Problem 3 The Ministry of Finance uses the standard Solow growth model to predict the long-run rate of GDP growth. The rate of population growth equals 0.01; the rate of technological progress equals

Answers

Answer 1

The new value of tax revenues, τ', should be 0.016 or 1.6% of GDP in order to stabilize the debt-to-GDP ratio at 120% of GDP.

The Solow growth model is an economic framework developed by Robert Solow in the 1950s. It is a neoclassical model that focuses on the long-run growth of an economy by examining the contributions of capital accumulation, labor force growth, and technological progress.

In the Solow growth model, the long-run rate of GDP growth is determined by the following factors:

Population Growth: The rate of population growth (n) represents the increase in the size of the labor force. Higher population growth leads to a larger workforce, which contributes to economic output and GDP growth.Technological Progress: The rate of technological progress (g) captures advancements in technology, innovation, and productivity improvements. Technological progress allows for more efficient use of inputs, leading to higher output and GDP growth.Capital Accumulation: The model considers the accumulation of physical capital (machinery, equipment, infrastructure) as an important driver of economic growth. Investment in capital goods increases the productive capacity of the economy, contributing to GDP growth.

The long-run rate of GDP growth (g) in the Solow growth model is given by the equation:

g = (s / (1 - s)) x  [tex][A (L/K)^{(1-\alpha) } - \beta ][/tex]

Where:

s is the savings rate (the fraction of income saved and invested),

A represents the level of technology,

L is the labor force,

K is the capital stock,

α is the capital's share in income (a parameter typically assumed to be between 0 and 1), and

β is the depreciation rate of capital.

a) To determine the dynamics of the debt-to-GDP ratio and assess if the debt is explosive or if it will stop growing, we can use the following equation:

Debt-to-GDP ratio (D/Y) = (1+r-g)(D/Y) + (g - τ)B/Y

Where:

r is the real interest rate

g is the rate of GDP growth

τ is the tax revenue as a percentage of GDP

B/Y is the debt-to-GDP ratio

In this case, we have r = 0.06, g = 0.04, τ = 0.405 - 0.4 = 0.005 (since tax revenues are 40.5% and government expenditures are 40% of GDP).

The debt-to-GDP ratio will continue to grow over time and will eventually become explosive. This is because the real interest rate is greater than the rate of GDP growth. The government is spending more money than it is taking in, and this difference is being financed by borrowing. As the debt-to-GDP ratio grows, the interest payments on the debt will become a larger and larger share of government spending. This will lead to even higher deficits and even more borrowing, which will cause the debt-to-GDP ratio to grow even faster.

b) In order to stabilize the debt-to-GDP ratio at 120% of GDP, the government must increase tax revenues to 45% of GDP. This is because the government's current spending is 40% of GDP, and the interest payments on the debt will be 6% of GDP. Therefore, the government must raise taxes by 5% of GDP in order to cover its spending and interest payments.

Here is the calculation:

Government spending = 40% of GDP

Interest payments = 6% of GDP

Total government spending = 40 + 6 = 46% of GDP

Tax revenues = 45% of GDP

The government can achieve a balanced budget by raising taxes to 45% of GDP. This will allow the government to cover its spending and interest payments, and the debt-to-GDP ratio will stabilize at 120% of GDP.

The correct and complete question is:

The Ministry of Finance uses the standard Solow growth model to predict the long-run rate of GDP growth. The rate of population growth equals 0.01;the rate of technological progress equals 0.04.The predicted rate of GDP growth helps to assess the stability of public debt-to-GDP ratio in (a)and(b)below.

a)The real interest rate equals r=0.06.Tax revenues are equal to40.5%of GDP i.e.=0.405 and government expenditures on goods and services are equal to 40% of GDP i.e.=0.4 they are expected to remain at these levels. Show the dynamics of the debt-to-GDP ratio in a graph. ls the debt explosive or it will stop growing?

b) Now assume that interest rate, GDP growth rate, and government spending are as in(a) The government changes the tax revenues in order to stabilize the debt-to-GDP ratio at 120% of GDP. Calculate the new value of tax revenues in percent of GDP

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Patrick Ross, the president of M & M Materials Company, has asked for information about the cost behavior of manufacturing overhead costs. Specifically, he wants to know how much overhead cost is fixed and how much is variable. The following data are the only records available:
Month Machine-hours Overhead Costs February 1,870 $22,500 March 3,080 24,475 April 1,200 24,321 May 2,750 23,650 June 3,700 31,196
Required: Using the high-low method, determine the MONTHLY overhead cost equation. (Use machine-hours as your cost driver.)

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The monthly overhead cost equation can be expressed as: Overhead cost = Fixed cost + (Variable cost per machine-hour × Number of machine-hours)

In the high-low technique, the periods with the highest and lowest activity levels are chosen, and the change in cost corresponding to the change in activity is calculated. In this instance, June (3,700 machine-hours) and April (1,200 machine-hours) indicate the highest and lowest activity levels, respectively.

The first step is to calculate the change in activity (change in machine hours): 3,700 - 1,200 = 2,500 machine hours.

The overhead cost in June ($31,196) is subtracted from the overhead cost in April ($24,321) to determine the difference in cost: $31,196 - $24,321 = $6,875.

The change in cost is divided by the change in activity to determine the variable cost per machine-hour: $2.75 per machine hour is equal to $6,875 / 2,500 machine hours.

Calculating the fixed cost comes after determining the variable cost per machine-hour. This is accomplished by deducting the overall overhead expense for any given month from the variable cost per machine-hour multiplied by the activity level. Let's use the May statistics as an illustration:

May's overhead was $23,650.

2,750 machine hours in May

Variable cost in May: $2.75 per machine-hour * 2,750 machine-hours = $7,562.50

Fixed cost in May: Total overhead cost - Variable cost = $23,650 - $7,562.50 = $16,087.50

Therefore, the following is an expression for the monthly overhead cost equation:

Overhead cost = Fixed cost + (Variable cost per machine-hour * Number of machine-hours)

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The manager of company collects monthly data on advertising expenditure (x) and sales (y) in thousands of pounds over a 48- month period. She finds that x has a sample mean of 40 and sample variance of 125; whilst ye has a sample mean of 55 and sample variance of 300. Additionally, the sample covariance between x and yt is 150, and the sample correlation coefficient is 0.85. She asks you to estimate the following linear regression: Yt=B0+ B1xt + et

1- Describe the method of ordinary least squares (OLS).
2- Calculate the OLS estimates of Bo and B1 and interpret these estimates.

