Question

In: Accounting

Currently, the unit selling price of a product is $310, the unit variable cost is $250, and the total fixed costs are $918,000.

 

Currently, the unit selling price of a product is $310, the unit variable cost is $250, and the total fixed costs are $918,000. A proposal is being evaluated to increase the unit selling price to $340.

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 and all costs remain constant.
units

Break-Even Sales and Sales to Realize Income from Operations

For the current year ended October 31, Friedman Company expects fixed costs of $340,000, a unit variable cost of $40, and a unit selling price of $60.

a. Compute the anticipated break-even sales (units).
units

b. Compute the sales (units) required to realize income from operations of $78,000.
units

Contribution Margin and Contribution Margin Ratio

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

Sales $18,400
Food and packaging $4,808
Payroll 4,600
Occupancy (rent, depreciation, etc.) 5,742
General, selling, and administrative expenses 2,700
  $17,850
Income from operations $550

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

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

b. What is McDonald's contribution margin ratio?
%

c. How much would income from operations increase if same-store sales increased by $1,100 million for the coming year, with no change in the contribution margin ratio or fixed costs? Round your answer to the closest million.
$ million

a. Young Company budgets sales of $1,120,000, fixed costs of $50,400, and variable costs of $224,000. What is the contribution margin ratio for Young Company? (Enter your answer as a whole number.)
%

b. If the contribution margin ratio for Martinez Company is 45%, sales were $555,000, and fixed costs were $199,800, what is the income from operations?

Solutions

Expert Solution

(a) (b)
Existing Proposed
Selling Price p.u. $              310 340
Less: Variable Cost p.u. $            (250) $            (250)
Contribution p.u. $               60 $               90
Fixed Cost $       918,000 $       918,000
BEP = Fixed Costs / Contribution p.u.             15,300             10,200
Particulars Result
Selling Price p.u. $               60
Less: Variable Cost p.u. $              (40)
Contribution p.u. $               20
Fixed Cost $      340,000
BEP = Fixed Costs / Contribution p.u. (a)             17,000
Desired Profit $        78,000
Therefore Desired Contribution = Fixed Costs + Desired Profits $       418,000
No. of units to be sold => Desired Contribution / Contribution p.u. (b)            20,900
Particulars Result (in millions)
Sales $         18,400
Less: Variable Costs
    Food and Packaging $         (4,804)
    Payroll $         (4,600)
    Variable General, Selling and Administration OH => $2,700 x 40% $          (1,080)
Total Variable Costs $        (10,484)
Contribution Margin (a) $            7,916
Contribution Margin Ratio (b) => Contribution Margin / Sales 43%

(c)

Particulars Result (in millions)
Revised Sales $         19,500
(x) Contribution Margin Ratio 43%
Contribution Margin $           8,389
Less: Fixed Costs
    Occupancy $          (5,742)
    General, Selling and Administration OH => 2,700 - 1080 $          (1,620)
Net operating income $            1,027
Less: Previous Net operating income $            (550)
Increase in Operating Income $              477
Young Company
Particulars Amount
Sales $     1,120,000
Less: Variable Costs $     (224,000)
Contribution Margin $      896,000
Contribution Margin Ratio => Contribution Margin / Sales                      1
Martinez Company
Sales $       555,000
(x) Contribution Margin ratio 45%
Contribution Margin $       249,750
Less: Fixed Costs $      (199,800)
Income from Operations $         49,950

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