Question

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 118,800 units at a price of $69 per unit during the current year. Its income statement for the current year is as follows:

Sales			$8,197,200
Cost of goods sold			4,048,000
Gross profit			$4,149,200
Expenses:
Selling expenses	$2,024,000
Administrative expenses	2,024,000
Total expenses			4,048,000
Income from operations			$101,200

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 $690,000 in yearly sales. The expansion will increase fixed costs by $69,000, 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 $101,200 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?

1. In favor of the proposal because of the reduction in break-even point.
2. In favor of the proposal because of the possibility of increasing income from operations.
3. In favor of the proposal because of the increase in break-even point.
4. Reject the proposal because if future sales remain at the current level, the income from operations will increase.
5. 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.

Answer 1

Answer : I have given answer for 4 sub part of question.

1.Computation of total variable cost and Fixed cost

Total variable cost	$ 5363600
Total Fixed cost	$ 2732400

Working note - 1

	(a)	Variable %(b)	Variable cost (a)*(b)	Fixed cost % (c)	Fixed cost (a)*(c)
Cost of goods sold	$ 4048000	70%	$ 2833600	30 %	$ 1214400
Selling expenses	$ 2024000	75 %	$ 1518000	25 %	$ 506000
Administrative Expenses	$ 2024000	50 %	$ 1012000	50 %	$ 1012000
Total	$ 8096000		$ 5363600		$ 2732400

2. Computation of unit variable cost and contribution margin

Unit variable cost	$ 45.15
Unit Contribution margin	$ 23.85

Working note - 2

Unit variable cost = Total variable cost / sales unit

=  $ 5363600 / 118800

= $ 45.15

Unit contribution margin = Sales per unit - variable cost per unit

= $ 69 - $ 45.15 = $ 23.85

3. Computation of break-even sales (units) for the current year

Break even sales unit

114566 unit

Working note - 3

Break even sales unit = Total Fixed cost / contribution per unit

= $ 2732400 / $ 23.85 = 114566 unit

4.

Computation of break-even sales (units) under proposed program

Break even sales unit

117459 unit

Working note - 4

New fixed cost = $ 2732400 + $ 69000

= $ 2801400

Break even sales unit = Total Fixed cost / contribution per unit

= $ 2801400 / $ 23.85 = 117459 unit