Determine the amount of sales units that would be necessary

Determine the amount of sales (units) that would be necessary under

Break-Even Sales Under Present and Proposed Conditions

Darby Company, operating at full capacity, sold 113,400 units at a price of $126 per unit during the current year. Its income statement for the current year is as follows:

Sales

$14,288,400

Cost of goods sold

7,056,000

Gross profit

$7,232,400

Expenses:

Selling expenses

$3,528,000

Administrative expenses

3,528,000

Total expenses

7,056,000

Income from operations

$176,400

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

Variable

Fixed

Cost of goods sold

70%

30%

Selling expenses

75%

25%

Administrative expenses

50%

50%

Management is considering a plant expansion program that will permit an increase of $1,260,000 in yearly sales. The expansion will increase fixed costs by $126,000, but will not affect the relationship between sales and variable costs.

Required:

1. Determine the total variable costs and the total fixed costs for the current year. Enter the final answers rounded to the nearest dollar.

Total variable costs

$

Total fixed costs

$

2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year. Enter the final answers rounded to two decimal places.

Unit variable cost

$

Unit contribution margin

$

3. Compute the break-even sales (units) for the current year. Enter the final answers rounded to the nearest whole number.
units

4. Compute the break-even sales (units) under the proposed program for the following year. Enter the final answers rounded to the nearest whole number.
units

5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $176,400 of income from operations that was earned in the current year. Enter the final answers rounded to the nearest whole number.
units

6. Determine the maximum income from operations possible with the expanded plant. Enter the final answer rounded to the nearest dollar.
$

7. If the proposal is accepted and sales remain at the current level, what will the income or loss from operations be for the following year? Enter the final answer rounded to the nearest dollar.
$  

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

In favor of the proposal because of the reduction in break-even point.

In favor of the proposal because of the possibility of increasing income from operations.

In favor of the proposal because of the increase in break-even point.

Reject the proposal because if future sales remain at the current level, the income from operations will increase.

Reject the proposal because the sales necessary to maintain the current income from operations would be below the current year sales.

Choose the correct answer.

Sales			$14,288,400
Cost of goods sold			7,056,000
Gross profit			$7,232,400
Expenses:
Selling expenses	$3,528,000
Administrative expenses	3,528,000
Total expenses			7,056,000
Income from operations			$176,400

Solution

1)

2)Unit variable cost =Total variable cost /Number of units

             = 9349200/113400

            = $ 82.44 per unit

Contribution margin per unit = price -variable cost

          = 126- 82.44

          = $ 43.56 per unit

3)BEP(unit) =Fixed cost/ contribution per unit

   = 6526800/43.56

       = 149835units

4)Fixed cost (new) =6526800+126000 = 6652800

BEP (units)= 6652800/43.56

            = 152728 units

	Variable	Fixed
cost of goods sold	4939200     [7056000*.70]	2116800     [7056000*.30]
selling expense	2646000     [3528000*.75]	882000
Administrative expense	1764000     [3528000*.50]	3528000
Total	9349200	6526800