Question

Determine how many of each plant stand Bobby needs to sell to breakeven. Begin by computing the​ weighted-average contribution margin per unit. First identify the formula​ labels, then complete the calculations step by step.

Answer 1

Answer:

For twig stands= 24 units.

For oak stand = 6 units.

Explanation:

From the question above we are given that the Sale price for Twig and Oak plant stand are 15.00 and 42.00. We are also given that the Variable cost for Twig and Oak plant stand are 2.00 and 19.00 per unit. Thus, the value for the Contribution Margin per unit can be calculated by just subtracting Variable cost for Twig and Oak plant stand from Sale price for Twig and Oak plant stand, that is;

Contribution Margin per unit = (Sale price for Twig and Oak plant) - (Variable cost for Twig and Oak plant stand).

Contribution Margin per unit for Twig = 15.00 - 2.00 = 13.00 and the Contribution Margin per unit for oak = 42.00 - 19.00 = 23.00.

From the question, we are given that the Sales mix in units is 4(twig) and 1(oak) = 4 + 1 = 5.

Thus, the contribution margin for twig = sales mix for twig × Contribution Margin per unit for Twig = 4 × 13 = 52.

Also, the contribution margin for oak = sales mix for oak × Contribution Margin per unit for oak = 1 × 23 = 23.

Total = 52 + 23 = 75.

Hence, the Weighted Average Contribution per unit = 75 / 5 = 15.

Total Break even Sales = 450/15 = 30 units.

Thus, for twig stand; 30 × 4/5 = 24 units.

For oak = 30 × 1/5 = 6 units.