Question

Madison Corporation sells three products (M, N, and O) in the following sales mix: 3:1:2. Unit price and cost data are: M N O Unit sales price $ 7 $ 4 $ 6 Unit variable costs 3 2 3 Total fixed costs are $340,000. The break-even point in composite units for the current sales mix (round to the nearest unit) is:

Answer 1

Answer:

Products    Selling price   Unit variable cost   Contribution per unit

                        $                           $                             $

M                      7                           3                             4

N                       6                          2                             4

O                       6                          3                             3

                        19                          8                            11

Break-even point in composite units

= Total fixed cost

  Contribution per unit

= $340,000

         $11

= 30,909 units

Break-even point for the current sales mix

M    3/6 x 30,909 units = 15,455 units

N     1/6 x 30,909 units = 5,151 units

O     2/6 x 30,909 units = 10,303 units

Explanation:

In this case, we need to calculate contribution per unit of each product by deducting the unit variable cost of each product from their respective selling prices. Then, we will obtain the break-even point in composite units by dividing the total fixed cost by overall contribution per unit.

Then, we will determine the break-even point for the current sales mix by multiplying the proportion of each product in the sales mix by the break-even point in composite units.