Question

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 $ 151 $ 203 Variable cost per unit (87 ) (83 ) Contribution margin per unit $ 64 $ 120 TBC expects to incur annual fixed costs of $743,000. The relative sales mix of the products is 75 percent for Nylon and 25 percent for Wool. Required Determine the total number of products (units of Nylon and Wool combined) TBC must sell to earn a $115,000 profit. How many units each of Nylon and Wool blankets must TBC sell to earn a $115,000 profit? Prepare an income statement using the contribution margin format.

Answer 1

contribution margin of nylon blankets = $64

contribution margin of wool blankets = $120

annual fixed costs = $743,000

sales mix = 75% nylon blankets, 25% wool blankets

weighted contribution margin = ($64 x 75%) + ($120 x 25%) = $78

if TBC wants ot make $115,000 in profits it must sell:

= ($743,000 + $115,000) / $78 = 11,000 units

TBC must sell 2,750 wool blankets and 8,250 nylon blankets.

The Blanket Company (TBC)

Income Statement

Sales revenue $1,804,000

Variable costs ($946,000)

Contribution margin $858,000

Fixed costs ($743,000)

Operating income $115,000