Answers

In this case, it suggests that for every additional unit of advertising expenditure, the estimated sales would increase by 1.2.

1. The method of ordinary least squares (OLS) is a statistical technique used to estimate the parameters of a linear regression model. It aims to find the best-fitting line that minimizes the sum of the squared differences between the observed values and the predicted values of the dependent variable. In other words, it finds the line that best represents the relationship between the independent variable(s) and the dependent variable.

OLS works by minimizing the sum of the squared residuals, where the residuals are the differences between the observed values and the predicted values of the dependent variable. This method assumes that the errors in the model are normally distributed and have constant variance.

2. To calculate the OLS estimates of Bo and B1, we can use the following formulas:

B1 = Cov(x, y) / Var(x)

Bo = mean(y) - B1 * mean(x)

Given the sample mean and sample variance of x and y, as well as the sample covariance between x and y, we can substitute these values into the formulas to calculate the estimates:

B1 = 150 / 125

  = 1.2

Bo = 55 - 1.2 * 40

  = 55 - 48

  = 7

Interpreting the estimates:

- B1 represents the slope of the regression line, which indicates the change in the dependent variable (sales) for a one-unit increase in the independent variable (advertising expenditure). In this case, for every additional unit of advertising expenditure, sales are estimated to increase by 1.2 units.

- Bo represents the intercept of the regression line, which is the value of the dependent variable (sales) when the independent variable (advertising expenditure) is zero. In this case, when there is no advertising expenditure, sales are estimated to be 7 units.

Therefore, the estimated linear regression equation is Yt = 7 + 1.2xt + et.

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Suppose L = 3, and consider the demand function x(p, w) defined by

X1(P, w)=(P2÷ P1+P2 +P3)×(w÷ P₁)

X2(p,w)=( P3÷P₁+ P2+ P3)×(w÷ P2)

X3(p, w) = (ẞp1÷p1+p2+p3)× (w÷p3)

Does this demand function satisfy homogeneity of degree zero and Walras' law when ẞ= 1? What about when ẞ€ (0,1)?

Answers

The demand functions may not satisfy the condition where the sum of the expenditure on all goods equals the total income in the economy, violating Walras' law.

To determine whether the demand function satisfies homogeneity of degree zero, we need to check if multiplying all prices and the income by a positive scalar λ leaves the demand unchanged.

Let's consider the demand function X1(P, w) and check its homogeneity of degree zero:

X1(P, w) = (P2 / (P1 + P2 + P3)) × (w / P₁)

Now, let's multiply all prices and the income by λ:

X1(λP, λw) = ((λP)2 / (λP1 + λP2 + λP3)) × (λw / (λP₁))

Simplifying this expression:

X1(λP, λw) = (λ^2P2 / λ(P1 + P2 + P3)) × (w / P₁)

Notice that the λ^2 term cancels with the λ in the denominator:

X1(λP, λw) = (P2 / (P1 + P2 + P3)) × (w / P₁)

We can observe that X1(P, w) = X1(λP, λw), which implies that the demand function X1 satisfies homogeneity of degree zero.

Now, let's check Walras' law for the given demand functions when ẞ = 1:

Walras' law states that the sum of the expenditure on all goods at market prices should equal the total income in the economy.

For simplicity, we'll consider a three-goods economy.

The total expenditure on goods can be calculated as:

P₁X1 + P₂X2 + P₃X3

Substituting the demand functions:

P₁X1 + P₂X2 + P₃X3 = P₁((P₂ / (P₁ + P₂ + P₃)) × (w / P₁)) + P₂((P₃ / (P₁ + P₂ + P₃)) × (w / P₂)) + P₃((1 / (P₁ + P₂ + P₃)) × (w / P₃))

Simplifying:

P₁X1 + P₂X2 + P₃X3 = (P₂w / (P₁ + P₂ + P₃)) + (P₃w / (P₁ + P₂ + P₃)) + (w / (P₁ + P₂ + P₃))

Combining like terms:

P₁X1 + P₂X2 + P₃X3 = (P₂w + P₃w + w) / (P₁ + P₂ + P₃)

Factoring out w from the numerator:

P₁X1 + P₂X2 + P₃X3 = w(P₂ + P₃ + 1) / (P₁ + P₂ + P₃)

Since the numerator of the right-hand side contains w and the denominator contains P₁ + P₂ + P₃, we can conclude that Walras' law is satisfied when ẞ = 1.

However, when ẞ € (0,1), the demand functions may not satisfy Walras' law. The presence of the term ẞp₁ in X3(p, w) implies that the expenditure on good 3 depends on the price of good . Therefore, the demand functions may not satisfy the condition where the sum of the expenditure on all goods equals the total income in the economy, violating Walras' law.

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Question 8 Betty DeRose, Inc. operates two departments, the handling department and the packaging department. During April, the handling department reported the following information: work in process, April 1 units started during April work in process, April 30 units 27,000 51,000 32,000 work in process, April 1 costs added during April total costs % complete DM 60% DM $ 67,330 $277,070 $344,400 75% The cost of beginning work in process and the costs added during April were as follows: % complete conversion 25% Conversion $141,120 $257,520 $398,640 45% Total cost $208,450 $534,590 $743,040 Calculate the cost of goods completed and transferred out during April using the FIFO process costing method.

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The cost of goods completed and transferred out during April using the FIFO process costing method is $743,360.

What is the cost of goods completed and transferred out during April using the FIFO process costing method?

To calculate the cost of goods completed and transferred out using the FIFO (First-In-First-Out) process costing method, we need to allocate the costs based on the order in which the units entered the production process.

Here's the step-by-step calculation:

Calculate the equivalent units of production for both direct materials (DM) and conversion costs:

  - Equivalent units of DM = Units started during April + Work in process, April 1 units - Work in process, April 30 units

  = 51,000 + 27,000 - 32,000

  = 46,000 units

   Equivalent units of conversion = Units started during April + Work in process, April 1 units - Work in process, April 30 units

  = 51,000 + 27,000 - 32,000

  = 46,000 units

Calculate the cost per equivalent unit for DM and conversion costs:

  Cost per equivalent unit of DM = Total DM costs / Equivalent units of DM

  = $344,400 / 46,000

  = $7.49 per unit

  - Cost per equivalent unit of conversion = Total conversion costs / Equivalent units of conversion

  = $398,640 / 46,000

  = $8.67 per unit

Calculate the cost of goods completed and transferred out using the FIFO method:

  Cost of goods completed and transferred out = Equivalent units of production * Cost per equivalent unit

  = (Equivalent units of DM * Cost per equivalent unit of DM) + (Equivalent units of conversion * Cost per equivalent unit of conversion)

  = (46,000 * $7.49) + (46,000 * $8.67)

  = $344,540 + $398,820

  = $743,360

Therefore, the cost of goods completed and transferred out during April using the FIFO process costing method is $743,360.

