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 5P

Explanation of Solution

Calculating the extra payment:

  • Let x1 is the number of motorcycle produced at plant 1, x2 is the number of motorcycle produced at plant 2 and x3 is the number of motorcycle produced at plant 2.
  • In order to minimize the cost of meeting these demands, the following Linear Programming has to be solved:
  • min z= 300x1+280x2+225x3
  • Such that
    • 20x1+16x2+10x321,000
    • 5x1+8x2+7x39,400
    • x1750
    • x2750
    • x3750
    • x1+x2+x31,400
    • All variables ≥ 0
  • The output of this Linear Programming is given below:
  • min z= 300x1+280x2+225x3
  • Subject to constraint
    • 20x1+16x2+10x321,000
    • 5x1+8x2+7x39,400
    • x1750
    • x2750
    • x3750
    • x1+x2+x31,400
  • End
  • LP optimum is found at step 3

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Operations Research : Applications and Algorithms
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ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Brooks Cole