Question: Determining fixed cost per unit

For each total fixed cost listed below, determine the fixed cost per unit when sales are 50, 100, and 200 units.

Store rent $ 5,000

Manager’s salary 3,000

Equipment lease 500

Depreciation on fixtures 250

Short Answer

Expert verified

Answer

The fixed cost per unit for 50 units is $175 per unit, for 100 units is $87.5, for 200 units is $43.75

Step by step solution

01

Calculation of total fixed cost

Particulars

Amount

Store rent

$5000

Manager’s salary

$3000

Equipment lease

$500

Depreciation on fixtures

$250

Total fixed cost

$8,750

02

Calculation of fixed cost per unit           

50

100

200

Total fixed cost

$8,750

$8,750

$8,750

÷ No. of units sold

50

100

20

Fixed cost per unit

$175

$87.5

$43.75

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Most popular questions from this chapter

The Jacksonville Shirt Company makes two types of T-shirts: basic and custom. Basic shirts are plain shirts without any screen printing on them. Custom shirts are created using the basic shirts and then adding a custom screen printing design.

The company buys cloth in various colors and then makes the basic shirts in two departments, Cutting and Sewing. The company uses a process costing system (weighted-average method) to determine the production cost of the basic shirts. In the Cutting Department, direct materials (cloth) are added at the beginning of the process and conversion costs are added evenly through the process. In the Sewing Department, no direct materials are added. The only additional material, thread, is considered an indirect material because it cannot be easily traced to the finished product. Conversion costs are added evenly throughout the process in the Sewing Department. The finished basic shirts are sold to retail stores or are sent to the Custom Design Department for custom screen printing.

The Custom Design Department creates custom shirts by adding screen printing to the basic shirt. The department creates a design based on the customer’s request and then prints the design using up to four colors. Because these shirts have the custom printing added, which is unique for each order, the additional cost incurred is determined using job order costing, with each custom order considered a separate job.

For March 2018, the Jacksonville Shirt Company compiled the following data for the Cutting and Sewing Departments:

Department Item Amount Units

Cutting Beginning balance \( 0 0 shirts

Started in March 1,200 shirts

Direct materials added in March 1,920

Conversion costs 1,320

Completed and transferred to Sewing ??? 1,200 shirts

Ending balance 0 0 shirts

Sewing Beginning balance, transferred in, \)1,350;

conversion costs, \(650 \) 2,000 500 shirts

Transferred in from Cutting ??? ???

Conversion costs added in March 1,196

Completed and transferred to Finished Goods ??? 1,000 shirts

Ending balance, 60% complete ??? ???

For the same time period, the Jacksonville Shirt Company compiled the following data for the Custom Design Department:

Job Quantity Design Fee Printing Status

367 400 Yes 3 colors Complete

368 150 No 2 colors Complete

369 100 Yes 5 colors Complete

370 500 Yes 4 colors Complete

The Jacksonville Shirt Company has previously determined that creating and programming the design cost \(80 per design. This is a one-time charge. If a customer places another order with the same design, the customer is not charged a second time. Additionally, the cost to print is \)0.20 per color per shirt.

Requirements

1. Complete a production cost report for the Cutting Department and the Sewing Department. What is the cost of one basic shirt?

2. Determine the total cost and the average cost per shirt for jobs 367, 368, 369, and 370. If the company set the sales price at 200% of the total cost, determine the total sales price of each job.

3. In addition to the custom jobs, the Jacksonville Shirt Company sold 1,000 basic shirts (assume the beginning balance in Finished Goods Inventory is sufficient to make these sales, and the unit cost of the basic shirts in Finished Goods Inventory is the same as the unit cost incurred this month). If the company set the sales price at 125% of the cost, determine the sales price per unit, total sales revenue, total cost of goods sold, and total gross profit for the basic shirts.

4. Calculate the total revenue, total cost of goods sold, and total gross profit for all sales, basic and custom.

5. Assume the company sold only basic shirts (no custom designs) and incurred fixed costs of \(700 per month.

a. Calculate the contribution margin per unit, contribution margin ratio, required sales in units to break even, and required sales in dollars to break even.

b. Determine the margin of safety in units and dollars.

c. Graph Jacksonville Shirt Company’s CVP relationships. Show the breakeven point, the sales revenue line, the fixed cost line, the total cost line, the operating loss area, and the operating income area.

d. Suppose the Jacksonville Shirt Company wants to earn an operating income of \)1,000 per month. Compute the required sales in units and dollars to achieve this profit goal.

6. The Jacksonville Shirt Company is considering adding a new product line, a cloth shopping bag with custom screen printing that will be sold to grocery stores. If the current market price of cloth shopping bags is \(2.25 and the company desires a net profit of 60%, what is the target cost? The company estimates the full product cost of the cloth bags will be \)0.80. Should the company manufacture the cloth bags? Why or why not?

You have just begun your summer internship at Omni Instruments. The company supplies sterilized surgical instruments for physicians. To expand sales, Omni is considering paying a commission to its sales force. The controller, Matthew Barnhill, asks you to compute: (1) the new breakeven sales figure, and (2) the operating profit if sales increase 15% under the new sales commission plan. He thinks you can handle this task because you learned CVP analysis in your accounting class.

You spend the next day collecting information from the accounting records, performing the analysis, and writing a memo to explain the results. The company president is pleased with your memo. You report that the new sales commission plan will lead to a significant increase in operating income and only a small increase in breakeven sales.

The following week, you realize that you made an error in the CVP analysis. You overlooked the sales personnel’s $2,800 monthly salaries, and you did not include this fixed selling cost in your computations. You are not sure what to do. If you tell Matthew Barnhill of your mistake, he will have to tell the president. In this case, you are afraid Omni might not offer you permanent employment after your internship.

Requirements

1. How would your error affect breakeven sales and operating income under the proposed sales commission plan? Could this cause the president to reject the sales commission proposal?

2. Consider your ethical responsibilities. Is there a difference between (a) initially making an error and (b) subsequently failing to inform the controller?

3. Suppose you tell Matthew Barnhill of the error in your analysis. Why might the consequences not be as bad as you fear? Should Barnhill take any responsibility for your error? What could Barnhill have done differently?

4. After considering all the factors, should you inform Barnhill or simply keep quiet?

A chain of convenience stores has one manager per store who is paid a monthly salary. Relative to Store #36 located in Atlanta, Georgia, is the manager’s salary fixed or variable? Why?

Use the following information to complete Short Exercises S20-10 through S20-15.

Funday Park competes with Cool World by providing a variety of rides. Funday Park sells tickets at \(70 per person as a one-day entrance fee. Variable costs are \)42 per person, and fixed costs are \(170,800 per month.

Refer to the original information (ignoring the changes considered in Short Exercise S20-12). Suppose Funday Park increases fixed costs from \)170,800 per month to $231,000 per month. Compute the new breakeven point in tickets and in sales dollars.

What is a fixed cost? Give an example.

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