1. Company XYZ manufactures products A, B, C & D which must go through the departments of wiring, drilling, assembly and inspection. The time requirement in each department and the unit profit are given in the table below: Wiring Drilling Assembly Inspection Unit Profit Minimum Production Level ProductA 0.5 3 2 0.5 $ 9 150 B 1.5 1 4 1.0 $ 12 100 C 1.5 2 1 0.5 $ 15 300 D 1.0 3 2 5.5 $ 11 400

The production time available in each department each month and the minimum monthly production requirement is given below. Capacity (hours)

Wiring 2500

Drilling 2350

Assembly 2600

Inspection 3200

Formulate (objective function and constraint) as a linear programming problem