Matt sells usually sells goods at $130 each, he gives Anil a trade discount of $10 so he sells goods to Anil for $120. He also offers a cash discount of 5% for prompt payment. Matt is registered for VAT. This means that $120 x 5% = $6 cash discount is available. How much output VAT should Matt include on Anil's invoice?

Answers

Answer 1

The output VAT that Matt should include on Anil's invoice is $12. This is calculated as follows: Output VAT = (Net sales × VAT rate) ÷ (100% + VAT rate) Net sales = $120 − $6 (cash discount) = $114VAT rate = 10% (since Matt is registered for VAT) Output VAT = ($114 × 10%) ÷ (100% + 10%) = $11.40 ≈ $12

Matt sold the goods to Anil for $120, after deducting a trade discount of $10. He also offered a cash discount of 5% for prompt payment. Since Matt is registered for VAT, he is liable to charge VAT on the sale.In order to calculate the output VAT on the sale, we need to determine the net sales amount first. The net sales amount is the amount that is subject to VAT. To calculate this, we need to deduct the cash discount from the invoice amount. In this case, the cash discount is $6, so the net sales amount is $120 - $6 = $114. This is the amount on which the VAT will be charged.The VAT rate that Matt needs to charge is 10%, which is the standard rate in his country. To calculate the output VAT, we need to apply the formula:Output VAT = (Net sales x VAT rate) / (100% + VAT rate)Substituting the values in the formula, we get:Output VAT = ($114 x 10%) / (100% + 10%) = $11.40 ≈ $12Therefore, the output VAT that Matt should include on Anil's invoice is $12. This is the amount that Anil will pay in addition to the net sales amount of $114, making the total invoice amount $126.

Matt is liable to charge VAT on the sale of goods to Anil. He needs to include the output VAT on the invoice. The output VAT is calculated as a percentage of the net sales amount, which is the invoice amount minus any cash discounts. In this case, the output VAT is $12. This is the amount that Anil will pay in addition to the net sales amount of $114.

To know more about the Invoice visit:

brainly.com/question/32570394

#SPJ11


Related Questions

Consider the following particulars about an alternative

Initial cost = $420000
Equivalent annual benefit = $116520
Life (years) = 5

(i) Draw a cash flow diagram for the alternative.
(ii) Find the Internal Rate of Return of the alternative.
(iii) If the MARR(Minimum Attractive Rate of Return) is 14%, should the alternative be accepted? Why?

Answers

This is because it provides a return greater than the minimum required return of 14%.Given the particulars about an alternative, the steps to find the Internal Rate of Return of the alternative are as follows:Step 1: Find the PV of cash inflows and cash outflows.

Calculate the IRR by interpolation.IRR is the rate that equates the PV of cash inflows with the PV of cash outflows. When the IRR is used as a discount rate, the NPV is zero.Using the formula for NPV, we get:NPV = 0 = CF0 + CF1 / (1 + IRR) + CF2 / (1 + IRR)² + CF3 / (1 + IRR)³ + CF4 / (1 + IRR)⁴Putting in the given values, we get:0 = -300000 + 200000 / (1 + IRR) + 160000 / (1 + IRR)² + 100000 / (1 + IRR)³ + 70000 / (1 + IRR)⁴

With the help of trial and error, we get an IRR of 26.37%. (note: You can use Excel or a financial calculator to solve for the IRR).Check if the alternative should be accepted.If the IRR is greater than the MARR, the alternative should be accepted, and if it is less than the MARR, it should be rejected.IRR > MARR

Hence, the alternative should be accepted since the IRR (26.37%) is greater than the MARR (14%).

To know more about Rate of Return, refer to the link:

https://brainly.com/question/17164328#

#SPJ11

Question 5 Bikes Ltd. offers customers a loyalty card whereby customers receive a stamp every time they have their bike tuned up. Upon presentation of 5 stamps, customers are entitled to receive a bike light for $5. It is expected that 75% of the stamps will be redeemed. Tune-ups cost $20 and retail for $50 each; lights cost $10 and retail for $25. 1,000 lights have been purchased as prizes. In 20X9, 6,000 tune-ups were completed and 750 lights given out. Bikes uses the residual value method to allocate the transaction price to performance obligations. Required: (a) Assume Bikes Ltd. is a public company using IFRS. Calculate the following balances at Bikes year- ended December 31, 20X9: total revenue, premium expense, premium inventory, and unearned revenue. Clearly indicate whether each balance is a debit or credit. (b) Assume Bikes Ltd. is a private company using ASPE. Calculate the following balances at Bikes year-ended December 31, 20X9: total revenue, premium expense, premium inventory, and estimated liability for premiums. Clearly indicate whether each balance is a debit or credit.

Answers

(a) Calculation of balances at Bikes year-ended December 31, 20X9 using IFRS: Total revenue is the sum of revenue recognized from the sale of bikes and the tune-ups that were done during the year. Tune-ups cost $20 and retail for $50 each. 6000 tune-ups were completed during the year.Revenue recognized from tune-ups = 6000 × $30 = $180,000 Revenue recognized from the sale of bikes is not given in the question. Premium expense is the cost of the bike lights that were given to customers.

It is calculated as follows: 750 bike lights were given to customers. Bike lights cost $10 and retail for $25 each.Premium expense = 750 × $10 = $7,500 Premium inventory is the cost of bike lights that were not given to customers. It is calculated as follows: Total bike lights purchased = 1000 Cost of bike lights purchased = 1000 × $10 = $10,000 Bike lights given to customers = 750

Cost of bike lights given to customers = 750 × $10 = $7,500 Premium inventory = $10,000 - $7,500 = $2,500 Unearned revenue is the amount received from the sale of tune-up services for which services have not yet been rendered. It is calculated as follows:

Tune-up cost = $20 Revenue from each tune-up = $50 Amount received from sale of tune-up services = 6000 × $50 = $300,000 Amount of revenue recognized from tune-ups during the year = $180,000 Unearned revenue = $300,000 - $180,000 = $120,000.

The table below summarizes the balances calculated above. Balance Debit (DR)/ Credit (CR)Total Revenue$180,000 CR Premium expense$7,500 DR Premium inventory$2,500 DR Unearned revenue$120,000 CR(b) Calculation of balances at Bikes year-ended December 31, 20 X9 using ASPE: Total revenue is the sum of revenue recognized from the sale of bikes and the tune-ups that were done during the year.

Tune-ups cost $20 and retail for $50 each.6000 tune-ups were completed during the year. Revenue recognized from tune-ups = 6000 × $30 = $180,000 Revenue recognized from the sale of bikes is not given in the question.Premium expense is the cost of the bike lights that were given to customers. It is calculated as follows:750 bike lights were given to customers. Bike lights cost $10 and retail for $25 each.

