A Manufacturer Produces Two Models of Bicycles The Total Times Available for Assembling, Painting, and Packing Are

Multiple Choice

A manufacturer produces two models of bicycles. The times (in hours) required for assembling, painting, and packaging each model are shown in the table. $\begin{array} { l l l } \text { Process } & \text { Model A } & \text { Model B } \\\text { Assembling } & 2 & 2.5 \\\text { Painting } & 4 & 1 \\\text { Packaging } & 1 & 0.75\end{array}$ The total times available for assembling, painting, and packing are 4000 hours, 4800 hours, and 1500 hours, respectively. The profit per unit are $50 for model A and $75 for model B. What is the optimal production level for each model? What is the optimal profit?

A) The optimal profit of $120,000 occurs when no units of model A and 1600 units of of model B are produced.
B) The optimal profit of $112,000 occurs when no units of model A and 1000 units of of model B are produced.
C) The optimal profit of $97,500 occurs when no units of model A and 600 units of of model B are produced.
D) The optimal profit of $60,000 occurs when no units of model A and 0 units of of model B are produced.
E) The optimal profit of $112,000 occurs when no units of model A and 750 units of of model B are produced.