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Operations Research Models and Methods
 
Problems Section
Network Flow Programming Models
 - Transformation of Labor and Raw Materials

A company has two plants, P1 and P2, that produce three products, A, B, and C. The number of labor hours to produce a unit of each product at the two plants is shown in the table below. The cost of raw materials for producing the products at the two plants is shown in the second table. The weekly demand for the products is 1000, 500, and 700 respectively. There are 1500 labor hours available at each plant. Find the solution that will meet demand for the products without exceeding the labor available at each plant.

 
Number of labor hours per unit of product
 
Cost of raw material per unit of product

A

B

C

 

A

B

C

Plant P1

0.5

2.0

1.5

 

10

20

30

Plant P2

0.75

1.2

2.0

 

15

20

35


  
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Operations Research Models and Methods
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by Paul A. Jensen
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