Tyke, Inc Produces Two Products, a and B, Each Requiring Direct

Multiple Choice

Tyke, Inc. produces two products, A and B, each requiring direct material and labour. Total labour available is 200 hours, and 300 kilograms of material. Each unit of A sells for $10, and B sells for $15. Given the following linear programming information: $$\begin{array} { l l } \text { Maximize: } & \$ 4 \mathrm {~A} + \$ 5 \mathrm { Y } \\\text { Subject to: } & 3 \mathrm {~A} + 1 \mathrm {~B} = 200 \\& 2 \mathrm {~A} + 2 \mathrm {~B} = 300\end{array}$$ What are the variable costs per unit for A and B?

A) $4 and $15
B) $14 and $19
C) $6 and $10
D) $7 and $14