Consider the following set of constraints: X1 + x2 + x3 = 7 %3D 2x1 – 5x2 + x3 2 10 X1, X2, Xz 2 0 Solve the problem for each of the following objective functions: (a) Maximize z = 2x, + 3x, – 5x3. 2x, + 3x2 – 5x3. %3D
Consider the following set of constraints: X1 + x2 + x3 = 7 %3D 2x1 – 5x2 + x3 2 10 X1, X2, Xz 2 0 Solve the problem for each of the following objective functions: (a) Maximize z = 2x, + 3x, – 5x3. 2x, + 3x2 – 5x3. %3D
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 + x2 + x3 = 7
2x1 – 5x2 + x3 z 10
X1, X2, xz 2 0
Solve the problem for each of the following objective functions:
(a) Maximize z = 2x1 + 3x2 – 5x3.
(b) Minimize z = 2x + 3x2 – 5x3.
(c) Maximize z = x1 + 2x2 + x3.
(d) Minimize z = 4x1 – 8x2 + 3x3.
Solve (a) and (b) using M-Method, (c) and (d) using Two Phase Method.
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