A Company Makes Two Models of Doghouses The Total Times Available for Assembling, Painting, and Packaging Are

Multiple Choice

A company makes two models of doghouses. The times (in hours) required for assembling, painting, and packaging are shown in the table. $\begin{array} { l l l } \text { Process } & \text { Model A } & \text { Model B } \\\text { Assembling } & 2.5 & 3 \\\text { Painting } & 2 & 1 \\\text { Packaging } & 0.75 & 1.25\end{array}$ The total times available for assembling, Painting, and packaging are 4000 hours, 2500 hours, and 1500 hours, respectively. The profits per unit are $60 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 occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $98,571.
B) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $98,535.
C) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $97,500.
D) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $90,000.
E) The optimal profit occurs when 571 units of model A and 857 units of model B are produced. The optimal profit is $75,000.