Determine the amount of sales (units) that would be necessary under Break-Even S

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 112,050 units at a price of $129 per unit during the current year. Its income statement for the current year is as follows:

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

Management is considering a plant expansion program that will permit an increase of $1,161,000 in yearly sales. The expansion will increase fixed costs by $116,100, 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.

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.

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 $178,450 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.
$ income or loss

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 $14,454,450 Cost of goods sold 7,138,000 Gross profit $7,316,450 Expenses: Selling expenses $3,569,000 Administrative expenses 3,569,000 Total expenses 7,138,000 Income from operations $178,450

Explanation / Answer

1) Calculation of Total Variable and total Fixed Cost :-

2) Variable Cost per unit :-

= Total Variable Cost / No. of units Sales

= $9457850 / 112050

= $84.41 per unit

Contribution Margin per unit = Sales price per unit - Variable Cost per unit

= $129 - $84.41

= $44.59

Contribution Margin in % = Contribution per unit / Sales price per unit

= $44.59 / $129

= 34.57%

3) Break even point (in units) :-

= Total Fixed Cost / Contribution per unit

= $4818150 / $44.59

= 108055 units

4) New Fixed Cost = $4818150 + $116100

= $4934250

New Break even point (in units) :-

= New Fixed Cost / Contribution per unit

= $4934250 / $44.59

= 110658 units

Particulars Variable Cost Fixed Cost Cost of Good Sold(7 : 3) $4996600 $2141400 Selling Expenses(3 : 1) $2676750 $892250 Administrative Expenses(1:1) $1784500 $1784500 Total $9457850 $4818150

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