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Quinlan-Cohen, Inc., publishers of movie and song trivia books, made the following errors in adjusting the accounts at year-end (December 31):
Did not accrue $2,000 owed to the company by another company renting part of the building as a storage facility.
Did not record $15,200 depreciation on the equipment costing $109,000.
Failed to adjust the Unearned Fee Revenue account to reflect that $1,300 was earned by the end of the year.
Recorded a full year of accrued interest expense on a $22,800, 10 percent note payable that has been outstanding only since November 1.
Failed to adjust Prepaid Insurance to reflect that $700 of insurance coverage had been used.

Answers

Quinlan-Cohen, Inc. needs to make adjustments to reflect $2,000 accounts receivable, $15,200 depreciation, $1,300 earned revenue, appropriate interest expense, and $700 prepaid insurance usage in their year-end accounts.

The errors made by Quinlan-Cohen, Inc. in adjusting the accounts at year-end have significant implications for the accuracy of their financial statements.

Firstly, not accruing $2,000 owed by another company renting part of the building as a storage facility understates the accounts receivable and revenue. This error leads to an understatement of assets and potentially overstates the profitability of the company.

Secondly, failing to record $15,200 in depreciation on the equipment costing $109,000 results in an understatement of accumulated depreciation and an overstatement of the equipment's net book value. This error affects the accuracy of the balance sheet and could impact the calculation of income and tax liabilities.

Thirdly, the failure to adjust the Unearned Fee Revenue account to reflect $1,300 earned by the end of the year overstates the unearned revenue liability. This error could lead to an overstatement of liabilities and understatement of revenue in the income statement.

Fourthly, recording a full year of accrued interest expense on a $22,800, 10 percent note payable that has been outstanding only since November 1 results in an overstatement of interest expense. This error affects the accuracy of the income statement and potentially impacts the calculation of interest payable.

Lastly, the failure to adjust Prepaid Insurance to reflect $700 of insurance coverage used leads to an overstatement of the prepaid asset and understates the expense. This error affects the accuracy of the balance sheet and income statement.

To rectify these errors, Quinlan-Cohen, Inc. needs to make appropriate adjusting journal entries to reflect the correct account balances and ensure the accuracy of their financial statements. Consulting with a qualified accountant or auditor is recommended to ensure the adjustments are accurately made and financial statements are corrected accordingly.

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How is income recognized in cash basis accounting?
How are dividends taxed?
Your friend John files his own tax returns. He received a computer as a dividend from a closely held corporation. He says that he does not need to report the computer as dividend income because the dividend was not paid in cash. Is he right?

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In cash basis accounting, income is recognized when cash is received and expenses are recognized when cash is paid. So, in cash basis accounting, income is recognized when the business actually receives it.

On the other hand, the expenses are recognized when they are actually paid or cash is given out.

Moreover, dividends are taxed at different rates based on whether they are qualified or non-qualified dividends.

Qualified dividends are taxed at the same rates as long-term capital gains.

Non-qualified dividends are taxed as ordinary income at the taxpayer's individual income tax rate.

Your friend John is wrong.

He has to report the computer as dividend income on his tax returns because the dividend was received from a closely held corporation.

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Level Grade Engineering, Inc., sometimes uses explosives to prepare land for construction projects. Strict liability is imposed on this activity because
a. Level Grade is a corporation.
b. the activity is inherently negligent.
c. the activity is of a dangerous nature.
d. the amount of liability can be added to the costs of construction.

Answers

The correct option for the question "Level Grade Engineering, Inc., sometimes uses explosives to prepare land for construction projects. The correct option is C.

Strict liability is imposed on this activity because" is C) the activity is of a dangerous nature.  Level Grade Engineering, Inc., sometimes uses explosives to prepare land for construction projects. Strict liability is imposed on this activity because the activity is of a dangerous nature.

Strict liability refers to the responsibility or accountability imposed upon a person or entity irrespective of their negligence or intention when such liability arises out of their actions or omissions.

There are specific conditions that must be met before strict liability can be imposed on any activity. One of such conditions is that the activity must be of a dangerous nature. This condition is fulfilled in this scenario as the company uses explosives to prepare land for construction projects, which is, by all means, a dangerous activity. Therefore, the imposition of strict liability on this activity is justified.

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milton company has total current assets of $52,000, including inventory of $13,500, and current liabilities of $28,000. the company's current ratio is:
a. 2.23
b. 1.27
c. 0.57
d. 1.75

Answers

The company's current ratio is 1.27. The process for calculating the current ratio is quite simple: Simply divide the existing assets by the current liabilities of the organisation.

Current liabilities are debts that are due for payment within a year, whereas current assets are those that may be turned into cash within a year. The current ratio illustrates how a company's assets and liabilities are related. Consequently, a greater ratio indicates that the corporation has more assets than liabilities.

For instance, if a corporation has a current ratio of 4, it could theoretically pay down its current liabilities four times over. The debt-to-asset ratio is another name for the ratio of obligations to assets.

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Which of the following orders to buy or sell is an odd lot?
a.$3880 worth of shares at $20
b.500 shares at $22.50
c.$8600 worth of shares at $4.30
d.1000 shares at $10

Answers

Among the options you provided, the odd lot order is: a. $3880 worth of shares at $20. An odd lot refers to a quantity of shares that is less than the standard trading unit or board lot. The standard trading unit can vary depending on the stock exchange and the specific security.

In most cases, an odd lot refers to a quantity of shares less than 100.Among the options you provided, the odd lot order is: a. $3880 worth of shares at $20.

This is an odd lot because the quantity of shares is not specified, and the value of the order is given. To determine the number of shares, we can divide the total value by the share price:

Number of shares = Total value / Share price

              = $3880 / $20

              = 194 shares

Since the quantity of shares is less than 100, it is considered an odd lot.

