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guapka [62]
3 years ago
8

Brief Exercise 5-8 Cullumber Company has a unit selling price of $630, variable costs per unit of $300, and fixed costs of $327,

030. Compute the break-even point in units using (a) the mathematical equation and (b) unit contribution margin.
Business
1 answer:
IRISSAK [1]3 years ago
5 0

Answer:

(a)

Mathematical Equation for break-even

F = QP - QV

Where

F = fixed cost

Q = Break-even quantity

P = Selling price

V = Variable cost

F = Q ( P - V )

Q = F / ( P - V )

Q = $327,030 / ( $630 - $300 )

Q = $327,030 / $330

Q = 991 units

(b)

Contribution Margin = Price per unit - Variable cost per unit

Contribution Margin = $630 - $300 = $330

Break-even Point in Units = Fixed Cost / Contribution margin per unit

Break-even Point in Units = $327,030 / $330 = 991 units

Explanation:

Mathematical equation use the the break-even equation which represent the behavior of each element towards the break-even point.

Contribution per unit method use the contribution of each unit to calculate the break-even point.

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Engberg Company installs lawn sod in home yards. The company’s most recent monthly contribution format income statement follows:
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Answer:

* The company’s degree of operating leverage: 1.38;

* The impact on net operating income of a 22% increase in sales: it will increase by 30.4%;

* New contribution format income statement:

                                               Engberg Company

                             Contribution format income statement

                                      Amount                        Percentage of sales

Sales                              $176,900                              100%

Variable expenses            70,760                               40%

Contribution margin         106,140                               60%

Fixed expenses                 24,000

Net operating income        82,140      

Explanation:

* The company’s degree of operating leverage = Contribution / profit = 87,000/63,000 = 1.38

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* new contribution format income statement is shown in the answer part.

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