Sony, a television company, has three major departments for the manufacture of its two models, A and B. The monthly capacities are given as follows (10 points):

Per Unit Time Requirement (hours)

Model A

Model B

Hours Available this Month

Department I

4.0

2.0

1,600

Department II

2.5

1.0

1,200

Department III

4.5

1.5

1,600

The marginal profit per unit from model A is Birr 400 and that of model B is Birr 100 per unit. By assuming that the company can sell any quantity of either product due to favorable market conditions, determine the optimum output for both the models, the highest possible profit for this month in the three departments.

Required:

a)Formulate the model for LPM

b)Solve the LPM using graphical method and interpret the optimal solution.