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 1P

Explanation of Solution

Calculating the extra payment:

  • Let x1 cars produced daily, x2 trucks produced daily and m1 be the daily rent of machine type 1.
  • In order to maximize the profit, the following Linear Programming has to be solved:
  • max z= 300x1+400x250m1
  • Such that,
    • 0.8x1+x2m10
    • m198
    • 0.6x1+0.7x273
    • 2x1+3x2260
    • x188
    • x226
    • x1,x2,m10
  • The output of this Linear Programming is given below:
  • max z=300x1+400x250m1
  • Subject to constraint
    • 0.8x1+x2m10
    • m198
    • 0.6x1+0.7x273
    • 2x1+3x2260
    • x188
    • x226
  • End
  • LP optimum is found at step 3

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