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DO "O supply 4. Short-run equilibrium and long-run aggregate supply The following graph shows several aggregate demand and aggregate supply curves for an economy whose potential output is $5 trilion.

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In an economy with a potential output of $5 trillion, the short-run equilibrium is determined by the intersection of aggregate demand (AD) and short-run aggregate supply (SRAS).

It represents the current level of output and price level. However, in the long run, the economy tends to reach its potential output and equilibrium is determined by the intersection of AD and long-run aggregate supply (LRAS). LRAS represents the maximum sustainable output based on factors such as labor, capital, and technology. Analyzing different AD and AS curves helps understand how changes in demand and supply impact stability and growth, as shifts in these curves can lead to fluctuations in output, prices, and overall economic performance.

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--The complete question is, How does the short-run equilibrium and long-run aggregate supply differ in an economy with a potential output of $5 trillion when analyzing the effects of different aggregate demand and aggregate supply curves on overall economic stability and growth?--

oberon, inc. has a $20 million (face value) 10-year bond issue selling for 97 percent of par that pays an annual coupon of 8.25 percent. what would be oberon’s before-tax component cost of debt?

Answers

We need to consider the annual coupon payment, the current market price of the bond, and the face value of the bond. Therefore, Oberon, Inc.'s before-tax component cost of debt is 8.495%

Annual coupon payment = Coupon rate * Face value

                     = 8.25% * $20 million

                     = $1,650,000

Market price of the bond = 97% of face value

                       = 0.97 * $20 million

                       = $19,400,000

To calculate the before-tax component cost of debt, we divide the annual coupon payment by the market price of the bond:

Before-tax component cost of debt = Annual coupon payment / Market price of the bond

                                = $1,650,000 / $19,400,000

                                ≈ 0.08495 (rounded to five decimal places)

Converting this to a percentage, the before-tax component cost of debt for Oberon, Inc. is approximately 8.495%.

Therefore, Oberon, Inc.'s before-tax component cost of debt is 8.495%.

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Machine breakdown and repair in a twelve machine factory having three repair mechanics would develop which type of queuing system line structure concerning machine breakdowns?
A) Machine breakdown and repair in a twelve machine factory having three repair mechanics would develop which type of queuing system line structure concerning machine breakdowns?
B) Machine breakdown and repair in a twelve machine factory having three repair mechanics would develop which type of queuing system line structure concerning machine breakdowns?
C) Multichannel, single phase
D) Multichannel, multiphase
E) None of the above

Answers

C) Multichannel, single phase. In a twelve machine factory with three repair mechanics, the queuing system line structure concerning machine breakdowns would typically be classified as a multichannel, single phase system.

In this scenario, the breakdowns of the twelve machines can be considered as individual arrival processes, forming a single phase. The repair mechanics can be seen as multiple channels through which the breakdowns are serviced. Each repair mechanic can attend to one machine at a time, and the machines are serviced independently.

This queuing system structure allows for parallel processing of breakdowns, where multiple machines can be repaired simultaneously by different mechanics. It helps to reduce waiting times and increase efficiency in resolving machine breakdowns.

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Use lean accounting to prepare journal entries for the following transactions. 1. Applied $45,200 of conversion costs to production. 2. Incurred actual conversion costs of $45,200. Note: Credit "Vario

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Using lean accounting principles, the journal entry for the transaction "Applied $45,200 of conversion costs to production" would be as Date: [Date of the transaction], Debit: Work in Process (Conversion Costs) [$45,200], Credit: Various Accounts [$45,200]

Lean accounting aims to simplify the accounting process and eliminate waste. In this transaction, conversion costs (e.g., direct labor, manufacturing overhead) are being applied to production.

To track these costs, the Work in Process (Conversion Costs) account is debited for the amount of $45,200.

Since the transaction involves multiple accounts, a credit is made to the "Various Accounts" category.

This category represents the different accounts related to conversion costs, such as salaries and wages payable, manufacturing overhead control, or other relevant accounts.

The specific accounts would depend on the nature of the costs incurred.

By using the "Various Accounts" credit, lean accounting avoids creating unnecessary accounts for each specific cost element.

This simplifies the recording process and reduces complexity.

Additionally, it allows for flexibility in allocating the conversion costs across different accounts, based on the specific needs of the organization.

Lean accounting emphasizes providing relevant and concise information for decision-making, without adding unnecessary steps or complexities.

This approach streamlines the accounting process, enabling the company to focus on value creation and continuous improvement.

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Question:Use lean accounting to prepare journal entries for the following transactions. 1. Applied $45,200 of conversion costs to production. 2. Incurred actual conversion costs of $45,200. Note: Credit "Various Accounts." View transaction list Journal entry worksheet A B Applied $45,200 of conversion costs to production. Note: Enter debits before credits. Transaction General Journal Credit 1 Record entry Clear entry View general journal Debit

which of the following statements is false concerning the board member and her hidden agenda?
a. She was a rogue board member in every sense of the word with a personal agenda that only became clear at a later point in time.
b. Her personality overpowered some board members and caused dissension among the others. c. She had strategically placed the past board member, who turned out to have an ongoing personal relationship with her, internally to sabotage the current operations of the organization and discredit the CEO. d. She then planned to promote herself into the CEO position, thus replacing the job from which she was about to retire.

Answers

The false statement is C. She had strategically placed the past board member, who turned out to have an ongoing personal relationship with her, internally to sabotage the current operations of the organization and discredit the CEO.

The other statements (a, b, and d) describe various aspects of the board member's hidden agenda, but statement c introduces an additional element that is not mentioned in the question. There is no information provided about the board member strategically placing a past board member to sabotage operations and discredit the CEO.

It's important to carefully evaluate each statement and consider the information provided in the question. In this case, statement c introduces a new element that goes beyond the given information and is therefore false.By studying real-world examples and examining the dynamics between board members, executives, and stakeholders, one can gain insights into the complexities and potential consequences of hidden agendas within an organizational context

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Media for marketing (Turkey)

a. Agency assistance

b. Coverage of various media

Answers

Media for marketing has become essential for the advertising and promotion of products and services. Turkish advertising agencies that specialize in media marketing play a significant role in helping businesses reach their target market.

Agency Assistance, Turkish advertising agencies assist businesses with all aspects of media marketing, including market research, strategic planning, and media buying. The market research phase involves the collection of data on consumer behavior and purchasing patterns, which the advertising agency uses to create a strategic plan that will reach the target audience. The strategic planning phase includes deciding on the most effective forms of advertising to reach the target audience. This may involve a combination of television, radio, print, and online advertising, depending on the target market. The media buying phase involves the actual purchase of advertising space, negotiating the best rates, and ensuring that the advertisements are placed in the most effective locations.

