Question

Gay and Joy developed a neat Bento box for children. The shape of the containers encourages healthy eating, and it is very popular. They have been paying another company to manufacture the boxes for them but are interested in manufacturing the boxes themselves. They’ve developed the following cost estimates:
Sales (100,000 units) $ 1,000,000
Costs: Fixed Variable
Raw Materials $ 0 $ 300,000
Direct Labor 0 200,000
Factory Costs 100,000 150,000
Selling and Administrative
Costs 110,000 50,000
Total Costs $ 210,000 $ 700,000
Operating Income $ 90,000
1. How many units will Gay and Joy need to sell to breakeven?

Answer 1

If Gay and Joy developed a neat Bento box for children. The shape of the containers encourages healthy eating, and it is very popular. How many units will Gay and Joy need to sell to breakeven is: 70,000 units.

First step is to determine the selling price

Selling price = $1,000,000 / 100,000 units

Selling price = $10

Second step is to determine the Variable cost per unit  

Variable cost per unit =$700,000 / 100,000 units

Variable cost per unit = $7

Third step is to calculate the Contribution margin per unit using this formula

Contribution margin per unit = Selling price - Variable cost

Let plug in the formula

Contribution margin per unit = $10 - $7

Contribution margin per unit = $3

Fourth step how many units will Gay and Joy need to sell to breakeven

Using this formula

Break even= Fixed cost / Contribution per unit

Break even = $ 210,000 / $3

Break even  =70,000 units

Inconclusion if Gay and Joy developed a neat Bento box for children. The shape of the containers encourages healthy eating, and it is very popular. How many units will Gay and Joy need to sell to breakeven is: 70,000 units.

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