Contribution Margin and Contribution Margin Ratio
For a recent year, Wicker Company-owned restaurants had the following sales and expenses (in millions):
Sales | $30,100 |
Food and packaging | $11,409 |
Payroll | 7,600 |
Occupancy (rent, depreciation, etc.) | 5,791 |
General, selling, and administrative expenses | 4,400 |
$29,200 | |
Income from operations | $900 |
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 $1,800 million for the
coming year, with no change in the contribution margin ratio or
fixed costs? Round your answer to the closest million.
$ million
Part 2
Currently, the unit selling price of a product is $240, the unit variable cost is $200, and the total fixed costs are $364,000. A proposal is being evaluated to increase the unit selling price to $270.
a. Compute the current break-even sales
(units).
units
b. Compute the anticipated break-even sales
(units), assuming that the unit selling price is increased to the
proposed $270, and all costs remain constant.
units
All the amounts are in million :
a. Total variable cost = Food and packaging + Payroll + 40% of the general, selling and administrative expenses = $11,409 + $7,600 + ( 40% * $4,400 ) = $20,769
Contribution margin = Sales - Total variable cost = $30,100 - $20,769 = $9,331
b. Contribution margin ratio = Contribution margin / Sales = $9,331 / $30,100 = 31%
c. As there is no change in the contribution margin ratio or fixed costs the increase in income from operations will calculated as follows :
Increase in income from operations = Increase in sales * Contribution margin ratio = $1,800 * 31% = $558
Part 2 :
a. Current break even sales (Units) = Total fixed cost / ( selling price - unit variable cost ) = $364,000 / ( $240 - $200 ) = 9,100 units
b. Anticipated break even sales (Units) = Total fixed cost / ( proposed selling price - unit variable cost ) = $364,000 / ( $270 - $200 ) = 5,200 units
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