Premium expense = 750 × $10 = $7,500 Premium inventory is the cost of bike lights that were not given to customers. It is calculated as follows: Total bike lights purchased = 1000 Cost of bike lights purchased = 1000 × $10 = $10,000 Bike lights given to customers = 750 Cost of bike lights given to customers = 750 × $10 = $7,500 Premium inventory = $10,000 - $7,500 = $2,500

Estimated liability for premiums is the amount that Bikes expects to pay to customers in the future for bike lights that they have earned. It is calculated as follows: Number of bike lights that Bikes expects to pay for = 75% of 750 = 562.5

Estimated liability for premiums = 562.5 × $5 = $2,812.50 The table below summarizes the balances calculated above. Balance Debit (DR)/ Credit (CR)Total Revenue$180,000 CR Premium expense$7,500 DR Premium inventory$2,500 DR Estimated liability for premiums$2,812.50 CR.

For more question on inventory

https://brainly.com/question/26977216

#SPJ8

Name a Time You
Improved a Process at Walmart as a freight handler. What
Happened?

Answers

Time You Improved a Process at Walmart as a freight handler. What As an AI language model, I do not have personal benchmark experiences. The role of a freight handler at Walmart is to unload merchandise from delivery trucks and transport it to the sales floor or the warehouse.

To improve the process of freight handling, one can suggest various measures, including the following:1. Efficient Staffing - To manage the flow of incoming merchandise, it's important to have the appropriate number of workers on staff at all times. The manager should schedule enough workers for the expected shipment.

Volume to ensure that the merchandise gets unloaded and organized on the sales floor efficiently.2. Safety Measures - As Walmart strives for a safe and healthy working environment, it's important to follow established safety protocols. All freight handlers should be provided with safety gear and equipment to minimize the risk of injuries.3. Equipment Maintenance - To ensure the smooth operation of the unloading process, it's important to maintain the equipment that freight handlers use regularly. Regular equipment maintenance will help prevent equipment malfunctions and breakdowns that could cause delays or accidents.

To know more about Benchmark visit:

https://brainly.com/question/28147104

#SPJ11

1. Understanding how shirking decreases team output
Cho sells bottled water from a small stand by the beach. On the last day of summer vacation, many people are on the beach, and Cho realizes that she can make a lot more money this day if she hires someone to walk up and down the beach selling water. She finds a college student named Bob and makes him the following offer: They'll each sell water all day and split their earnings (revenue minus the cost of water) equally at the end of the day. Cho knows that if they both work hard, Bob will earn $110 on the beach and Cho will earn $240 at her stand, so they will each take home half of their total revenue:110 + 240
2
=
175. If Bob shirks, he'll generate only $60 in earnings. Cho does not know that Bob estimates his personal cost (or disutility) of working hard as opposed to shirking at $30.
Once out of Cho's sight, Bob faces a dilemma: work hard (put in full effort) or shirk (put in low effort).
1. In terms of Bob's total utility, it is worse for him to (work hard/shirk).
2. Taking into account the loss in utility that working hard brings to Bob, Cho and Bob together (are not/are) better off if Bob shirks instead of working hard.
3. Cho knows Bob will shirk if unsupervised. She considers hiring her good friend Carrie to keep an eye on Bob. The most Cho should be willing to pay Carrie to supervise Bob, assuming supervision is sufficient to encourage Bob to work hard, is ($55/$20/$30/$25).
4. It turns out that Cho's friend Carrue is unavilable that day, so Cho cannot find a reliable person to watch Bob. Which of the following arrangements will ensure that Bob works hard without making Cho any worse off than she is when Bob shirks?
a. Pay Bob $20, regardless of how many bottles of water he sells
b. Allow Bob to keep 75% of the revenue from the bottles of water he sells instead of 50%
c. Make Bob promise to work hard
d. Allow Bob to keep 57% of the revenue from the bottles of water he sells instead of 50%

Answers

Utility refers to the usefulness or value that something provides in fulfilling a particular purpose or satisfying a need or want. It is a concept commonly used in economics and decision theory to measure the satisfaction or benefit that individuals or society derive from consuming goods or services.

In terms of Bob's total utility, it is worse for him to shirk.

Taking into account the loss in utility that working hard brings to Bob, Cho and Bob together are better off if Bob shirks instead of working hard.

Cho knows Bob will shirk if unsupervised. She considers hiring her good friend Carrie to keep an eye on Bob. The most Cho should be willing to pay Carrie to supervise Bob, assuming supervision is sufficient to encourage Bob to work hard, is $30.

It turns out that Cho's friend Carrie is unavailable that day, so Cho cannot find a reliable person to watch Bob. To ensure that Bob works hard without making Cho any worse off than she is when Bob shirks, the following arrangement can be made:

d. Allow Bob to keep 57% of the revenue from the bottles of water he sells instead of 50%.

To know more about   output .click here:-

https://brainly.com/question/27646651

#SPJ4

Suppose a hospital in a small isolated town has a natural monopoly. With the idea of increasing competition, the city opens a second hospital. a. Both hospitals will have higher average total cost than the first hospital did when it operated alone. b. Both hospitals will have lower average total cost than the first hospital did when it operated alone. Both hospitals will have the same average total cost as the first hospital when it operated alone. d. The new hospital will have higher average total cost than the first hospital did when it operated alone, but the average total cost for the second hospital will be less.

Answers

d. The new hospital will have higher average total cost than the first hospital did when it operated alone, but the average total cost for the second hospital will be less.

When the city opens a second hospital in an isolated town with a natural monopoly, it introduces competition. As a result, both hospitals will experience changes in their average total costs. The new hospital, being a late entrant in the market, may face higher costs initially due to factors such as establishing infrastructure, acquiring resources, and attracting patients. On the other hand, the first hospital, which had operated as a monopoly before, may need to adjust its costs and operations to compete with the new entrant. This adjustment could lead to a reduction in its average total cost.

However, over time, the second hospital may be able to achieve economies of scale and efficiency, resulting in a lower average total cost compared to the first hospital. This is because the presence of competition can drive hospitals to become more cost-effective and improve their operations. Ultimately, the first and second hospitals are likely to have different average total costs, with the second hospital potentially achieving lower costs due to the competitive environment.

To learn more about natural monopoly, here

https://brainly.com/question/1450566

#SPJ4

The Fed can completely counteract an Aggregate Demand shock, but, in the face of an aggregate supply shock, the Fed can either prevent a recession or prevent a permanent price increase but not both.