Coverage of Various Media Turkey has a diverse range of media outlets, including television, radio, newspapers, magazines, and online media. Advertising agencies in Turkey specialize in utilizing the various forms of media to reach a broader audience and maximize the impact of the advertising campaign. Television advertising is particularly effective in Turkey, as television is the primary source of entertainment for most Turks.

In addition, the use of online advertising has grown rapidly in recent years, with many Turkish consumers accessing the internet via smartphones and tablets. Media for marketing has become essential for businesses looking to promote their products and services in Turkey.

Turkish advertising agencies play a significant role in helping businesses reach their target audience through strategic planning and media buying. The coverage of various media outlets is also essential in reaching a broader audience, with television and online advertising being particularly effective.

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One can perfect on a deposit account: Select one: a. only by filing a financing statement. b. only by taking possession. c. only by taking 'control' of it. d. by filing a financing statement or by taking 'control' of it.

Answers

One can perfect on a deposit account by filing a financing statement or by taking 'control' of it. Option d is correct.

A deposit account is a kind of bank account that lets customers deposit money and withdraw funds whenever they require them. Checking, savings, and money market accounts are the most prevalent types of deposit accounts.

Secured creditors may 'perfect' security interests in deposit accounts and other assets by filing financing statements with the relevant state authorities or by taking possession or control of the property.

Possession or control of a deposit account may be acquired through control agreements between the account holder, secured party, and bank, with the bank acting as custodian of the account for the secured creditor.

Therefore, d is correct.

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16) ________ and ________ are typically the most easily identifiable aspects of a company's business model.
A) Market strategy, market opportunity
B) Value proposition, revenue model
C) Value proposition, competitive environment
D) Revenue model, market strategy

Answers

B) Value proposition, revenue model are typically the most easily identifiable aspects of a company's business model.

A business model is a company's approach for generating revenue and earning a profit from its operations. It specifies how a company makes, delivers, and sells its goods or services. A good business model will demonstrate the company's uniqueness and competitive advantage over its competitors. Aspects of a company's business model: The value proposition and revenue model are typically the most easily identifiable aspects of a company's business model. A value proposition is a statement that describes a company's product or service's unique selling point. A company's revenue model refers to the way it makes money by generating revenue through its operations and sales. Hence, B) Value proposition, revenue model are typically the most easily identifiable aspects of a company's business model.

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william wants his friend ellen to divorce her husband. william and ellen enter into an agreement that provides that if ellen gets a divorce from her husband within one year, william will pay ellen $10,000.00. ellen get a divorce from her husband within six (6) months. william refuses to pay ellen any money. ellen sues william for $10,000.00 based upon their agreement. ellen will win this lawsuit. true false

Answers

The given statement "william wants his friend ellen to divorce her husband. william and ellen enter into an agreement that provides that if ellen gets a divorce from her husband within one year, william will pay ellen $10,000.00. ellen sues william for $10,000.00 based upon their agreement. ellen will win this lawsuit." is False because  Ellen is unlikely to win this lawsuit.

The agreement between William and Ellen to pay $10,000.00 if Ellen gets a divorce within one year can be considered a form of a "divorce inducement" or "divorce incentive" agreement. Such agreements are generally disfavored and may be considered against public policy in many jurisdictions. Courts are often hesitant to enforce contracts that encourage or promote the dissolution of marriages.

The enforceability of divorce inducement agreements can vary depending on the specific laws and regulations of the jurisdiction where the lawsuit is filed.

However, it is more common for courts to view these agreements as unenforceable and contrary to public policy. Therefore, it is unlikely that Ellen would succeed in her lawsuit to claim the $10,000.00 from William based on their agreement.

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(Write 6-7 sentence ) How could England insist on free trade
policy in spite of merchandise trade deficits in the late 19th
century?

Answers

England was able to promote free trade due to its dominance in the global economy and its belief in the benefits of increased competition and productivity. This allowed it to expand its economic reach and access new markets, and pressure other countries to adopt free trade policies.

In the late 19th century, despite facing significant merchandise trade deficits, England was able to insist on a free trade policy by exploiting its dominant economic position in the world. The country had a vast empire that provided a steady supply of raw materials and a large market for finished goods, which gave it significant bargaining power in international trade negotiations. Additionally, England's industrialization had given it a technological advantage that allowed it to produce goods more efficiently and at a lower cost than other countries.
By promoting free trade, England was able to further expand its economic reach and access new markets for its goods. The country believed that by promoting free trade, it would lead to increased competition and productivity, ultimately benefiting consumers and the overall economy. Furthermore, England was able to use its influence to pressure other countries to adopt free trade policies.
Overall, England's dominance in the global economy, combined with its belief in the benefits of free trade, allowed it to insist on this policy despite facing trade deficits.

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It may take several exposures to marketing communications before consumers are moved to buy:________

Answers

It may take several exposures to marketing communications before consumers are moved to buy: building awareness, generating interest, and ultimately influencing purchasing decisions.

It may take several exposures to marketing communications before consumers are moved to buy. This is because consumers typically go through a series of stages in the purchasing process. Initially, they need to become aware of a product or service through marketing efforts that create brand awareness and grab their attention. Subsequent exposures help build familiarity, generate interest, and create a desire for the product or service. These repeated exposures enable consumers to gather more information, compare options, and evaluate the benefits and value proposition offered. Only after multiple exposures and positive reinforcement do consumers reach a point where they are motivated to make a purchase. Therefore, effective marketing strategies often employ consistent and repeated messaging to influence consumer behavior over time.

Therefore, it may take several exposures to marketing communications before consumers are moved to buy: building awareness, generating interest, and ultimately influencing purchasing decisions.

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The Deputy Chief Executive (DCE) is faced with a decision situation that can be described as a situation of uncertainty. Which Decision-making model will be used in this decision situation?

Answers

In a situation of uncertainty, the decision-making model that will be used by the Deputy Chief Executive (DCE) is the bounded rationality decision-making model. This model is also known as the incremental model or the satisficing model.

