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Maximize 2x, + x, + x, subject to x, + 5x, + x, s 5 3x, + 2 x, + x, < 9 5x, + 4 x, + 2x, s 10

Maximize 2x, + x, + x, subject to x, + 5x, + x, s 5 3x, + 2 x, + x, < 9 5x, + 4 x, + 2x, s 10

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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Maximize 2x, + x, + x, subject to x, + 5x, + x; s 5 3 x, + 2.x, + x,s 9 5 x, + 4 x, + 2x, s 10 (1) (2) (3) X,, X2, Xz 2 0 (ii) Which of the constraints (1) - (3) are binging, and which of them are non- binding? (iii) Write down the shadow prices of constraints (1) - (3). (iv) Write down the reduced costs for x, x, and x,.
Transcribed Image Text:Maximize 2x, + x, + x, subject to x, + 5x, + x; s 5 3 x, + 2.x, + x,s 9 5 x, + 4 x, + 2x, s 10 (1) (2) (3) X,, X2, Xz 2 0 (ii) Which of the constraints (1) - (3) are binging, and which of them are non- binding? (iii) Write down the shadow prices of constraints (1) - (3). (iv) Write down the reduced costs for x, x, and x,.
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