A linear programming problem is given as follows: maximize ?? = 50??1 + 80??2 + 64??3 +
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Question:
A linear programming problem is given as follows:
maximize ?? = 50??1 + 80??2 + 64??3 + 80??4
Subject to 5??1 + 2.5??2 + 4.5??3 + 3.99??4 = 600
4.1??1 + 2.6??2 + 5.5??3 + 1.9??4 = 500
15??1 + 22??2 + 18??3 + 25??4 = 400
8??1 + 12.6??2 + 9.7??3 + 10.55??4 = 1700
??1 + ??2 ??1 + ??2 + ??3 + ??4 = 0.60
??1, ??2, ??3, ??4 = 0
a) Transform the problem into standard form. (b) Solve the problem by using the computer. (c) What is the effect on the optimal solution if the 2nd constraint were discarded from the formulation?
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An introduction to management science quantitative approaches to decision making
ISBN: 978-1111532222
13th edition
Authors: David Anderson, Dennis Sweeney, Thomas Williams, Jeffrey Cam
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