Answer to Question #311402 in Math for eki

Question

Consider the following product mix problem:

 

Three machine shops A, B, C produces three types of products X, Y, Z respectively. Each product involves operation of each of the machine shops. The time required for each operation on various products is given as follows:

 

 

Machine shops

 

Products

 

A

B

C

 

Profit per unit

X

10

7

2

 

Birr 12

Y

2

3

4

 

Birr 3

Z

1

2

1

 

Birr 1

Available Hours

100

77

80

 

Make the Mathematical model of the above primal problem to maximise the profit and then make the dual problem

Answer 1

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