Question
1. Break-Even Sales Under Present and Proposed Conditions Darby Company, operating at full capacity, sold 148,400 units at a price of $48 per unit during
1. Break-Even Sales Under Present and Proposed Conditions
Darby Company, operating at full capacity, sold 148,400 units at a price of $48 per unit during the current year. Its income statement is as follows:
Sales | $7,123,200 | ||
Cost of goods sold | 2,528,000 | ||
Gross profit | $4,595,200 | ||
Expenses: | |||
Selling expenses | $1,264,000 | ||
Administrative expenses | 752,000 | ||
Total expenses | 2,016,000 | ||
Income from operations | $2,579,200 |
The division of costs between variable and fixed is as follows:
Variable | Fixed | |||
Cost of goods sold | 60% | 40% | ||
Selling expenses | 50% | 50% | ||
Administrative expenses | 30% | 70% |
Management is considering a plant expansion program for the following year that will permit an increase of $576,000 in yearly sales. The expansion will increase fixed costs by $76,800, but will not affect the relationship between sales and variable costs.
Required:
- Determine the total variable costs and the total fixed costs for the current year.
Total variable costs | $fill in the blank 1 |
Total fixed costs | $fill in the blank 2 |
- Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.
Unit variable cost | $fill in the blank 3 |
Unit contribution margin | $fill in the blank 4 |
- Compute the break-even sales (units) for the current year. fill in the blank 5 units
- Compute the break-even sales (units) under the proposed program for the following year. fill in the blank 6 units
- Determine the amount of sales (units) that would be necessary under the proposed program to realize the $2,579,200 of income from operations that was earned in the current year. fill in the blank 7 units
- Determine the maximum income from operations possible with the expanded plant. $fill in the blank 8
- 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
IncomeLoss
- 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.
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