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?

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

              Selling Price per unitVariable  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

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

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