Answers

The statement "The Fed can completely counteract an Aggregate Demand shock, but, in the face of an aggregate supply shock, the Fed can either prevent a recession or prevent a permanent price increase but not both" is false because the Federal Reserve has tools to address both types of shocks and mitigate their impact on the economy.

In the case of an Aggregate Demand shock, where there is a decrease in consumer spending and investment, the Fed can employ expansionary monetary policy. This involves reducing interest rates and increasing the money supply, which stimulates borrowing and spending, thereby boosting aggregate demand and helping to prevent or mitigate a recession.

Similarly, in the case of an aggregate supply shock, such as a sudden increase in oil prices or a natural disaster affecting production, the Fed can respond by implementing contractionary monetary policy. By increasing interest rates, the Fed can reduce spending and manage inflationary pressures resulting from the supply shock, the statement is false.

To learn more about Demand follow the link:

https://brainly.com/question/32005415

#SPJ4

The complete question is:

The Fed can completely counteract an Aggregate Demand shock, but, in the face of an aggregate supply shock, the Fed can either prevent a recession or prevent a permanent price increase but not both.

True or False

Deepika is a UX engineer at META. Deepika is quite concerned about being late on her assigned tasks and causing a larger project delay (and getting fired). She reaches out to her project manager and asks if there is an opportunity to delay the due date of Deepika's assigned tasks. The project manager advises that she has an extra 18 days to complete the task before the project is impacted negatively. This is an example of a project manager evaluating the ___________ within a project.

Answers

This is an example of a project manager evaluating the critical path within a project.

The project manager evaluates the critical path within a project in the given scenario.

Deepika is a UX engineer at META, and she is concerned about being late on her assigned tasks and causing a more significant project delay and getting fired.

She contacts her project manager and asks if there is a chance to delay the due date of her assigned tasks.

The project manager informs her that she has 18 additional days to complete the task before the project is adversely impacted. It's an example of a project manager evaluating the critical path within a project.

Learn more about the critical path at:

https://brainly.com/question/29761907

#SPJ11

Pick a technological, device, tool, or initiative and discuss how it makes the job of a Sports Communication Director/VP of Marketing easier and more streamlined.

Answers

One of the technological tools that has transformed the world of Sports Communication Director/VP of Marketing and made their jobs easier and more streamlined is social media platforms.

Social media platforms, such as F4c3b00k, Tw1tt3rr, Inst4gr4mm, and L1nk3d1n, have revolutionized the way sports organizations interact with fans, share information, and promote their brands.These tools have made it possible for sports organizations to disseminate information quickly and efficiently, as well as interact with their audience in real-time.

Furthermore, social media has also made it easier for Sports Communication Director/VP of Marketing to track and analyze engagement metrics, enabling them to understand their audience better and adjust their strategies accordingly. They can measure the success of their social media campaigns, and adjust and optimize them for maximum impact.

In conclusion, social media has changed the way Sports Communication Director/VP of Marketing interacts with fans, promotes their brands, and analyzes the success of their marketing efforts. It has made it possible for them to streamline their jobs, reach new audiences, and develop more personalized and effective marketing strategies.

To know more about Social Media Marketing visit:

https://brainly.com/question/32118355

#SPJ11

transaction-based manipulation includes: group of answer choices spoofing cascading both of the above none of the above

Answers

Transaction-based manipulation includes both spoofing and cascading.Option (3)

Spoofing refers to the practice of placing large orders with the intention to cancel them before they are executed, creating a false impression of supply or demand in the market. This tactic aims to manipulate the market price or create misleading signals to other market participants.

Cascading, also known as layering, involves placing a series of orders at different price levels to create the illusion of market activity and influence the market price. Traders engaging in cascading repeatedly modify their orders, taking advantage of price movements caused by their own actions.

Therefore, transaction-based manipulation encompasses both spoofing and cascading techniques. These practices aim to deceive market participants and can have a disruptive effect on market efficiency and fairness.

Learn more about market price

https://brainly.com/question/31964955

#SPJ4

Full Question: transaction-based manipulation includes: group of answer choices

spoofing cascading both of the above none of the above

Bonita Industries produces a product that requires 2.60 pounds of materials per unit. The allowance for waste and spoilage per unit is 0.30 pounds and 0.10 pounds, respectively. The purchase price is $2 per pound, but a 2% discount is usually taken. Freight costs are 50.10 per pound, and receiving and handling costs are $0.07 per pound. The hourly wage rate is $8 per hour, but a raise which will average $0,40 will go into effect soon. Payroll taxes are $0.80 per hour, and employee benefits average $1.60 per hour. Standard production time is 1 hour per unit, and the allowance for rest periods and setup is 0.20 hours and 0.10 hours, respectively. The standard direct labor rate per hour is:____________

Answers

The allowance for waste and spoilage per unit is 0.30 pounds and 0.10 pounds, respectively. The standard production time purchase price is $2 per pound, but a 2% discount is usually taken. As we know that the Standard direct labor rate per hour can be calculated.

Using the formula given below standard direct labor rate per hour

= (Hourly wage rate + Payroll taxes + employee benefits + average raise) / Total number of hours Therefore,Substituting the given values into the above equation, we have;Standard direct labor rate per hour

= ($8 + $0.80 + $1.60 + $0.40) / (1 + 0.20 + 0.10)

= $11 / 1.30

= $8.46 (rounded off to two Payroll taxes are $0.80 per hour, and employee benefits average $1.60 per hour. Standard production time is 1 hour per unit, decimal places)Therefore, the standard direct labor rate per hour is $8.46 (rounded off to two decimal places).

To know more about Standard production time visit:

https://brainly.com/question/32460800

#SPJ11

all activities involved in obtaining and managing raw materials and component parts, managing finished products, packaging them, and getting them to customers are part of

Answers

All activities involved in obtaining and managing raw materials and component parts, managing finished products, packaging them, and getting them to customers are part of supply chain management.

Companies may reduce expenses, increase productivity, and expedite the delivery of goods to clients with the help of effective supply chain management. It entails organizing the numerous tasks required to manufacture and deliver goods and services to clients of a firm.

Many firms consider supply chain management to be a crucial component, and good supply chain management needs careful managing, coordination, and execution.

Learn more about on supply chain management, here:

https://brainly.com/question/32699066

#SPJ4

Your pro forma income statement shows sales of $983,000, cost of goods sold as $513,000, depreciation expense of $104,000, and taxes of $146,400 due to a tax rate of 40%. What are your pro forma earnings? What is your pro forma free cash flow?

Answers

Pro forma earnings: $219,600

Pro forma free cash flow: -$30,800.

What are the pro forma earnings and free cash flow?

Pro forma earnings can be calculated by subtracting the cost of goods sold and depreciation expense from the sales and subtracting the taxes from the result. Pro forma free cash flow can be calculated by subtracting the taxes and depreciation expense from the earnings.

