The Blanket Company (TBC) manufactures two types of blankets. One is made of nylon. The other is made of wool. The budgeted per-unit contribution margin for each product follows.
Nylon | Wool | |||||||
Sales price | $ | 148 | $ | 200 | ||||
Variable cost per unit | (83 | ) | (90 | ) | ||||
Contribution margin per unit | $ | 65 | $ | 110 | ||||
TBC expects to incur annual fixed costs of $776,000. The relative sales mix of the products is 80 percent for Nylon and 20 percent for Wool.
Required
Determine the total number of products (units of Nylon and Wool combined) TBC must sell to earn a $112,000 profit.
How many units each of Nylon and Wool blankets must TBC sell to earn a $112,000 profit?
Prepare an income statement using the contribution margin format.
Calculation of Weighted average contributon margin
-------------------------------------------------- Nylon Wool
Sales price 148 200
(-) Variable cost 83 90
= Contribution margin per unit 65 110
sales mix (weighted average) 80% 20%
Weighted average unit contribution 52 22
Total weighted contribution = 52 + 22 = 74
Weighted average unit contribution = Contribution margin per unit * sales mix (weighted average )
Total number of products to earn desired profit of 112,000 =
(Fixed cost + Desired profit) / Weighted average unit contribution
= ( 776,000 + 112,000 ) / 74 = 12,000 units
Units of Nylon = 12,000 * 80% = 9,600
Units of Wool = 12,000 * 20% = 2,400
Total number of products to earn desired profit of
112,000 = 12,000 units
Units of Nylon to earn profit of 112,000 = 9,600 units
Units of Wool to earn profit of 112,000 = 2,400 units
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