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EB12.

LO 3.4JJ Manufacturing builds and sells switch harnesses for glove boxes. The sales price and variable cost for each follows:


Their sales mix is reflected in the ratio 4:4:1. If annual fixed costs shared by the three products are $18,840 how many units of each product will need to be sold in order for JJ to break even?

User Arian Kulp
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1 Answer

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Answer:

The question is incomplete. The complete question is given below:

Selling Price per unit Variable cost per unit

Product

Trunk Switch $60.00 $28.00

Gas door $75.00 $33.00

Glove Box $40.00 $22.00

Answer Trunk 240 units, Gas 240 units and Box 60 units

Step-by-step explanation:

The break-even point is the activity level where the total revenue of a business exactly equals its cost. At the break-even point, the total profit made will be zero. This analysis enables a firm to determine ahead the number of units to must be produced, customers that must served in order to cover its fixed costs.

Calculation

A break-even point can be calculated as follows:

For single-product scenario:

Break-even point (in units)= Total general fixed cost for the period/ (selling price-variable cost )

Multiple-products scenario= Total general fixed cost for the period/Average contribution per unit

Total general fixed costs are period costs which remain unchanged within a given activity level and cannot be traced to be incurred for a particular product.

Trunk Gas Box

$ $ $

Selling price 60 75 40

Variable cost (28) (33) (22)

Contribution per unit 32 42 18

Cont. from a mix (sp×unit) 128 168 18

Average cont. per mix = (128+168+18)/(4+4+1)= $34.89

Break-even point (in units)= $18,840/$34.89

= 540 units

Total units to be sold to break even is 540 units. This will be distributed across the three products using the sales mix as follows:

Trunk = 4/9× 540 units= 240 units

Gas = 4/9 × 540 = 240 units

Box = 1/9 *540 = 60 units

User Hgoebl
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