The Pro forma earnings is equals to:

= Sales - Cost of goods sold - Depreciation expense - Taxes

= $983,000 - $513,000 - $104,000 - $146,400

= $219,600

The Pro forma free cash flow is equals to:

= Earnings - Taxes - Depreciation expense

= $219,600 - $146,400 - $104,000

= -$30,800.

Read more about Pro forma

brainly.com/question/13126457

#SPJ4

Question 1 McDonald's, a big burger joint, is charging $6 for its very famous Big Mac hamburger and selling around 20 million Big Mac in a year in Australia. a. Suppose McDonald's increases the price of its Big Mac to $6.50. Consequently, quantity sold of the Big Mac falls to 17 million. How much revenue will McDonald's gain? What can you infer about the price elasticity of demand (PED) for McDonald's Big Mac? Assume in an alternative scenario, the increase in the price of Big Mac to $ 6.5 reduces its quantity sold to 19 million. How much revenue will McDonald's gain now? What can you conclude about the PED now? (4 Marks)

Answers

MCDonald's Revenue Before Price Increase Revenue = Price x Quantity Revenue Before Price Increase = $6 x 20 million Revenue Before Price Increase = $120 million McDonald's Revenue After Price Increase Revenue = Price x Quantity Revenue After Price Increase = $6.50 x 17 million Revenue.

After Price Increase = $110.5 million Gain in Revenue = Revenue After Price Increase – Revenue Before Price Increase Gain in Revenue = $110.5 million – $120 million Gain in Revenue = – $9.5 million Gain in Revenue is negative, which means there is an Inelastic demand for Big Mac. Even if the prices of Big Mac increased by 8.3%, McDonald's will lose $9.5 million in revenue. McDonald's Revenue After Price Increase Revenue = Price x Quantity Revenue After Price Increase = $6.50 x 19 million.

Revenue After Price Increase = $123.5 million Gain in Revenue = Revenue After Price Increase – Revenue Before Price Increase Gain in Revenue = $123.5 million – $120 million Gain in Revenue = $3.5 million Gain in Revenue is positive, which means there is an Elastic demand for Big Mac. If the prices of Big Mac increased by 8.3%, McDonald's will gain $3.5 million in revenue. The increase in price will make the customers look for alternatives, so McDonald's will have to work on other alternatives to satisfy its customers. This was a long answer that has more than 100 words, with explanations of all the calculations and inferences.

To know more about Revenue visit:

https://brainly.com/question/14952769

#SPJ11

Calculate the Variances :
Standard Actual
Material Cost Per Yard $2.00 $2.10
Standard Yards per Unit 4.5 yards 4.75 yards
Units of Production 9,500
1. Calculate the Total Direct Materials cost variance using the above information:
a. $9,262.50 Unfavorable
b. $9,262.50 Favorable
c. $3,780.00 Unfavorable
d. $3,562.50 Favorable

Answers

The Variances Standard Actual Material Cost Per Yard $2.00 $2.10 is measured as $ 9262.50 unfavorable. Option A is correct.

Actual direct materials cost  = 4.75 × 9500 ×2.1  

                                                 = 94762.5

Less: Budgeted direct materials cost =4.5 × 9500 ×2

                                                        =   85500

Total direct materials cost variance =  $ 9262.50   (unfavorable)

By comparing actual results to expected results over time, variance analysis enables businesses to identify performance trends. This assists organizations with recognizing any regions where they are performing great or regions where they need to get to the next level.

Change is a factual estimation used to decide how far each number is from the mean and from each and every other number in the set. You can ascertain the fluctuation by taking the contrast between each point and the mean.

A statistical measure of the spread between numbers in a data set is referred to as variance. More specifically, variance measures how far apart each number in the set is from the mean (average) and, as a result, from each other.

Learn more about Variance:

brainly.com/question/29765393

#SPJ4

apter 2 Aurework- Connect Homework i Saved For each of the following statements, indicate whether it is true, false, or uncertain. a. A cost is something used up to produce revenues in a particular ac

Answers

a.)The given statement "a. A cost is something used up to produce revenues in a particular accounting period." is true because  A cost is an expense incurred by a business to generate revenues.

b.) The given statement is " Variable costs are direct costs; only fixed costs are indirect costs." is false because  Variable costs and fixed costs are both types of costs, and they can be either direct or indirect.

c.) The given statement is "The cost of direct materials is fixed per unit but variable in total." is true because it changes in proportion to the level of production or the number of units produced

a. The statement is true. A cost is an expense incurred by a business to generate revenues. It represents resources or services consumed in the process of producing goods or providing services. Costs can be directly associated with a specific accounting period, such as the cost of raw materials used in production or the wages paid to employees for their work during that period.

b. The statement is false. Variable costs and fixed costs are both types of costs, and they can be either direct or indirect. Direct costs are those that can be easily traced to a specific product or service, while indirect costs are not directly associated with a particular product or service.

Both variable costs and fixed costs can be direct or indirect, depending on their relationship to the specific product or service being analyzed.

c. The statement is true. The cost of direct materials is generally considered a variable cost in total because it changes in proportion to the level of production or the number of units produced. As more units are produced, more direct materials are required, resulting in an increase in the total cost of direct materials.

However, the cost of direct materials per unit may remain fixed or relatively stable, assuming there are no significant changes in the cost of materials.

For example, if it takes one pound of material to produce one unit of a product and the cost of that pound of material remains constant, the cost of direct materials per unit will be fixed. However, as the number of units produced increases, the total cost of direct materials will vary.

For more question on Variable visit:

https://brainly.com/question/27993463

#SPJ11

Note the complete question is

For each of the following statements, indicate whether it is true, false, or uncertain.

a. A cost is something used up to produce revenues in a particular accounting period.

b. Variable costs are direct costs; only fixed costs are indirect costs.

c.The cost of direct materials is fixed per unit but variable in total.

Ulmer Company borrowed $6,000 on March 1, 2019 from the Meramec Bank. The note issued by Ulmer carried a one-year term and a 6% annual interest rate. Ulmer earned cash revenue of $800 in 2019 and $600 in 2020. Assume no other transactions. Ulmer's year end is December 31. The amount of net income on the 2020 year-end financial statements would be a. $600 O b. $360 C. $60 O d. $540

Answers

The amount of net income on the 2020 year-end financial statements would be $240. None of the given option is correct.

To determine the amount of net income on the 2020 year-end financial statements for Ulmer Company, we need to calculate the interest expense for the loan and subtract it from the cash revenue earned in 2020.

