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Due to erratic sales of its sole product—a high-capacity battery for laptop comp

ID: 2418018 • Letter: D

Question

Due to erratic sales of its sole product—a high-capacity battery for laptop computers—PEM, Inc., has been experiencing difficulty for some time. The company’s contribution format income statement for the most recent month is given below:

  

  

Compute the company’s:

CM ratio = 40%

break-even point in unit sales = 14,500

Break-even point in dollar sales = 580,000

  

The president believes that a $6,100 increase in the monthly advertising budget, combined with an intensified effort by the sales staff, will result in an $84,000 increase in monthly sales. If the president is right, what will be the effect on the company’s monthly net operating income or loss? (Use the incremental approach in preparing your answer.)

  

  

Refer to the original data. The sales manager is convinced that a 10% reduction in the selling price, combined with an increase of $38,000 in the monthly advertising budget, will double unit sales. What will the new contribution format income statement look like if these changes are adopted?

Sales:

Variable Expenses:

Contribution Margin

Fixed Expenses

Net Income or Loss

  

Refer to the original data. The Marketing Department thinks that a fancy new package for the laptop computer battery would help sales. The new package would increase packaging costs by $0.50 cents per unit. Assuming no other changes, how many units would have to be sold each month to earn a profit of $4,100? (Do not round intermediate calculations and round your final answer to the nearest whole number.)

  

  

Refer to the original data. By automating, the company could reduce variable expenses in half. However, fixed expenses would increase by $52,000 each month.

  

Compute the new CM ratio and the new break-even point in both unit sales and dollar sales. (Use the CM ratio to calculate your break-even point in dollars. Round your final answers to the nearest whole number.)

CM Ratio

Break-even Point in units

Break-even Point in dollars

  

Assume that the company expects to sell 20,000 units next month. Prepare two contribution format income statements, one assuming that operations are not automated and one assuming that they are.

  

$

$

$

$

Would you recommend that the company automate its operations?

Due to erratic sales of its sole product—a high-capacity battery for laptop computers—PEM, Inc., has been experiencing difficulty for some time. The company’s contribution format income statement for the most recent month is given below:

Explanation / Answer

1.

Contribution margin ratio = contribution margin/ sales*100

= 208000 / 520000 *100

= 40%

Break even sales in units = fixed cost/ contribution margin per unit(in$)

= 232000 / 16

= 14500

Break-even point in dollar sales = fixed cost / contribution margin ratio

=232000 / 0.40

=$580000

2.

Original cost

Incremental cost

  Sales (13,000 units × $40 per unit)

$

520,000   

$84000

  Variable expenses

312,000   

50400

  Contribution margin

208,000   

33600

  Fixed expenses

232,000   

6100

  Net operating income / (loss)

$

(24,000)

27500

3.

Sales (26,000 units × $36 per unit)

$ 936000

Variable expenses

561600

Contribution margin

374400

Fixed expenses

270000

Net operating income / (loss)

104400

4.

Net operating income / (loss)

4100

Fixed expenses

232000

Contribution margin

236100

Sales units = 236100/ (16-.50)

= 15232.26

5

Sales (13,000 units × $40 per unit)

$ 520000

Variable expenses

156000

Contribution margin

364000

Fixed expenses

284000

Net operating income / (loss)

80000

Contribution margin ratio = contribution margin/ sales*100

= 364000 / 520000 *100

= 70%

Break even sales in units = fixed cost/ contribution margin per unit(in$)

= 284000 / 28

= 10142.86

Break-even point in dollar sales = fixed cost / contribution margin ratio

=284000 / 0.70

=$405714

Original cost

Incremental cost

  Sales (13,000 units × $40 per unit)

$

520,000   

$84000

  Variable expenses

312,000   

50400

  Contribution margin

208,000   

33600

  Fixed expenses

232,000   

6100

  Net operating income / (loss)

$

(24,000)

27500

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