Ex. 21.14
a.
Life Vests Tow Ropes Water Skis
Selling price 58$ 25$ 175$
Direct labo
20 10 80
Direct materials 12 3 75
ariable overhead 6 2 4
Contribution margin per uni
20$ 10$ 16$
Direct labor hours per unit (direct labor cos
per unit ÷ $10 per hour) 2 1 8
Contribution margin per direct labor hou
10$ 10$ 2$
Total hours required to meet demand o
25,000 units, 15,000 units, and 5,000
units for vests, ropes, and skis, respectivel
50,000 15,000 40,000
b.
To maximize operating income, the company should produce those products that provide
the greatest contribution margin per unit of scarce resource (direct labor hours). Thus, as
shown above, it would have to produce life vests and tow ropes, each of which have a
contribution margin per direct labor hour of $10. However, to do so would use the entire
65,000 hours of direct labor available (50,000 + 15,000), leaving no labor hours for the
production of skis.
The least profitable product (skis) may, to a limited extent, create a demand for life vests
and ropes. However, due to the large number of vests and ropes the company anticipates