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

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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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