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i Data Table The budgets of four companies yield the following information: (Click the icon to view the budget information fo

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Answer #1

Answer 1

Q R S T
Target Sales 687500 415625 162500 900000
Less: Variable Expenses 192500 149625 32500 270000
Contribution Margin 495000 266000 130000 630000
Less: Fixed Expense

405000

160000 81000 497000
Operating Income / (Loss) 90000 106000 49000 133000
Units sold 75000 118750 15625 18000
Contribution Margin per unit 6.6 2.24 8.32 35
Contribution margin ratio 0.72 0.64 0.8 0.7

1) Calculations for P:

a) Fixed Expenses = Contribution margin - Operating Income = $495000 - $405000 = $90000

b) Units sold = Contribution margin / Contribution margin per unit = $495000 / $6.6 = 75000 units

c) Contribution margin ratio = Contribution / Sales = $495000 / $687500 = 0.72

2) Calculations for R:

a) Contribution margin ratio = 0.64 = Contribution margin / Sales

Contribution margin = 0.64 x $415625 = $266000

b) Variable Expenses = Sales - Contribution = $415625 - $266000 = $149625

c) Net operating Income = Contribution margin - Fixed Costs = $266000 - $160000 = $106000

d) Contribution margin per unit = Contribution margin / Units sold = $266000 / 118750 = $2.24

3) Calculations for S:

a) Contribution Margin = Contribution margin per unit x Units sold = $8.32 x 15625 = $130000

b) Variable Expenses = Sales - Contribution Margin = $162500 - $130000 = $32500

c) Net operating Income = Contribution margin - Fixed costs = $130000 - $81000 = $49000

d) Contribution margin = Contribution / Sales = $130000 / $162500 = 0.8

4) Calculations for R:

a) Contribution Margin = Contribution margin per unit x Units sold = $35 x 18000 = $630000

b) Sales = Contribution margin + Variable Expenses = $630000 + $270000 = $900000

c) Fixed Expenses = Contribution margin - Net operating income = $630000 - $133000 = $497000

d) Contribution margin ratio = Contribution margin / Sales = $630000 / 900000 = 0.7

Answer 2 Calculation of Break even sales (in $)

( Fixed Costs + 0 )/Contribution margin percentage = Break Even Sales
P (

405000

+ 0 )/ 0.72 = $562500
Q ( 160000 + 0 )/ 0.64 = $250000
R ( 81000 + 0 )/ 0.8 = $101250
S ( 497000 + 0 )/ 0.7 = $710000

Break even sales is the point at which company's fixed costs will be covered. High contribution margin percentage in the business will help cover fixed costs with ease. Therefore, company with higher contribution margin percentage will have lower break-even sales.

Answer 3

Company R has the lowest Break even sales of $101250. As the contribution margin percentage is higher for company R, it covers fixed cost earlier compared to other companies. Higher contribution margin percentage leads to lower break even sales.

R has the lowest breakeven point, primarily due to highest contribution margin percentage.

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