Question
1. Darby Company, operating at full capacity, sold 97,700 units at a price of $87 per unit during the current year. Its income statement is
1.
Darby Company, operating at full capacity, sold 97,700 units at a price of $87 per unit during the current year. Its income statement is as follows:
Sales | $8,499,900 | ||
Cost of goods sold | 3,016,000 | ||
Gross profit | $5,483,900 | ||
Expenses: | |||
Selling expenses | $1,508,000 | ||
Administrative expenses | 899,000 | ||
Total expenses | 2,407,000 | ||
Income from operations | $3,076,900 |
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 $783,000 in yearly sales. The expansion will increase fixed costs by $104,400, 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 $3,076,900 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? $ _________ Income/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. ________
2.
Data related to the expected sales of laptops and tablets for Tech Products Inc. for the current year, which is typical of recent years, are as follows:
Products | Unit Selling Price | Unit Variable Cost | Sales Mix | |||
Laptops | $190 | $130 | 20% | |||
Tablets | 430 | 200 | 80% |
The estimated fixed costs for the current year are $552,720.
Required:
1. Determine the estimated units of sales of the overall (total) product, E, necessary to reach the break-even point for the current year. ____________units
2. Based on the break-even sales (units) in part (1), determine the unit sales of both laptops and tablets for the current year.
Laptops: | ____________units |
Tablets: | _____________ units |
3. Assume that the sales mix was 80% laptops and 20% tablets. Determine the estimated units of sales of the overall product necessary to reach the break-even point for the current year. ______________ units
Thanks!
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