Consider the following set of constraints: I + 2x2 + 2x3 + 4xg 5 40 2x1 - x2 + X + 2x4 s 8 41, - 2x, + x3 - X s 10 Solve the problem for each of the following objective functions. (a) Maximize z = 2x, + Ig – 3xz + 5x.
Consider the following set of constraints: I + 2x2 + 2x3 + 4xg 5 40 2x1 - x2 + X + 2x4 s 8 41, - 2x, + x3 - X s 10 Solve the problem for each of the following objective functions. (a) Maximize z = 2x, + Ig – 3xz + 5x.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Consider the following set of constraints:
X1 + 2x2 + 2x, + 4x4 s 40
2x1 - x + X3 + 2x4 s 8
4x, - 2x, + xz - Xs 10
X1, X2, X3, X4 2 0
Solve the problem for each of the following objective functions.
(a) Maximize z = 2x, + xz – 3xz + 5x4.
(b) Maximize z = 8x¡ + 6xz + 3x3 – 2x4.
(c) Maximize z
(d) Minimize z = 5x, - 4x, + 6x3 - 8x4.
= 3x1 – x2 + 3x3 + 4x4.
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