Ulmer borrowed $6,000 on March 1, 2019, with a one-year term and a 6% annual interest rate. Therefore, the interest expense for 2020 can be calculated as:

Interest expense = Principal amount x Interest rate = $6,000 x 6% = $360

Ulmer earned cash revenue of $600 in 2020. To calculate the net income, we subtract the interest expense from the cash revenue:

Net income = Cash revenue - Interest expense = $600 - $360 = $240

Based on these calculations, the correct answer is not provided in the given options. The amount of net income on the 2020 year-end financial statements for Ulmer Company would be $240.

For more such questions on year-end financial statements

https://brainly.com/question/13248779

#SPJ11

Please help with requirement 2
and 3
Forber Bakery makes baked goods for grocery stores, and has three divisions: bread, cake, and doughnuts. Each division is run and evaluated separately, but the main headquarters incurs costs that are

Answers

We can see here that: -Bread division operating income = $4,700,000

-Cake division operating income = -$400,000

-Doughnuts division operating income = $4,450,000.

What is operating income?

Operating income, also known as operating profit or operating earnings, is a measure of a company's profitability from its core operations before considering interest income or expenses, taxes, and non-operating items.

Here are the steps on how to allocate the indirect costs of Forber to each division equally:

The total indirect costs to be allocated:

Total indirect costs = $1,900,000 + $1,400,000 + $1,200,000 + $600,000 = $5,100,000

The total indirect costs by the number of divisions:

Number of divisions = 3

Per-division indirect cost allocation = $5,100,000 / 3 = $1,700,000

The indirect costs to each division:

Bread division indirect cost allocation = $1,700,000

Cake division indirect cost allocation = $1,700,000

Doughnuts division indirect cost allocation = $1,700,000

The division operating incomes after allocation of headquarter costs:

Bread division operating income = $6,400,000 - $1,700,000 = $4,700,000

Cake division operating income = $1,300,000 - $1,700,000 = -$400,000

Doughnuts division operating income = $6,150,000 - $1,700,000 = $4,450,000

As you can see, the bread and doughnuts divisions are profitable after allocation of headquarter costs, while the cake division is not. This is because the cake division has a lower number of employees and a smaller amount of square footage than the other two divisions.

Learn more about operating income on

https://brainly.com/question/30400720

#SPJ4

The complete question is:

Forber Bakery makes baked goods for grocery stores and has three divisions: bread, cake, and doughnuts. Each division is run and evaluated separately, but the main headquarters incurs costs that are indirect costs for the divisions. Costs incurred in the main headquarters are as follows:

Human resources (HR) costs $1,900,000

Accounting department costs 1,400,000

Rent and depreciation 1,200,000

Other 600,000

Total costs $5,100,000                                                                                                                                                                                                                                                     The Forber upper management currently allocates this cost to the divisions equally. One of the division managers has done some research on activity-based costing and proposes the use of different allocation bases for the different indirect costs—number of employees for HR costs, total revenues for accounting department costs, square feet of space for rent and depreciation costs, and equal allocation among the divisions of “other” costs. Information about the three divisions follows:

                                   Bread                Cake         Doughnuts

Total revenues       $20,900,000      $4,500,000       $13,400,000  

Direct costs            14,500,000           3,200,000         7,250,000

Segment margin      $6,400,000          $1,300,000     $6,150,000

# of employees:                 400                     100               300

Sq.feet of space:                10,000                  4,000           6,000      

                                                                                                                                     Allocate the indirect costs of Forber to each division equally. Calculate division operating income after allocation of headquarter costs.

A foreign exchange trader with a U.S. bank took a short position of £6,606,544 when the $/£ exchange rate was 1.47. Subsequently, the exchange rate has changed to 1.67. Compute the profit or loss of the short position.

Answers

The profit of the short position is $1,322,363.8.

We need to calculate the profit or loss of a short position in foreign exchange. A short position is taken when the trader expects the value of the currency to decrease. Given data: Short position = £6,606,544Exchange rate at the time of taking the short position = 1.47Exchange rate at the time of selling the currency = 1.67We will use these values to calculate the profit or loss of the short position. Here is the solution: Value of short position in USD = £6,606,544 x 1.47 = $9,713,154.68Value of short position in USD after exchange rate change = £6,606,544 x 1.67 = $11,035,518.48Profit/Loss = Selling Price - Buying Price= $11,035,518.48 - $9,713,154.68= $1,322,363.8Therefore, the profit of the short position is $1,322,363.8.

Learn more about short position here:

https://brainly.com/question/28518069

#SPJ11

A company manufactures and sells racing bicycles to specialty retailers. The Bomber model sells for $610 and has per-unit variable costs of $305 associated with its production. The company has fixed e

Answers

A company manufactures and sells racing bicycles to specialty retailers. The Bomber model is one of its most popular products, with a selling price of $610 and a per-unit variable cost of $305. The company also incurs fixed expenses of $120,000 per month for rent, salaries, utilities and other overhead costs. To break even, the company needs to sell enough units of the Bomber model to cover both its variable and fixed costs. The break-even point can be calculated by dividing the fixed costs by the contribution margin per unit, which is the difference between the selling price and the variable cost. The contribution margin per unit for the Bomber model is $610 - $305 = $305. Therefore, the break-even point in units is $120,000 / $305 = 393.44. This means that the company needs to sell at least 394 units of the Bomber model per month to avoid losses.

About The Break Event Point

Break Even Point is called the break even point is the stage where revenue equals operating costs. In this situation, the company neither gains nor suffers a loss.

Learn More About Break Event Point at https://brainly.com/question/15281855

#SPJ11

Suppose U(x,y)= min (x+y,2x). Px=1, Py=4 and m-4. What is the optimal consumption of x in equilibrium? (A) 0 (B) 1 (C) 0.8 (D) 4

Answers

The optimal consumption of x in equilibrium is (C) 0.8.

To determine the optimal consumption of good x in equilibrium, we need to compare the marginal utilities per dollar spent on x and y. The marginal utility of x is given by the derivative of the utility function U(x, y) with respect to x. In this case, U(x, y) = min(x + y, 2x), so the marginal utility of x is 1 if x + y < 2x, and it is 2 if x + y ≥ 2x.

To find the optimal consumption, we equate the marginal utility per dollar spent on x to the price ratio Px/Py. In this case, Px = 1 and Py = 4. Since the marginal utility of x is 1, the optimal consumption of x occurs when 1/1 = 1/4, which gives us x = 0.8.

Therefore, the correct answer is option C) 0.8, which represents the optimal consumption of good x in equilibrium.

You can learn more about equilibrium at

https://brainly.com/question/517289

#SPJ11

Suppose Indian government borrows 50,000/- more next year than this year.

Use a supply-and-demand diagram to analyze this policy. Does the interest rate rise or fall?

