Question

Yard Tools manufactures lawnmowers, weed-trimmers, and chainsaws. Its sales mix and unit contribution margin are as follows.

Answer 1

Answer:

Lawnmowers= 30,000

Weed-trimmers= 75,000

Chainsaws= 45,000

Explanation:

First, we need to calculate the weighted average contribution margin:

Weighted average contribution margin= sales proportion*unitary contribution margin

Weighted average contribution margin= (0.2*30) + (0.5*20) + (0.3*40)

Weighted average contribution margin= $28

Now, the break-even point in units for the whole company:

Break-even point (units)= Total fixed costs / Weighted average contribution margin

Break-even point (units)= 4,200,000 / 28

Break-even point (units)= 150,000

Finally, the number of units to be sold for each product:

Lawnmowers= 0.20*150,000= 30,000

Weed-trimmers= 0.5*150,000= 75,000

Chainsaws= 0.3*150,000= 45,000