A company sells two products with information as follows: $$\begin{array} { | l | r | r | }
\hline & \mathrm { A } & \mathrm { B } \
\hline \text { Sales price per unit } & \$ 12.00 & \$ 24.00 \
\hline \text { Variable cost per unit } & \$ 10.00 & \$ 12.00 \
\hline
\end{array}$$ The products are machine made.Four units of product A can be made with one machine hour and two units of product B can be made with one machine hour.The company has a maximum of 6,000 machine hours available per month.The company can sell up to 18,000 units of product A per month,and up to 3,000 units of product B for the month.What is the optimum product mix to maximize company's operating income?

Question

A company sells two products with information as follows: $$\begin{array} { | l | r | r | } 
\hline & \mathrm { A } & \mathrm { B } \
\hline \text { Sales price per unit } & \$ 12.00 & \$ 24.00 \
\hline \text { Variable cost per unit } & \$ 10.00 & \$ 12.00 \
\hline
\end{array}$$ The products are machine made.Four units of product A can be made with one machine hour and two units of product B can be made with one machine hour.The company has a maximum of 6,000 machine hours available per month.The company can sell up to 18,000 units of product A per month,and up to 3,000 units of product B for the month.What is the optimum product mix to maximize company's operating income?

Quizplus · Accepted Answer

The contribution margin per machine hour is higher for product B ($24 - $12 = $12 per unit, 2 units per hour = $24 per hour) than for product A ($12 - $10 = $2 per unit, 4 units per hour = $8 per hour). Therefore, the company should produce the maximum units of B (3,000 units) and use the remaining machine hours for A (18,000 units).

A Company Sells Two Products with Information as Follows The Products Are Machine Made