OPERATIONS RESEARCH >INTERNATIONAL EDITI
OPERATIONS RESEARCH >INTERNATIONAL EDITI
4th Edition
ISBN: 9780534423629
Author: WINSTON
Publisher: CENGAGE L
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Chapter 5.3, Problem 4P

Explanation of Solution

Calculating the extra payment:

  • Let xmn is the number of units of product n at plant m.
  • In order to minimize the cost of meeting these demands, the following Linear Programming has to be solved:
  • min z= 5x11+6x12+8x13+8x21+7x22+10x23
  • Such that,
    • x11+x12+x1310,000
    • x21+x22+x2310,000
    • x11+x216,000
    • x12+x228,000
    • x13+x235,000
    • All variables ≥ 0
  • The output of this Linear Programming is given below:
  • min z= 5x11+6x12+8x13+8x21+7x22+10x23
  • Subject to constraint
    • x11+x12+x1310,000
    • x21+x22+x2310,000
    • x11+x216,000
    • x12+x228,000
    • x13+x235,000
  • End
  • LP optimum is found at step 2

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