In a situation of uncertainty, the decision-making model that will be used by the Deputy Chief Executive (DCE) is the bounded rationality decision-making model. This model is also known as the incremental model or the satisficing model. The reason why this model is suitable for this situation is that in a situation of uncertainty, it is usually difficult for decision-makers to find an optimal solution to the problem. This is because there is little or no information about the future or the consequences of the decision. Therefore, the decision-maker is forced to make a decision based on limited information and cognitive resources.

The bounded rationality model is used when the decision-maker cannot obtain all the information necessary to make a rational decision, so they use a simplified decision-making strategy to reduce the complexity of the problem. This model is based on the idea that decision-makers are not always able to make the best decision due to the limitations of their cognitive abilities, resources, and the time available to them. The decision-maker uses a set of heuristics, or mental shortcuts, to simplify the problem and make a satisfactory decision. In this case, the Deputy Chief Executive (DCE) will use this model to make a decision based on the information that is available to them at the time.

They will not be able to obtain all the information they need to make an optimal decision, so they will use heuristics to simplify the problem and make a satisfactory decision. This means that the decision they make may not be the best decision, but it will be a decision that they can live with based on the information that is available to them. The bounded rationality model is useful in situations of uncertainty because it allows decision-makers to make decisions quickly and efficiently, without being paralyzed by the complexity of the problem. It is also useful when the decision-maker is under time pressure and needs to make a decision quickly.

The bounded rationality model is the most appropriate decision-making model for the Deputy Chief Executive (DCE) to use in a situation of uncertainty. This model allows decision-makers to make a satisfactory decision based on limited information and cognitive resources. The bounded rationality model is based on the idea that decision-makers cannot always obtain all the information necessary to make a rational decision, so they use heuristics to simplify the problem and make a satisfactory decision. The Deputy Chief Executive (DCE) will use this model to make a decision based on the information that is available to them at the time, even though it may not be the best decision.

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Exon Company purchased equipment for $240,000 on January 1, 2018. The equipment has an estimated residual value of $20,000 and an estimated useful life of 10 years. The company depreciates the equipment using the double declining balance method. On January 1, 2021, the company determines that the total useful life is 8 years and the estimated residual value is $3,000.
Required:
1. The equipment's book value at January 1, 2021 is $ ... . Round your final answer to the nearest dollar.
2. The annual depreciation expense for 2021 is $ ... . Round your final answer to the nearest dollar.

Answers

The equipment's book value is $138240 as of January 1, 2021. Your final response should be rounded to the closest $1. Round up to 2. The final estimate to the nearest dollar for 2021's yearly depreciation expense is $ 46080.

The following formula determines the depreciation rate of machinery and equipment: (Acquisition cost - residual value) / years of useful life equals annual depreciation.

The straight-line method's annual depreciation calculation is (cost - salvage value) / useful life. The annual depreciation in this case would be $17,000, or ($100,000 - $15,000) / 5.

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b) Nusantara Spa needs to borrow approximately RM150,000 for a 6 months. The bank offers the company a choice of the following three (3) types of loan. i) Loan with simple interest rate of 7 percent with compensating balance of 15 percent of the amount loaned. (3 marks) ii) A discounted loan at a stated interest of 6.5 percent and 20 percent compensating balance. (3 marks) iii) A revolving line of credit of RM250,000 for a 1 percent commitment fee payable on advance on the unused funds and a 12 percent stated interest rate. (3 marks) iv) Justify which alternative should the company choose. (1 mark)

Answers

The choice of loan alternative for Nusantara Spa will depend on a thorough evaluation of the associated costs, the company's financial situation, and its borrowing needs.

Which loan alternative should Nusantara Spa choose for borrowing approximately RM150,000 for a 6-month period?

Nusantara Spa is considering three loan options to borrow approximately RM150,000 for a 6-month period.

The first option is a loan with a simple interest rate of 7 percent and a compensating balance requirement of 15 percent. The second option is a discounted loan with a stated interest rate of 6.5 percent and a compensating balance of 20 percent.

The third option is a revolving line of credit with a RM250,000 limit, a 1 percent commitment fee, and a 12 percent stated interest rate.

To determine the best alternative, several factors need to be considered. Firstly, the total cost of borrowing should be compared, taking into account the interest rate, compensating balance, and fees associated with each option. Secondly, the specific financial needs and cash flow patterns of Nusantara Spa should be assessed.

If the company anticipates fluctuating borrowing requirements, the flexibility offered by the revolving line of credit may be advantageous. On the other hand, if the loan amount is expected to remain constant, the simple interest or discounted loan may be more suitable.

Ultimately, the choice of loan alternative for Nusantara Spa will depend on a thorough evaluation of the associated costs, the company's financial situation, and its borrowing needs.

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We already know that reduced form equations being estimated separatly will be biased and inconsistent, but can the reduced form coefficients be estimated EFFICIENTLY by OLS applied each equation separately? Why?

Answers

Reduced form coefficients can be estimated efficiently by the OLS applied each equation separately. Let's discuss the reason below.OLS stands for Ordinary Least Squares.

It is an estimation technique used to estimate the parameters of the linear regression model. Reduced form equations are sets of linear equations that connect endogenous and exogenous variables that help in predicting the endogenous variable. These coefficients are estimated by OLS applied to each equation separately. The reduced-form approach can be used to estimate the coefficients of the endogenous variable's simultaneous equations model.

These equations can be written asX = β1 + β2Y + γ1Z1 + γ2Z2 + u1Y = δ1 + δ2X + θ1Z1 + θ2Z2 + u2Here, u1 and u2 are error terms. Now, if we solve these equations for X and Y, we can get the reduced form equations.X = α1 + α2Z1 + α3Z2 + ε1Y = β1 + β2Z1 + β3Z2 + ε2Here, ε1 and ε2 are the error terms of the reduced-form equations.

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The current stock price of IBM is $70. A put option on IBM with an exercise price of $66 sells for $7 and expires in 6 month(s). If the risk-free rate is 1.3% per year, what is the price of a call option on IBM with the same exercise price and expiration date (keep two decimal places)?

Answers

The price of a call option on IBM with the same exercise price and expiration date is approximately $11.39.

To determine the price of a call option on IBM with the same exercise price and expiration date, we can use the put-call parity relationship.

Put-Call Parity states that the price of a call option minus the price of a put option with the same exercise price and expiration date should be equal to the difference between the current stock price and the present value of the exercise price. Mathematically, it can be expressed as:

C - P = S - PV(X)

Where:

C = Price of the call option

P = Price of the put option

S = Current stock price

X = Exercise price

PV(X) = Present value of the exercise price

In this case, the put option price is given as $7, the exercise price is $66, and the current stock price is $70.