Answers

In a supply-and-demand diagram, the interest rate is determined by the equilibrium point where the demand for and supply of funds intersect.

When the Indian government borrows an additional 50,000/- next year compared to this year, it increases the demand for funds.

This shift in demand curve to the right will likely lead to an increase in the equilibrium interest rate.

As the government borrows more, it competes with other borrowers for available funds, driving up the price (interest rate) at which lenders are willing to lend.

This is because lenders seek to maximize their return on investment and require a higher interest rate to compensate for the increased risk associated with lending to a higher volume of borrowers.

Therefore, in this scenario, the interest rate is expected to rise as the government's borrowing increases.

For more such questions on diagram

https://brainly.com/question/29366081

#SPJ11

mr. lopez deposits $k in an account paying 4 nnual effective dis- count. the balance at the end of three years is $982. find k.

Answers

The amount deposited by Mr. Lopez is $873.

Given that, Mr. Lopez deposits $k in an account paying 4% annual effective discount. The balance at the end of three years is $982. We have to find k.

Solution: Since we are given effective discount rate, we can apply the formula of present value for single payment.

PV = FV / (1 + r)n

Here, PV is present value, FV is future value r is discount rate n is number of years

Putting the given values, we get, k = 982 / (1 + 0.04)3  

[Using the formula for present value]k = 982 / 1.125k = 872.88 ≈ $873

Therefore, the amount deposited by Mr. Lopez is $873.

To know more about future value visit:

https://brainly.com/question/30787954

#SPJ11


EXPLAIN ALL YOU KNOW ABOUT PRIVATE EQUITY (VENTURE CAPITAL AND
ANGEL INVESTMENTS).

Answers

Private equity refers to investments made in privately held companies that are not publicly traded on stock exchanges. It involves providing capital to companies in exchange for ownership stakes or equity in those companies. Private equity investors typically seek higher returns compared to traditional investment options like stocks or bonds. Venture capital and angel investments are two important subsets of private equity, focusing on specific stages of company development.

Venture capital (VC) is a type of private equity that specifically targets early-stage companies with high growth potential. Venture capital firms invest in startups and small businesses that have innovative ideas, disruptive technologies, or scalable business models. VC investors provide not only financial support but also mentorship, guidance, and industry connections to help the companies succeed. In return for their investment, venture capitalists receive equity in the company and often become actively involved in strategic decision-making.

Angel investments, on the other hand, refer to investments made by individual high net worth individuals, known as angel investors, into early-stage companies. Angel investors are typically successful entrepreneurs or industry professionals who provide not only capital but also their expertise and networks to support the growth of startups. Angel investments are usually made in the form of equity financing, where the angel investor receives an ownership stake in the company.

Both venture capital and angel investments play crucial roles in fostering innovation, driving economic growth, and supporting entrepreneurial ecosystems. They provide funding to startups and small businesses that may not have access to traditional sources of capital, such as bank loans or public markets. Moreover, venture capitalists and angel investors often contribute industry-specific knowledge, experience, and mentorship, helping entrepreneurs navigate challenges and accelerate their growth.

While venture capital and angel investments share similarities, there are some differences between the two. Venture capital firms typically manage pooled funds from institutional investors, such as pension funds, endowments, or corporations. They invest larger amounts of capital and focus on more mature startups or companies that have already demonstrated some market traction. Angel investors, on the other hand, invest their own personal wealth and have more flexibility in terms of investment criteria and decision-making. They are often more willing to take early-stage and higher-risk bets on promising but unproven ventures.

In summary, private equity encompasses various forms of investments in privately held companies. Venture capital and angel investments are two important components of the private equity landscape, targeting early-stage and high-growth companies. These investment vehicles provide not only financial capital but also expertise, mentorship, and industry connections to support the growth and success of innovative startups and small businesses.

To know more about Capital visit-

brainly.com/question/29946431

#SPJ11

smithco employees believe the company fairly applies its policies and strives to live up to its stated values. it is accurate to say that smithco has a(n)
a. ethnocentric culture. b. positive diversity climate. c. holistic wellness program. d. employee assistance program.

Answers

Option b is correct. Smithco employees believe the company fairly applies its policies and strives to live up to its stated values. it is accurate to say that smithco has positive diversity climate.

A positive diversity climate refers to an organizational culture and environment that values and promotes diversity, equity, and inclusion. It creates a sense of fairness and equality among employees, regardless of their background or characteristics. In the given scenario, the employees of SmithCo believe that the company fairly applies its policies and strives to live up to its stated values, indicating a positive diversity climate.

Option a. ethnocentric culture refers to a culture that favors or prioritizes the norms, values, and perspectives of a particular ethnic or cultural group. This option is not applicable based on the given information.

Option c. holistic wellness program refers to a comprehensive program that focuses on the overall well-being of employees, including physical, mental, and emotional health. This option is not applicable based on the given information.

Option d. employee assistance program (EAP) is a program that provides support and resources to employees facing personal or work-related challenges. This option is not applicable based on the given information.

In conclusion, based on the information provided, it can be inferred that SmithCo has a positive diversity climate as its employees perceive the company to fairly apply policies and uphold its stated values, indicating an inclusive and equitable work environment.

To know more about policies , visit

https://brainly.com/question/1658845

#SPJ11

PLEASEEE ANSWER all
Solve various time value of money scenarios. (Click the icon to view the scenarios.) (Click the icon to view the present value of $1 table.) (Click the icon to view the future value of $1 table.) (Cli

Answers

Daniel's $70,000 jackpot will be worth $675,240.52 in 20 years.

How much will Daniel's $70,000 jackpot be worth in 20 years?

Future value refers to value of a current asset at a future date based on an assumed rate of growth.  To get future value of an investment compounded annually, we can use the formula: [tex]Future Value = Present Value × (1 + Interest Rate)^{Time}[/tex]

Given:

Present Value (P) = $70,000

Interest Rate (r) = 12% = 0.12

Time (t) = 20 years

Plugging values:

Future Value = $70,000 × (1 + 0.12)^20

Future Value = $70,000 × 1.12^20

Future Value = $675 240.517

Future Value = $675,240.52.

Full question:

Solve various time value of money scenarios. (Click the icon to view the scenarios.) (Click the icon to view the present value of $1 table.) (Click the icon to view the future value of $1 table.) (Click)

Scenario 1. Daniel just hit the jackpot in Las Vegas and won $70,000! If he invests it now at a 12% interest rate, how much will it be worth in 20 years?

Read more about value of money

brainly.com/question/28391474

#SPJ4

approximate cos0.02 to five decimal-place accuracy using the maclaurin series for cosx and check your work by comparing your answer to the function value produced directly by your calculating utility.

