The Mad Hatter Company Owns a Machine That Manufactures Two

The Mad Hatter Company owns a machine that manufactures two types of chimney caps.Production time is .20 hours for cap A and .40 hours for cap B.The machine's capacity is 2,000 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 1,000 units of cap A and 6,000 units of cap B.Selling prices and variable costs per unit are shown below.Based on this information,what is Mad Hatter's most profitable sales mix? $\begin{array}{lcc} & \text { Cap A } & \text { Cab B } \\\text { Selling price per unit }& \$ 80 & \$ 60 \\\text { Variable costs per unit } & 53 & 42\end{array}$

A) 10,000 units of cap A.
B) 5,000 units of cap B.
C) 1,000 units of cap A and 5,000 units of cap B.
D) 1,000 units of cap A and 6,000 units of cap B.
E) 1,000 units of cap A and 4,500 units of cap B.