Break-Even Sales Under Present and Proposed Conditions
Darby Company, operating at full capacity, sold 118,500 units at a price of $45 per unit during the current year. Its income statement is as follows:
Sales | | | $5,332,500 |
Cost of goods sold | | | 1,890,000 |
Gross profit | | | $3,442,500 |
Expenses: | | | |
Selling expenses | $945,000 | | |
Administrative expenses | 570,000 | | |
Total expenses | | | 1,515,000 |
Income from operations | | | $1,927,500 |
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 $405,000 in yearly sales. The expansion will increase fixed costs by $54,000, 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.
Total variable costs | $ |
Total fixed costs | $ |
2. Determine (a) the unit variable cost and (b) the unit contribution margin for the current year.
Unit variable cost | $ |
Unit contribution margin | $ |
3. Compute the break-even sales (units) for the current year. units
4. Compute the break-even sales (units) under the proposed program for the following year. units
5. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $1,927,500 of income from operations that was earned in the current year. units
6. Determine the maximum income from operations possible with the expanded plant. $
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? $
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.