Answers

Approximating cos(0.02) using the Maclaurin series for cos(x) and rounding to five decimal places, we get an approximate value of 0.99980. Comparing this with the actual function value produced by a calculating utility, we can verify the accuracy of our approximation.

The Maclaurin series expansion for cos(x) is given by:

cos(x) = 1 - (x^2/2!) + (x^4/4!) - (x^6/6!) + ...

To approximate cos(0.02), we substitute x = 0.02 into the series expansion. Truncating the series after the desired accuracy, we calculate the value of the approximation.

Using the first few terms of the series expansion:

cos(0.02) ≈ 1 - (0.02^2/2!) ≈ 1 - (0.0002/2) ≈ 1 - 0.0001 ≈ 0.9999

Rounding this value to five decimal places, we get approximately 0.99980.

To verify our approximation, we can compare it to the function value produced directly by a calculating utility. By evaluating cos(0.02) using a reliable calculator or computer software, we can compare the actual value to our approximation and check for accuracy.

Note: The actual function value produced by a calculating utility may vary slightly depending on the software or calculator used, but it should be very close to our approximation of 0.99980.

Learn more about accuracy here:

brainly.com/question/24171524

#SPJ11

The International Accounting Standards Board (IASB) works to formulate financial accounting standards for the purpose of O Promoting worldwide acceptance and achieve greater convergence of financial reporting regulations, standards and procedures across countries. O Creating more work in financial statement preparation To provide more information in the financial statements O To help prevent fraud and insider trading

Answers

The International Accounting Standards Board (IASB) formulates financial accounting standards to promote worldwide acceptance, convergence of financial reporting regulations, and enhance transparency in financial statements.

By formulating and establishing International Financial Reporting Standards (IFRS), the IASB seeks to create a common framework that facilitates consistent and high-quality financial reporting. This allows investors, analysts, and stakeholders to make informed decisions based on reliable and comparable financial information from companies operating in different jurisdictions.

Through the development of global accounting standards, the IASB aims to reduce disparities in financial reporting practices, making it easier for multinational companies to prepare and present their financial statements in compliance with consistent rules. This convergence helps to eliminate barriers to international trade and investment by increasing transparency and facilitating cross-border financial analysis.

Furthermore, the IASB's efforts in setting accounting standards contribute to improving the integrity and reliability of financial statements. By establishing robust rules and guidelines, it helps prevent fraud and insider trading by promoting accurate and transparent financial reporting practices. These standards serve as a foundation for maintaining ethical behavior and trust in financial markets worldwide.

In summary, the primary purpose of the IASB is to promote worldwide acceptance and convergence of financial reporting standards, which in turn enhances transparency, comparability, and reliability in financial statements. This supports international trade and investment while helping to prevent fraud and insider trading through consistent and trustworthy financial reporting practices.

Know more about Insider Trading here:

https://brainly.com/question/31667342

#SPJ11

Which index or fund is equal-weighted?

A.QQQ
B.All of these indexes are equal-weighted
C.SPX
D.SPW
E.DJI

Answers

The fund or index that is equal-weighted among the given options is D. SPW. What is the SPW index? The S&P 500 Equal Weight Index, abbreviated as SPW, is a variation of the S&P 500 that weights each company equally.

This strategy differs from the S&P 500, which is a market-cap-weighted index that assigns more weight to larger firms. Because each company has an equivalent weight in the index, the equal-weight index is less likely to be influenced by the stock price movements of large corporations. What are the advantages of SPW index? Because SPW equally weights each company in the index, it may deliver a diverse portfolio that is more sensitive to the smaller firms in the index, rather than merely the largest.

The equal-weight approach can provide higher exposure to mid-cap and small-cap equities in the index, which can have greater growth potential over time. In addition, the equal-weight index avoids the focus on mega-cap firms seen in the market-cap-weighted S&P 500 and may provide a more balanced risk profile in the portfolio. Thus, SPW allows investors to track the performance of the broad US market with a portfolio that is weighted equally across the entire index.

To know more about Weight Index refer to:

https://brainly.com/question/31596861

#SPJ11

Calculate the organization's total cost for the following scenario:


The organization has signed a cost-plus-incentive-fee contract.
The sharing formula is 90/10 (90 percent by buyer).
The seller estimate of allowable expenses is $150,000.
The target fee is set at $10,000.
The maximum fee is $19,750.
The minimum fee is $5,000.

1) Calculate the result if the project is completed by the seller at a cost of $146,000. Fill in the following blanks - just type the numbers with no decimal values without labels, dollar signs, commas, etc.

Seller paid = [Blank#1]
Seller profit = [Blank#2]
2) Calculate the result if the project is completed by the seller at a cost of $190,000. Fill in the following blanks - just type the numbers with no decimal values without labels, dollar signs, commas, etc.

Seller paid = [Blank#3]
Seller profit = [Blank#4]
BLANK 1:

BLANK 2:

BLANK 3:

BLANK 4:

Answers

For a project cost of $146,000, the organization would pay the seller $146,400 and the seller's profit would be $400.

To calculate the organization's total cost for the given scenario, we need to consider the cost-plus-incentive-fee contract and the provided information.

If the project is completed by the seller at a cost of $146,000:

According to the cost-plus-incentive-fee contract, the sharing formula is 90/10, which means the buyer pays 90% and the seller receives 10% of the allowable expenses as the fee.

The seller's estimate of allowable expenses is $150,000, and the target fee is $10,000. The minimum fee is $5,000, and the maximum fee is $19,750.

To calculate the result:

Seller paid = Cost + (Sharing Ratio * (Allowable Expenses - Cost))

Seller paid = $146,000 + (0.1 * ($150,000 - $146,000))

Seller paid = $146,000 + (0.1 * $4,000)

Seller paid = $146,000 + $400

Seller paid = $146,400

Seller profit = Seller paid - Cost

Seller profit = $146,400 - $146,000

Seller profit = $400

BLANK 1: 146,400

BLANK 2: 400

If the project is completed by the seller at a cost of $190,000:

Using the same formula as above:

Seller paid = Cost + (Sharing Ratio * (Allowable Expenses - Cost))

Seller paid = $190,000 + (0.1 * ($150,000 - $190,000))

Seller paid = $190,000 + (0.1 * -$40,000)

Seller paid = $190,000 - $4,000

Seller paid = $186,000

Seller profit = Seller paid - Cost

Seller profit = $186,000 - $190,000

Seller profit = -$4,000

BLANK 3: 186,000

BLANK 4: -4,000.

For more such questions on organization visit:

https://brainly.com/question/25922351

#SPJ11

Your international business development team is exploring ways to bundle two or more of your service offerings. Make up a company and discuss how you would go about bundling and provide rationales for your choice.

