In: Accounting
1.
Contribution Margin and Contribution Margin Ratio
For a recent year, Wicker Company-owned restaurants had the following sales and expenses (in millions):
Sales | $32,100 |
Food and packaging | $8,317 |
Payroll | 8,100 |
Occupancy (rent, depreciation, etc.) | 10,023 |
General, selling, and administrative expenses | 4,700 |
$31,140 | |
Income from operations | $960 |
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 $1,900 million for the
coming year, with no change in the contribution margin ratio or
fixed costs? Round your answer to the closest million.
$ million
2.
Break-Even Sales and Sales to Realize Income from Operations
For the current year ending October 31, Yentling Company expects fixed costs of $533,200, a unit variable cost of $64, and a unit selling price of $95.
a. Compute the anticipated break-even sales
(units).
units
b. Compute the sales (units) required to
realize income from operations of $124,000.
units
3.
Break-Even Sales
Currently, the unit selling price of a product is $240, the unit variable cost is $200, and the total fixed costs are $476,000. 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
4.
Sales Mix and Break-Even Sales
Dragon Sports Inc. manufactures and sells two products, baseball bats and baseball gloves. The fixed costs are $836,000, and the sales mix is 30% bats and 70% gloves. The unit selling price and the unit variable cost for each product are as follows:
Products | Unit Selling Price | Unit Variable Cost | ||
Bats | $70 | $50 | ||
Gloves | 180 | 110 |
a. Compute the break-even sales (units) for
both products combined.
units
b. How many units of each product, baseball bats and baseball gloves, would be sold at break-even point?
Baseball bats | units |
Baseball gloves | units |
Question 1
Part A
Contribution margin = sales - variable cost
= 32100 - (8317+8100+(40%*4700)) = $13803
Part B
Contribution margin ratio = contribution margin / sales = 13803/32100 = 43%
Part C
Increase in income from operations = $1,900*43% = $817 million
Question 2
Contribution margin = selling price per unit - variable cost per unit = 95-64 =31
Part A
break-even sales (units) = fixed cost / contribution margin Per unit = 533200/31 = 17200 units
Part B
Desired sales = (fixed cost + net operating income) / contribution margin Per unit = (533200+124000)/31 = 21200 units
Question 3
Part A
current break-even sales (units) = fixed cost / contribution margin Per unit
Contribution margin Per unit = selling price per unit - variable cost per unit = 240-200 = 40
Current break even sales (units) = 476000/40 = 119000 units
Part B
anticipated break-even sales (units) = 476000/(270-200) = 476000/70 = 6800 units
Question 4
Part A
Average contribution margin = (250-160)/2 = 45
break-even sales (units) for both products combined = 836000/45 = 18578
Part B
Baseball bats = 18578*30% = 5573 units
Baseball gloves = 18578*70% = 13005 units