Determine the relevant range of activity


Question 1: Kozy Enterprises is considering manufacturing a new product. It projects the cost of direct materials and rent for a range of output as shown below.

 

Output
in Units

Rent
Expense

Direct
Materials

 

1,000

 

$5,000

 

$4,000

 

 

2,000

 

5,000

 

6,000

 

 

3,000

 

5,000

 

7,800

 

 

4,000

 

7,000

 

8,000

 

 

5,000

 

7,000

 

10,000

 

 

6,000

 

7,000

 

12,000

 

 

7,000

 

7,000

 

14,000

 

 

8,000

 

7,000

 

16,000

 

 

9,000

 

7,000

 

18,000

 

 

10,000

 

10,000

 

23,000

 

 

11,000

 

10,000

 

28,000

 

 

12,000

 

10,000

 

36,000

 

Determine the relevant range of activity for this product.

Calculate the variable cost per unit within the relevant range.

Indicate the fixed cost within the relevant range.

Question 2: Mozena Corporation manufactures a single product. Monthly production costs incurred in the manufacturing process are shown below for the production of 3,000 units. The utilities and maintenance costs are mixed costs.The fixed portions of these costs are $300 and $200, respectively.

 

Production in Units

3,000

 

Production Costs

 

 

Direct Materials

$7,500

 

Direct labor

15,000

 

Utilities

1,800

 

Property taxes

1,000

 

Indirect labor

4,500

 

Supervisory salaries

1,800

 

Maintenance

1,100

 

Depreciation

2,400


Identify the above costs as variable, fixed, or mixed. Put an "X" in the column which applies and  the letter "O" if it does not.  

                                 Fixed    Variable    Mixed
Direct Materials     
Direct labor     
Utilities     
Property taxes     
Indirect labor     
Supervisory salaries     
Maintenance     
Depreciation     
 
Calculate the expected costs when production is 5,000 units.

Question 3: Airport Connection provides shuttle service between four hotels near a medical center and an international airport. Airport Connection uses two 10 passenger vans to offer 12 round trips per day. A recent month's activity in the form of a cost-volume-profit income statement is shown below.

Fare revenues (1,440 fares)

 

$36,000

Variable costs 

 

 

    Fuel

$5,040

 

    Tolls and Parking

3,100

 

    Maintenance

500

8,640

Contribution margin

 

27,360

Fixed costs

 

 

    Salaries

 13,000

 

    Depreciation

1,300

 

    Insurance

1,128

15,428

Net income

 

$11,932


Calculate the break-even point in (1) dollars and (2) number of fares.

Without calculations, determine the contribution margin at the break-even point.

Question 4: Moran Company reports the following operating results for the month of August: Sales $350,000 (units 5,000); variable costs $210,000; and fixed costs $90,000. Management is considering the following independent courses of action to increase net income.

1. Increase selling price by 10% with no change in total variable costs.
2. Reduce variable costs to 55% of sales.

Compute the net income to be earned under each alternative.

Which course of action will produce the highest net income?

Question 5: Utech Company bottles and distributes Livit, a diet soft drink. The beverage is sold for 50 cents per 16-ounce bottle to retailers, who charge customers 75 cents per bottle. For the year 2008, management estimates the following revenues and costs.

Net sales

$1,800,000

 

Selling expenses-variable

$70,000

Direct materials

430,000

 

Selling expenses-fixed

65,000

Direct labor

352,000

 

Administrative expenses-variable

20,000

Manufacturing overhead-variable

316,000

 

Administrative expenses-fixed

60,000

Manufacturing overhead-fixed

283,000

 

 

 

Prepare a CVP income statement for 2008 based on management's estimates.

Compute the break-even point in (1) units and (2) dollars.

Compute the contribution margin ratio and the margin of safety ratio.

Determine the sales dollars required to earn net income of $238,000.

Question 6: Alice Shoemaker is the advertising manager for Value Shoe Store. She is currently working on a major promotional campaign. Her ideas include the installation of a new lighting system and increased display space that will add $34,000 in fixed costs to the $270,000 currently spent. In addition, Alice is proposing that a 5% price decrease ($40 to $38) will produce a 20% increase in sales volume (20,000 to 24,000). Variable costs will remain at $22 per pair of shoes. Management is impressed with Alice's ideas but concerned about the effects that these changes will have on the break-even point and the margin of safety.

Compute the current break-even point in units, and compare it to the break-even point in units if Alice's ideas are used.

Compute the margin of safety ratio for current operations and after Alice's changes are introduced.

Prepare a CVP income statement for current operations and after Alice's changes are introduced.

                                       VALUE SHOE STORE
                                     CVP Income Statement
                                     Current                 New
Sales  
Variable expenses     
Contribution margin     
Fixed expenses     
Net income   

Would you make the changes suggested?

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Accounting Basics: Determine the relevant range of activity
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