Manufacturer of washing machines produces two (2) models of washing machines which are model A and model B. Information about the production processes, production capacity, and the profits from the sales are given in the following table:
Washing Machine
Process 1 (in hours)
Process 2 (in hours)
Process 3 (in hours)
Profit (per unit)
Model A
5
2
2
RM 500
Model B
4
3
1
RM 300
Capacity
80,000
48,000
28,000
Formulate the linear programming problem above into a mathematical model. By using the graphical method, find the number of model A and model B that have to be produced in order for the manufacturer to obtain the maximum profit.