Question

NoFly Corporation sells three different models of a mosquito "zapper." Model A12 sells for $60 and has variable costs of $43. Model B22 sells for $111 and has variable costs of $79. Model C124 sells for $402 and has variable costs of $309. The sales mix of the three models is A12, 60%; B22, 27%; and C124, 13%. If the company has fixed costs of $225,789, how many units of each model must the company sell in order to break even? (Round Per unit values to 2 decimal palces, e.g. 15.25 and final answers to 0 decimal places, e.g. 5,275.)

Answer 1

Answer:

Instructions are below.

Explanation:

Giving the following information:

Model A12:

selling price=  $60

variable cost= $43

Model B22:

selling price= $111

variable costs= $79

Model C124:

selling price= $402

variable costs= $309.

Sales mix:

A12= 60%

B22= 27%

C124= 13%.

Fixed costs= $225,789

First, we need to calculate the break-even point in units for the company as a whole:

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

Weighted average contribution margin ratio= (weighted average selling price - weighted average unitary variable cost)

Weighted average contribution margin ratio= (0.6*60 + 0.27*111 + 0.13*402) - (0.6*43 + 0.27*79 + 0.13*309)

Weighted average contribution margin ratio= 30.93

Break-even point (units)= 225,789/30.93

Break-even point (units)= 7,300 units

Now, for each product:

Sales mix:

A12= 0.6*7,300= 4,380

B22= 0.27*7,300= 1,971

C124= 0.13*7,300= 949