Break-Even Sales Under Present and Proposed Conditions

Darby Company, operating at full capacity, sold 169,200 units at a price of $78 per unit during the current year. Its income statement is as follows:

Sales $13,197,600Cost of goods sold 4,680,000Gross profit $8,517,600Expenses: Selling expenses$2,340,000 Administrative expenses1,404,000 Total expenses 3,744,000Income from operations $4,773,600

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

VariableFixedCost of goods sold60% 40% Selling expenses50% 50% Administrative expenses30% 70%

Management is considering a plant expansion program for the following year that will permit an increase of $1,092,000 in yearly sales. The expansion will increase fixed costs by $145,600, 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.

Total variable costs$fill in the blank 1Total fixed costs$fill in the blank 2

2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.

Unit variable cost$fill in the blank 3Unit contribution margin$fill in the blank 4

3. Compute the break-even sales (units) for the current year. fill in the blank 5 units

4. Compute the break-even sales (units) under the proposed program for the following year. fill in the blank 6 units

5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $4,773,600 of income from operations that was earned in the current year. fill in the blank 7 units

6. Determine the maximum income from operations possible with the expanded plant. $fill in the blank 8

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? $fill in the blank 9

IncomeLossIncome

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.

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