Question
1) Rotelco is one of the largest digital wireless service providers in the United States. In a recent year, it had approximately 100 million direct
1)
Rotelco is one of the largest digital wireless service providers in the United States. In a recent year, it had approximately 100 million direct subscribers (accounts) that generated revenue of $46,300 million. Costs and expenses for the year were as follows:
Cost of revenue | $20,800 |
Selling, general, and administrative expenses | 14,800 |
Depreciation | 5,100 |
Assume that 70% of the cost of revenue and 30% of the selling, general, and administrative expenses are variable to the number of direct subscribers (accounts).
a. What is Rotelco's break-even number of accounts, using the data and assumptions above? Round to the nearest whole number. million accounts
b. How much revenue per account would be sufficient for Rotelco to break even if the number of accounts remained constant? Round to the nearest dollar. $ million per account
2)
Darby Company, operating at full capacity, sold 86,400 units at a price of $102 per unit during the current year. Its income statement for the current year is as follows:
Sales | $8,812,800 | ||
Cost of goods sold | 4,352,000 | ||
Gross profit | $4,460,800 | ||
Expenses: | |||
Selling expenses | $2,176,000 | ||
Administrative expenses | 2,176,000 | ||
Total expenses | 4,352,000 | ||
Income from operations | $108,800 |
The division of costs between fixed and variable is as follows:
Variable | Fixed | |||
Cost of goods sold | 70% | 30% | ||
Selling expenses | 75% | 25% | ||
Administrative expenses | 50% | 50% |
Management is considering a plant expansion program that will permit an increase of $714,000 in yearly sales. The expansion will increase fixed costs by $71,400, but will not affect the relationship between sales and variable costs.
Required:
a. Determine the total variable costs and the total fixed costs for the current year. Enter the final answers rounded to the nearest dollar.
Total variable costs | $ |
Total fixed costs | $ |
b. 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.
Unit variable cost | $ |
Unit contribution margin | $ |
c. Compute the break-even sales (units) for the current year. Enter the final answers rounded to the nearest whole number. units
d. Compute the break-even sales (units) under the proposed program. Enter the final answers rounded to the nearest whole number. units
e. Determine the amount of sales (units) that would be necessary under the proposed program to realize the $108,800 of income from operations that was earned in the current year. Enter the final answers rounded to the nearest whole number. units
f. Determine the maximum income from operations possible with the expanded plant. Enter the final answer rounded to the nearest dollar. $
g. 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. $
h. 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.
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