Calculating the extra payment: Let x 1 tons of steel 1 is produced, x 2 tons of steel 2 produced and x 3 tons of steel 3 is produced. In order to maximize the profit, the following Linear Programming has to be solved: max z= 8 x 1 + 5 x 2 + 2 x 3 Such that 3 x 1 + 2 x 2 + x 3 ≤ 200 x 1 + x 3 ≤ 40 x 1 + x 2 + x 3 ≤ 100 x 1 , x 2 , x 3 ≥ 0 The output of this Linear Programming is given below: max z= 8 x 1 + 5 x 2 + 2 x 3 Subject to constraint 3 x 1 + 2 x 2 + x 3 ≤ 200 x 1 + x 3 ≤ 40 x 1 + x 2 + x 3 ≤ 100 End LP optimum is found at step 3

OPERATIONS RESEARCH >INTERNATIONAL EDITI

4th Edition

ISBN: 9780534423629

Author: WINSTON

Publisher: CENGAGE L

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Chapter 5.3, Problem 7P

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Calculating the extra payment:

Let x₁ tons of steel 1 is produced, x₂ tons of steel 2 produced and x₃ tons of steel 3 is produced.

In order to maximize the profit, the following Linear Programming has to be solved:

max z= 8x1+5x2+2x3

Such that

3x1+2x2+x3≤200

x1+x3≤40

x1+x2+x3≤100

x1,x2,x3≥0

The output of this Linear Programming is given below:

max z= 8x1+5x2+2x3

Subject to constraint

3x1+2x2+x3≤200

x1+x3≤40

x1+x2+x3≤100

End

LP optimum is found at step 3

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Chapter 5.3, Problem 6P

Chapter 5.3, Problem 9P

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Solution Summary: The author explains how the following Linear Programming can be used to maximize the profit.

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