Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN: 9780534380588
Author: Wayne L. Winston
Publisher: Brooks Cole
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Chapter 5.3, Problem 7P

Explanation of Solution

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+x3200
    • x1+x340
    • x1+x2+x3100
    • x1,x2,x30
  • The output of this Linear Programming is given below:
  • max z= 8x1+5x2+2x3
  • Subject to constraint
    • 3x1+2x2+x3200
    • x1+x340
    • x1+x2+x3100
  • End
  • LP optimum is found at step 3

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