Introduction to mathematical programming
Introduction to mathematical programming
4th Edition
ISBN: 9780534359645
Author: Jeffrey B. Goldberg
Publisher: Cengage Learning
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Chapter 4, Problem 28RP

Explanation of Solution

Optimal solution:

  • The following LP example shows that it has more than one optimal solution.
  • It has non degenerate basic feasible solution and there is a non-basic variable in row 0 with a zero coefficient.
  • max z= 6x1+4x2
  • Such that
    • x1+2x216
    • 3x1+2x224
    • x1,x20
  • Solving by the simplex method, the initial table is,
cj 6 4 0 0
cj xj Bi x1 x2 S1 S2

Ratio

(Bix1)

0 S1 16 1 2 1 0 16
0 S2 24 3 2 0 1 8
zjcj -6 -4 0 0
  • Here x1 is entered as it is most negative

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Chapter 4 Solutions

Introduction to mathematical programming

Chapter 4.5, Problem 1P Chapter 4.5, Problem 2P Chapter 4.5, Problem 3P Chapter 4.5, Problem 4P Chapter 4.5, Problem 5P Chapter 4.5, Problem 6P Chapter 4.5, Problem 7P Chapter 4.6, Problem 1P Chapter 4.6, Problem 2P Chapter 4.6, Problem 3P Chapter 4.6, Problem 4P Chapter 4.7, Problem 1P Chapter 4.7, Problem 2P Chapter 4.7, Problem 3P Chapter 4.7, Problem 4P Chapter 4.7, Problem 5P Chapter 4.7, Problem 6P Chapter 4.7, Problem 7P Chapter 4.7, Problem 8P Chapter 4.7, Problem 9P Chapter 4.8, Problem 1P Chapter 4.8, Problem 2P Chapter 4.8, Problem 3P Chapter 4.8, Problem 4P Chapter 4.8, Problem 5P Chapter 4.8, Problem 6P Chapter 4.10, Problem 1P Chapter 4.10, Problem 2P Chapter 4.10, Problem 3P Chapter 4.10, Problem 4P Chapter 4.10, Problem 5P Chapter 4.11, Problem 1P Chapter 4.11, Problem 2P Chapter 4.11, Problem 3P Chapter 4.11, Problem 4P Chapter 4.11, Problem 5P Chapter 4.11, Problem 6P Chapter 4.12, Problem 1P Chapter 4.12, Problem 2P Chapter 4.12, Problem 3P Chapter 4.12, Problem 4P Chapter 4.12, Problem 5P Chapter 4.12, Problem 6P Chapter 4.13, Problem 2P Chapter 4.14, Problem 1P Chapter 4.14, Problem 2P Chapter 4.14, Problem 3P Chapter 4.14, Problem 4P Chapter 4.14, Problem 5P Chapter 4.14, Problem 6P Chapter 4.14, Problem 7P Chapter 4.16, Problem 1P Chapter 4.16, Problem 2P Chapter 4.16, Problem 3P Chapter 4.16, Problem 5P Chapter 4.16, Problem 7P Chapter 4.16, Problem 8P Chapter 4.16, Problem 9P Chapter 4.16, Problem 10P Chapter 4.16, Problem 11P Chapter 4.16, Problem 12P Chapter 4.16, Problem 13P Chapter 4.16, Problem 14P Chapter 4.17, Problem 1P Chapter 4.17, Problem 2P Chapter 4.17, Problem 3P Chapter 4.17, Problem 4P Chapter 4.17, Problem 5P Chapter 4.17, Problem 7P Chapter 4.17, Problem 8P Chapter 4, Problem 1RP Chapter 4, Problem 2RP Chapter 4, Problem 3RP Chapter 4, Problem 4RP Chapter 4, Problem 5RP Chapter 4, Problem 6RP Chapter 4, Problem 7RP Chapter 4, Problem 8RP Chapter 4, Problem 9RP Chapter 4, Problem 10RP Chapter 4, Problem 12RP Chapter 4, Problem 13RP Chapter 4, Problem 14RP Chapter 4, Problem 16RP Chapter 4, Problem 17RP Chapter 4, Problem 18RP Chapter 4, Problem 19RP Chapter 4, Problem 20RP Chapter 4, Problem 21RP Chapter 4, Problem 22RP Chapter 4, Problem 23RP Chapter 4, Problem 24RP Chapter 4, Problem 26RP Chapter 4, Problem 27RP Chapter 4, Problem 28RP
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