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Break-Even Sales Under Present and Proposed Conditions Darby Company, operating at full capacity, sold 174,900 units at a price of $90 per unit during the

  1. Break-Even Sales Under Present and Proposed Conditions

    Darby Company, operating at full capacity, sold 174,900 units at a price of $90 per unit during the current year. Its income statement is as follows:

    Sales $15,741,000
    Cost of goods sold 5,580,000
    Gross profit $10,161,000
    Expenses:
    Selling expenses $2,790,000
    Administrative expenses 1,680,000
    Total expenses 4,470,000
    Income from operations $5,691,000

    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 $1,440,000 in yearly sales. The expansion will increase fixed costs by $192,000, 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 $5,691,000 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

2.

Contribution Margin and Contribution Margin Ratio

For a recent year, Wicker Company-owned restaurants had the following sales and expenses (in millions):

Sales $34,600
Food and packaging $10,406
Payroll 8,700
Occupancy (rent, depreciation, etc.) 9,454
General, selling, and administrative expenses 5,000
$33,560
Income from operations $1,040

Assume that the variable costs consist of food and packaging, payroll, and 40% of the general, selling, and administrative expenses.

a. What is Wicker Company's contribution margin? Round to the nearest million. (Give answer in millions of dollars.) $ million

b. What is Wicker Company's contribution margin ratio? Round to one decimal place. %

c. How much would income from operations increase if same-store sales increased by $2,100 million for the coming year, with no change in the contribution margin ratio or fixed costs? Round your answer to the closest million. $ million

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