Use This Information for the Following Questions -Refer to the Information Above

Essay

Use this information for the following questions.
Six products are currently waiting processing on a single machine.The machine is available today for a maximum of 25 hours.The processing time per hour for each product along with the profit contribution per product is show below.
$$\begin{array} { l c c } \text { Product } & \text { Profit Contribution } & \text { Processing Time (Hours) } \\ \text { A } & \$ 55 & 5 \\\text { B } & \$ 70 & 4 \\\text { C } & \$ 45 & 6 \\\text { D } & \$ 60 & 5 \\\text { E } & \$ 50 & 3 \\\text { F } & \$ 65 & 6\end{array}$$
-Refer to the information above.Assume that the following conditions must be met:
a)We want to ensure that exactly one of these products: A,B,or C must be processed.
b)We want to ensure that if product E is processed then product F must be processed.
Which products should be processed to maximize the total profit contribution?