maximise x1 + 2x2 subject to -x1 + 2x2 < 6, x1 + 3x2 < 12, X1, X2 20

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter9: Systems Of Linear Equations
Section9.4: The Addition-or-subtraction Method
Problem 3OE
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maximise x1 + 2x2
subject to
-x1 + 2x2 6,
X1 +3x2 < 12,
X1, X2 2 0
3/2
Transcribed Image Text:maximise x1 + 2x2 subject to -x1 + 2x2 6, X1 +3x2 < 12, X1, X2 2 0 3/2
1) draw feasible region and the direction of the
objective function.
2) use sketch to find an optimal solution, objective
values. If optimal solution does not exist explain
why.
3) find the standard equation form
4) list all the basic feasible solutions of your
standard equation.
Transcribed Image Text:1) draw feasible region and the direction of the objective function. 2) use sketch to find an optimal solution, objective values. If optimal solution does not exist explain why. 3) find the standard equation form 4) list all the basic feasible solutions of your standard equation.
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