Маx Z Z = 4x1 + 2x2 s.t. s.t. 2х1 + 3x, < 13 x2 2 2 X1 2 2 X1,X2 20 a) Solve graphically. b) What would the optimal solution be if b, = 18 ? c) If Z = 2x + 6x2 , what would be the optimal solution?

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 17EQ
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Μax Z
Z = 4x1 + 2x2
%3D
s.t.
2х1 + 3x2 < 13
x2 2 2
> 2
X1 2 2
X1,X2 20
a) Solve graphically.
b) What would the optimal solution be if b, = 18 ?
c) If Z = 2x, + 6x2 , what would be the optimal solution?
d) What would occur if c2 becomes a very small positive number?
Transcribed Image Text:Μax Z Z = 4x1 + 2x2 %3D s.t. 2х1 + 3x2 < 13 x2 2 2 > 2 X1 2 2 X1,X2 20 a) Solve graphically. b) What would the optimal solution be if b, = 18 ? c) If Z = 2x, + 6x2 , what would be the optimal solution? d) What would occur if c2 becomes a very small positive number?
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