We can rearrange the equation to solve for the call option price:

C = P + S - PV(X)

To calculate PV(X), we need to discount the exercise price using the risk-free rate. Since the expiration is in 6 months, the time factor is 0.5 (half a year).

PV(X) = X / (1 + r)^t

PV(X) = 66 / (1 + 0.013)^0.5

Calculating PV(X), we find that PV(X) is approximately $65.61.

Substituting the given values into the put-call parity equation, we can solve for C:

C = 7 + 70 - 65.61

C ≈ $11.39

Therefore, the price of a call option on IBM with the same exercise price and expiration date is approximately $11.39.

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Which of the following changes would impact net income but not cash inflow? a. A decrease in dividends b. A decrease in inventories c. An increase in accounts payable d. An increase in depreciation expense

Answers

The following changes would impact net income but not cash inflow is an increase in depreciation expense.In accounting, net income and cash inflow are two essential measures. The correct option is D

Both net income and cash inflow are two different accounting measures, and they may be impacted differently by various accounting transactions. Certain changes can impact net income but not cash inflow.Net income is the amount of money left after all the expenses have been subtracted from the revenues. It represents the company's profitability. Net income is calculated by subtracting all expenses, including cost of goods sold, interest, tax, and depreciation, from the revenue.

Cash inflow refers to the amount of money that enters the business. Cash inflow may arise from various sources, such as sales, investments, and loans. Cash inflow is critical for a company's operations, as it provides liquidity and allows it to pay for expenses. The following changes would impact net income but not cash inflow: d) An increase in depreciation expense.

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Suppose your company manufactures 2,000 hard drives per year specifically for Apple laptop computers. Suppose your company’s average variable cost is $6 per unit, the annualised cost of investment to build a hard drive factory is $5,000, and market price (market price in the event Apple does not buy) is $8 per unit.

Based on the above information, answer the following questions.

(a) How much is your company's relationship specific investment?

(b) How much is your company's rent if Apple agrees to purchase the 2,000 hard drives at $10 per unit?

(c) How much is your company's quasi-rent if the deal your company had with Apple in part (b) falls apart?

Answers

(a) Relationship specific investment in the given scenario is the $5,000 annualized cost of investment to build a hard drive factory. So, the relationship specific investment is $5,000.

(b) The company manufactures 2,000 hard drives per year for Apple laptop computers. Apple agrees to purchase 2,000 hard drives at $10 per unit. Now, the revenue from Apple is,Revenue = Quantity × Price= 2,000 × $10= $20,000The total variable cost of producing 2,000 hard drives per year is 2,000 × $6 = $12,000,

So, the company's rent if Apple agrees to purchase the 2,000 hard drives at $10 per unit will be the difference between the revenue from Apple and the total variable cost of producing the hard drives, which is $20,000 − $12,000 = $8,000. Hence, the company's rent is $8,000.

(c) The quasi-rent is the company's alternative use of the factory that it has built, so the quasi-rent is the difference between the price it would receive from Apple for hard drives and the price it would receive if it sold the factory for alternative use.Suppose the company can sell the factory for $4,000.

Then, the total investment in the factory becomes $5,000 − $4,000 = $1,000. So, the company's quasi-rent if the deal your company had with Apple in part

(b) falls apart is $20,000 − $12,000 − $1,000 = $7,000. Hence, the company's quasi-rent is $7,000.

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a company started the year with $95,000 in its common stock account and a credit balance in retained earnings of $55,000. during the year, the company earned net income of $30,000 and declared and paid $8,000 of dividends. in addition, the company sold additional common stock amounting to $37,000. as a result, the amount of its retained earnings at the end of the year would be

Answers

The amount of retained earnings at the end of the year would be $77,000.

Retained earnings represent the accumulated profits or losses of a company that are not distributed as dividends. To calculate the ending retained earnings, we start with the beginning balance of retained earnings, which is $55,000. We then add the net income for the year, which is $30,000, and subtract the dividends paid, which is $8,000.

The company also sold additional common stock for $37,000, which does not affect the retained earnings directly. Therefore, the calculation is as follows: $55,000 + $30,000 - $8,000 = $77,000. Thus, the amount of retained earnings at the end of the year would be $77,000.

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Morris Leste, owner of Carlson Company, has three employees who
earn $525, $625, and $825 per week. What are the total state and
federal unemployment taxes that Morris owes for the first 11 weeks
of t

Answers

The total state unemployment tax Morris owes for the first 11 weeks is $1,108.80, and the total federal unemployment tax is $117.90.

To calculate the total state and federal unemployment taxes that Morris owes for the specified time periods, we need to consider the wages of his employees and the given tax rates.

For the first 11 weeks of the year:

Morris has three employees earning $525, $625, and $825 per week. To calculate the total wages for the first 11 weeks, we sum up the weekly wages and multiply by 11.

Total wages for the first 11 weeks = ($525 + $625 + $825) * 11 = $19,800

State unemployment tax:

The state unemployment tax rate is 5.6%.

State unemployment tax for the first 11 weeks = Total wages * State tax rate

State unemployment tax for the first 11 weeks = $19,800 * 0.056 = $1,108.80

Federal unemployment tax:

The federal unemployment tax rate is 0.6% on the first $7,000 of wages per employee.

Since we have three employees, we need to calculate the federal unemployment tax for each employee separately.

For the first employee earning $525 per week, we calculate the taxable wages as the minimum of $7,000 or the total wages for the first 11 weeks:

Taxable wages for the first employee = min($7,000, $525 * 11) = min($7,000, $5,775) = $5,775

Federal unemployment tax for the first employee = Taxable wages * Federal tax rate

Federal unemployment tax for the first employee = $5,775 * 0.006 = $34.65

Similarly, we calculate the federal unemployment tax for the other two employees.

For the second employee earning $625 per week:

Taxable wages for the second employee = min($7,000, $625 * 11) = min($7,000, $6,875) = $6,875

Federal unemployment tax for the second employee = $6,875 * 0.006 = $41.25

For the third employee earning $825 per week:

Taxable wages for the third employee = min($7,000, $825 * 11) = min($7,000, $9,075) = $7,000

Federal unemployment tax for the third employee = $7,000 * 0.006 = $42

Total federal unemployment tax for the first 11 weeks = Sum of federal unemployment tax for each employee

Total federal unemployment tax for the first 11 weeks = $34.65 + $41.25 + $42 = $117.90

Therefore, the total state unemployment tax Morris owes for the first 11 weeks is $1,108.80, and the total federal unemployment tax is $117.90.

