Min X +2x, X +3x, 2 90 8x, + 2x, 2160 3x, + 2x, 2120 s.t. X S70 a. Write the problem in standard form. Identify slack/surplus variables. b. The optimal solution of the above LP model is (180/7, 150/7). What are the values of the slack and surplus variables at the optimal solution?
Min X +2x, X +3x, 2 90 8x, + 2x, 2160 3x, + 2x, 2120 s.t. X S70 a. Write the problem in standard form. Identify slack/surplus variables. b. The optimal solution of the above LP model is (180/7, 150/7). What are the values of the slack and surplus variables at the optimal solution?
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
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Transcribed Image Text:1. Consider the following linear programming problem.
Min
X +2x,
X + 3x, > 90
8x, + 2x, >160
3x, + 2x, 2120
s.t.
X 70
a. Write the problem in standard form. Identify slack/surplus variables.
b. The optimal solution of the above LP model is (180/7, 150/7). What are the values of
the slack and surplus variables at the optimal solution?
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