Answer to Question #335019 in Operations Research for kalehiwot

Question

1.     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:

 

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. 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 and the slack time in the three departments.

Required

a)     Formulate the problem as LPM

b)     Solve the LPM using graphical method.

Answer 1

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