The simplex method can be used to solve the following linear programming problem. Minimize this function: C= 1000x + 1800y + 8000z Subject to these constraints: 10x + 6y+20z ≥ 12 5x+10y+50z ≥ 10 5x + 2y + 10z z 5 x = 0, y ≥ 0, z ≥ 0 I Minimum value of C = This value of C occurs when: X = y = Z=

Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 7CQ
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The simplex method can be used to solve the following linear programming problem.
Minimize this function:
C= 1000x + 1800y + 8000z
Subject to these constraints:
10x + 6y+20z ≥ 12
5x+10y + 50z ≥ 10
5x + 2y + 10z ≥ 5
x = 0, y = 0, z ≥ 0
I
Minimum value of C =
This value of C occurs when:
X =
y =
Z=
Transcribed Image Text:The simplex method can be used to solve the following linear programming problem. Minimize this function: C= 1000x + 1800y + 8000z Subject to these constraints: 10x + 6y+20z ≥ 12 5x+10y + 50z ≥ 10 5x + 2y + 10z ≥ 5 x = 0, y = 0, z ≥ 0 I Minimum value of C = This value of C occurs when: X = y = Z=
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