The following data were obtained from Joyce manufacturing company. Using the linear programming model, find the optimal production and work force levels. Backorders are not allowed.

Demand data: DI = 350 units, D2 = 375 units, D3 = 325 units Capacity Data:

Regular time capacity: M1 = 250, M2 = 200, M3 = 250 Overtime capacity: Y1 = 130, Y2 = 120, Y3 = 120 Regular time cost/unit (r) = Z 12 Overtime cost/unit (v) = Z 18 Inventory cost/unit/period

(c) = Z 7 Hiring cost/unit (h) = Z 35 Layoff cost/unit

(f) = Z 12 Units produced at t = 0 (P0) = 160 Initial inventory (Jo) = 50.

Formulate a linear programming model for the above aggregate planning problem such that the total cost is minimized.

AppendixLO1