Question

A firm manufactures a product that sells for $12 per unit. Variable cost per unit is...

A firm manufactures a product that sells for $12 per unit. Variable cost per unit is $8 and fixed cost per month is $1200. Capacity is 1000 units per month. a. How much is the contribution margin? __________ b. How much is the contribution rate? ___________ c. How many units must they sell per month in order to break even? _________ d. How many units must they sell in order to have a profit of $2,500 per month? ___________

Homework Answers

Answer #1

a) Contribution Margin:

Following formula can be used to calculate the contribution margin:

Contribution Margin = Total Sales - Total Variable Cost

Contribution Margin = $ 12 * 1000 - $8*1000 = $ 4000

b) Contribution rate:

Following formula can be used to calculate the contribution rate:

Contribution rate:  (Total Sales - Total Variable Cost)/Total Sales

Contribution Rate = 4000/12000 = 0.333 or 33.3%

c) Break-Even:

The formula for break-even point is as follows:

Break-Even = Fixed Cost/Contribution margin per unit

Break-Even = 1200/(12-8) = 1200/3 = 400 units

Thus break-even will be at 400 units

d) to calculate the number of units at a particular profit, the following formula should be used:

Number of units = (Fixed Cost + Target Profit)/Contribution margin per unit

Number of units = (1200+2500)/4 = 925 units

925 units should be made to get the profit of $ 2500

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