Bandy Corporation owns a machine that manufactures lawn games. Production time for the croquet set is 10 units per hour and for the volley ball game is 8 units per hour. The machine's capacity is 1,500 hours per year. Both products are sold to a single customer who has agreed to buy all of the company's output up to a maximum of 4,000 croquet sets and 10,000 volleyball games. Selling prices and variable costs per unit are shown below. Based on this information, what is Bandy Corporation's most profitable sales mix? $$\begin{array} { | l | c | c | }
\hline & \text { Croquet Set } & \text { Volleyball Game } \
\hline \text { Selling price per unit } & \$ 75 & \$ 62 \
\hline \text { Variable costs per unit } & 42 & 25 \
\hline
\end{array}$$
A) 15,000 croquet sets.
B) 12,000 volleyball games.
C) 4,000 croquet sets and 10,000 volleyball games.
D) 4,000 croquet sets and 8,800 volleyball games.
E) 2,500 croquet sets and 10,000 volleyball games.

Question

Bandy Corporation owns a machine that manufactures lawn games. Production time for the croquet set is 10 units per hour and for the volley ball game is 8 units per hour. The machine's capacity is 1,500 hours per year. Both products are sold to a single customer who has agreed to buy all of the company's output up to a maximum of 4,000 croquet sets and 10,000 volleyball games. Selling prices and variable costs per unit are shown below. Based on this information, what is Bandy Corporation's most profitable sales mix? $$\begin{array} { | l | c | c | } 
\hline & \text { Croquet Set } & \text { Volleyball Game } \
\hline \text { Selling price per unit } & \$ 75 & \$ 62 \
\hline \text { Variable costs per unit } & 42 & 25 \
\hline
\end{array}$$
A) 15,000 croquet sets.
B) 12,000 volleyball games.
C) 4,000 croquet sets and 10,000 volleyball games.
D) 4,000 croquet sets and 8,800 volleyball games.
E) 2,500 croquet sets and 10,000 volleyball games.

Quizplus · Accepted Answer

The most profitable sales mix is determined by maximizing the contribution margin per hour of machine time. The contribution margin per unit for croquet sets is $33, and for volleyball games, it is $37. The contribution margin per hour for croquet sets is $330 (10 units x $33), and for volleyball games, it is $296 (8 units x $37). To maximize profit, prioritize croquet sets up to the maximum demand of 4,000 units, then use remaining capacity for volleyball games. This results in 4,000 croquet sets and 8,800 volleyball games, utilizing the full 1,500 hours.

Bandy Corporation Owns a Machine That Manufactures Lawn Games A) 15,000 Croquet Sets