Formulate a linear programming model for the above situation by determining

(a) The decision variables.

(b) Determine the objective function. What does it represent?

(c) Determine all the constraints. Briefly describe what each constraint represents.

1. The Charm City Manufacturing Company would like to maximize the profit of manufacturing three products. The time in hours required for each product in each production department is tabled below, along with the profit for each product. Department A Department B Department C Profit Product 1 28 8 8 $120 Product 2 18 10 6 $100 Product 3 30 10 5 $110 Currently labor assignments provide for 4200 hours in Department A, 2000 hours in Department B, and 2200 hours in Department C. Charm City wants to produce at least 60 units of Product 1.