Determine the amount of sales

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Problem - Break-even sales under present and proposed conditions

Armstrong Company, operating at full capacity, sold 80,000 units at a price of $124 per unit during 2012. Its income statement for 2012 is as follows:

Sales


$9,920,000

Cost of goods sold


5,000,000

Gross profit


$4,920,000

Expenses:



Selling expenses

$2,600,000


Administrative expenses

1,220,000


Total expenses


3,820,000

Income from operations


$1,100,000

The division of costs between fixed and variable is as follows:

 

Fixed

Variable

Cost of goods sold

25%

75%

Selling expenses

40%

60%

Administrative expenses  

50%

50%

Management is considering a plant expansion program that will permit an increase of $2,480,000 in yearly sales. The expansion will increase fixed costs by $272,000, but will not affect the relationship between sales and variable costs.

Instructions -

1. Determine for 2012 the total fixed costs and the total variable costs.

2. Determine for 2012 (a) the unit variable cost (b) the unit contribution margin.

3. Compute the break-even sales (units) for 2012.

4. Compute the break-even sales (units) under the proposed program.

5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $1,100,000 of income from operations that was earned in 2012.

6. Determine the maximum income from operations possible with the expanded plant.

7. If the proposal is accepted and sales remain at the 2012 level, what will the income or loss from operations be for 2013?

8. Based on the data given, would you recommend accepting the proposal? Explain.

Reference no: EM132685763

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