II. Problem Solving. Solve the following goal programming problem by showing your complete solution

1. Conceptual Products is a computer company that produces the CP400 and CP500 computers Many of the components used in the two computer models are produced in abundant supply by the company. However, the memory modules, external hard drives, and cases are bought from suppliers. The CP400 model uses two memory modules and no external hard drive, whereas the CP500 uses one memory module and one external hard drive. Both models use one case Suppliers can provide Conceptual Products with 1000 memory modules, 500 external hard drives, and 600 cases on a weekly basis. It takes one hour to manufacture a CP400 and its profit is $200 and it takes one and one-half hours to manufacture a CP500 and its profit is $500

The company has four goals.

Priority 1 Meet a contract of 200 CP400 machines weekly (Goal 1)

Priority 2 Make at least 500 total computers weekly (Goal 2)

Priority 3. Make at least $250,000 weekly (Goal 3)

Priority 4. Use no more than 400 man-hours per week. (Goal 4)

Formulate a goal programming model to determine the number of these computers to produce to satisfy these goals and then solve the model.