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Question: Morris Leste, owner of Carlson Company, has three employees who earn $525, $625, and $825 per week. What are the total state and federal unemployment taxes that Morris owes for the first 11 weeks of the year and for week 30? Assume a state rate of 5.6% and a federal rate of 0.6% on the first $7,000?

C's neither acquired through one's reco Question 2: "What happens in HRD is not the only thing that matters - a focus on what happens before and after HRD is also be as important. HRD needs analysis must be prioritised before HRD design, implementation and evaluation." Comment on the above statement on the importance HRD needs analysis with organisational case examples based on your research and/or your organisational experience. (50 marks)

Answers

C's are neither learned consciously, as in the case of conscious learning, nor are they learned by hard study.

Rather, they are formed through the experiences of living in a community with others, experiencing shared experiences, and building relationships, as in the case of unconscious learning. There are many human resources development (HRD) models, and each one has its unique characteristics. HRD models offer an opportunity to develop employee abilities and competencies by identifying, prioritizing, and addressing individual and organizational development needs in a manner that is compatible with organizational objectives.

The value of HRD needs analysis is highlighted by the fact that it contributes to the achievement of organizational goals and the improvement of employee performance and development. Organizational Case Example HRD needs analysis is a crucial stage that aids in the design, implementation, and evaluation of HRD initiatives in an organization. An example of a company that has integrated HRD needs analysis into its HRD initiatives is Sainsbury's. The company conducted an HRD needs analysis in order to determine the abilities and competencies of its employees, as well as any deficiencies in their abilities and competencies that require HRD intervention.

The company's HRD department employed a mixed methodology to collect data from its employees. The data was then analyzed to identify the current skills and competencies of employees, as well as any areas that need HRD attention. The HRD department used the results of the HRD needs analysis to design and implement HRD initiatives that addressed the identified needs, including employee training and development programmer, leadership development initiatives, and career growth opportunities.

Sainsbury's human resource development initiatives have resulted in improved employee performance, development, and motivation, as well as the achievement of organizational goals.

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Its invoice price is $123,000, freight charges are estimated to be $3,000, and installation costs are expected to be $5,000. Salvage value of the new machine is expected to be zero after a useful life of 4 years. Existing equipment could be retained and used for an additional 4 years if the new machine is not purchased. At that time, the salvage value of the equipment would be zero. If the new machine is purchased now, the existing machine would be sold for $5,000. LGs accountant, Ethan Ng, has accumulated the following data regarding annual sales and expenses with and without the new machine.Without the new machine, LG can sell 10,000 units of product annually at a per unit selling price of $100. If the new unit is purchased, the number of units produced and sold would increase by 25%, and the selling price would remain the same.The new machine is faster than the old machine, and it is more efficient in its usage of materials. With the old machine the gross profit rate will be 28.5% of sales, whereas the rate will be 30% of sales with the new machine. (Note: These gross profit rates do not include depreciation on the machines. For purposes of determining net income, treat depreciation expense as a separate line item.). The old machine breaks down three to four times a year. The staff had requested the management to buy a new machine as the old machine is challenging to operate.Annual selling expenses are $160,000 with the current equipment. Because the new equipment would produce a greater number of units to be sold, annual selling expenses are expected to increase by 10% if it is purchased.Annual administrative expenses are expected to be $100,000 with the old machine, and $112,000 with the new machine.The current book value of the existing machine is $40,000. LG uses straight-line depreciation.LGs management has a required rate of return of 15% on its investment and a cash payback period of no more than 3 years.Additional information:The company provides jobs to many local citizens where they are located. Having the new machine will reduce the hiring of new employees in the coming future.If there are any cost savings, the management would like to use the money for training and professional development of staff.The old machine is more environmentally compared to the new machine.Based on research, the inventory turnover will change from 3.45 to 3.47 with the new machineInstructions:Write a memo to the Chief Financial Officer and the President of the company detailing your explanation of your recommendations. Please note the President has no finance background.You recommendation should have the following but not limited to:(Ignore income tax effects.)Calculate the annual rate of return for the new machine. (Round to two decimals.)Compute the cash payback period for the new machine. (Round to two decimals.)Compute the net present value of the new machine. (Round to the nearest dollar.)On the basis of the foregoing data, would you recommend that LG buy the machine? Why or why not?If the required rate of return is 13% and 20%, what will your recommendation be?Make sure you reference your work properly.The memo should not exceed 2,000 words.Hint:To include in your memo, theory; what is the rate of return? And etc.Analysis would include quantitative and qualitative analysis. 1. You will need your ticker code (company abbreviation) for stock prices for this question. Use your ticker code to obtain the closing prices for the following two time periods to obtain two data sets: March 2, 2019 to March 16, 2019 Data set A February 16, 2019 to February 28, 2019 Data set B Take the closing prices from data set B and add 0.5 to each one of them. Treat data sets A and B as hypothetical sample level data on the weights of newborns whose parents smoke cigarettes (data set A), and those whose parents do not (data set B). a) Conduct a hypothesis test to compare the variances between the two data sets. b) Conduct a hypothesis to compare the means between the two data sets. Selecting the assumption of equal variance or unequal variance for the calculations should be based on the results of the previous test. c) Calculate a 95% confidence interval for the difference between means. Data set A: total= 677.98, mean= 67.798, n= 10, variance= 0.663084, std devition= 0.814299972 Data set B: total= 574.24, mean=71.78, n=8, variance= 0.727143, std devition= 0.852726719 Do not use excel function for p value. Show all your work2. Take data sets A and B and delete duplicated values such that each value is unique even when pooling the two data sets. Just like with the previous problem, treat data sets A and B as hypothetical data on the weights of children whose parents smoke cigarettes, and those whose parents do not, respectively.Calculate the expected value of the Wilcoxon Rank-Sum test statistic E(WX) assuming the null hypothesis of equal medians being true.Conduct a Wilcoxon Rank-Sum test on the data.Data set A: total= 677.98, mean= 67.798, n= 10, variance= 0.663084, std devition= 0.814299972Data set B: total= 574.24, mean=71.78, n=8, variance= 0.727143, std devition= 0.852726719Do not use excel function for p value.Show all your work