Answers

In order to bundle two or more service offerings, the international business development team will strategize by identifying complementary services, creating attractive pricing packages, and marketing the bundled offerings effectively.

When bundling services, it is important to consider the synergy between the offerings and how they can enhance customer value. The team will analyze the company's service portfolio and identify services that are complementary to each other. For example, if the fictional company is in the IT industry, they may consider bundling software development and cloud hosting services.

Once the services are identified, the team will develop pricing packages that offer cost savings or added benefits to customers. This can include discounted pricing compared to purchasing the services individually or offering additional features or support as part of the bundle. The pricing strategy should aim to provide a compelling value proposition to customers.

To effectively market the bundled offerings, the team will focus on highlighting the convenience and value customers can gain from the bundle. They will create targeted marketing campaigns that emphasize the benefits of the bundled services and showcase real-world examples of how the bundled offerings have solved customer challenges or improved efficiency.

By carefully selecting complementary services, creating attractive pricing packages, and implementing effective marketing strategies, the fictional company can successfully bundle their service offerings and provide customers with comprehensive and valuable solutions.

You can learn more about business development at

https://brainly.com/question/30395479

#SPJ11

Other Questions
true/false. one consequence of the paradox of voting is that whoever sets the agenda of a vote could practically predetermine the results of the vote. A charge of -2.50nC is placed at the origin of an xy-coordinate system, and a charge of 2.05nC is placed on the y axis at y = 3.80cm . If a third charge of 5.00nC, is placed at the point x=3.10cm, y=3.80cm find the x and y components of the total force exerted on the charge by two other charges. use the values log 48 1.68 and log 3 0.48 to find the approximate value of log 48 what is the degree of the polynomial x6+9?? You have been late in repaying a prior credit purchase with one of your suppliers and asked them to accept your promissory note for 54,000. That supplier agreed to an interest rate of 6.5% and a repayment period of 6 months. How much will you owe this supplier at the end of that period? Consider the Normal Form Game characterized in the following figure: P1 \ P2 b1 b2 ib3 a1 (1,2) (0,1) (0,3) a2 (3,-1) (1,1) (-1,0) a3 (2,2) (1,-1) (3,0) a4 (-5,1) (-1,0) (-3,-2) a5 (-3,3) (3,0) (2,4) Match each of the Seven Tools of Quality Control to the appropriate description for each. 1. A tool used to organize and present process problems from most to least severe 2. A tool used to sequence the movements or actions of people or things involved in a complex system or activity > 3. A tool used to aid in brainstorming and isolating the causes of a problem > 4. A tool used to graph how a process changes over time < 5. A tool to graphical display data grouped into ranges > 6. A tool used to identify the frequency of occurrence for each identified problem > 7. A tool used to plot the values of two variables along two axes in order to reveal any correlation present > Given an independent variable xy and a binary dependent variable y (y could be either black or white). The y values for data points A, B, C, D, E, F, G, H, and I are known and shown in the following figure. The value of y for the new data point is unknown and to be determined. ABC DE FGH I 000 new data point X1 Suppose that you are using k-nearest neighbours (with k=5) and applying the majority rule to classify the new data point, should the classification be black or white? (A) A garment store sells 500 shirts each month. Each shirt costs Rs 1,000 and the store has an annual holding cost of 25 percent. The fixed cost of a replenishment order is Rs 1,200. The store currently places a replenishment order every month for 500 shirts. a) What is the annual holding and ordering cost? (b) On average, how long does a jacket spend in inventory? (c) If the store wants to minimize ordering and holding cost, what should be order size? Show all calculations. (B) Identify the major factors that affect cycle inventory and that affect Safety inventory. 1 pts Question 4. When we face hardships, high levels of uncertainty, and intense demands, we often think we might not be able to handle it all well. This is an example of O Role conflict O Anxiety O Which of the following represents a form of communication through financial reporting but not through financial statements? OA. Statement of Cash Flows. OB. Statement of financial position. O C. Management Forecasts. O D. Notes to financial statements. name three companies who claim they support doing business in an ethical and moral way - not using sweat shops or damaging the environment Smithson, Inc. manufactures lead crystal glasses. The standard direct labor time is 0.4 hour per glass, at a cost of $18 per hour. The actual results for one month's production of 6,900 glasses were 0 if two groups of patients with fever are given either (a) a drug or (b) a placebo, and the temperatures of the patients are used as the measure of how well the drug did, then Suppose the random variables X and Y have joint pdf as follows: f(x, y) = 15xy^2, 0 < y < x < 1 Find the marginal pdf f_1 (x) of X. Find the conditional pdf f_2(y | x). Find P(Y > 1/3 | X = x) for any 1/3 < x.< 1 Are X and Y independent? What tonicity term applies to the solution surrounding this cell? For this exercise s=1+the fourth digit of your student number. A research laboratory announces the discovery of a new refreshment. Immediately the public expresses a (linear) demand for the new product. There are two firms which have capacity to produce quantities 91, 92 of the new product with constant marginal costs c, c2 respectively, where c2 = C + 4 x s. You observe that before firms start to produce (i.e., q1 = 92 = 0) the market clears at p 160 s. When supplies arrive at the market you observe that the equilib- rium price and quantity settle at p = 60 s and Q = 200 s respectively. = (i) Suppose that you consider investing in firm 1 by financing half of its production cost in exchange for half of its venue. Compute the profit that firm 1 would retain after paying you off. (ii) Alternatively you consider investing in this market and discover that, at a fixed cost F 70000, you can buy a technology to produce the new product with constant marginal costs c = 60. Explain and justify whether or not you would invest in this market. = (iii) Explain whether or not the manager of firm 1 would rather accept your offer in (i), or decline it and let you proceed with your alternative in (ii). Classify the following non-identity isometries of R. If the isometry is not unique, justify all possibilities. (a) Let f be an isometry, without fixed points, given by a reflection followed by a glide reflection. (b) Let g be an isometry that fixes two points, g(P) = P and g(Q) = Q. (c) Let h be the composition of three reflections, h = Fc Fy Fa. Suppose that the distinct lines a, b, c are concurrent (i.e., have a common point). (d) Now, suppose a || b and cla. Classify the isometry h. Justify. Q1. What do you mean by Ethics? Being the citizen of Oman, identify the unethical practices followed by Omani and on-Oman residents [such as theft ,cheating in the balance and other actions that expartriates do]? Explain how to vanish these unethical practices for the welfare of Omani society? (7 marks) One entity that may be used by a sales associate for registration with the dbpr isGroup of answer choices:A) a cooperative associationB) a limited partnershipC) a limited liability companyD) a director of a brokerage firm