7. Consider the feasible region shown below. Assume the origin (A) is feasible and the constraints are all constraints and the variables are all nonnegative. Suppose you wish to maximize ay+a+2a over this feasible region and you are currently at point G. Which variable should enter the basis in the first iteration of the simplex algorithm if we wish to maximize the objective function improvement after the first iteration?

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.CR: Review Problem Set
Problem 37CR
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7. Consider the feasible region shown below. Assume the origin (A) is feasible and the constraints are all constraints and the
variables are all nonnegative. Suppose you wish to maximize 1 +
over this feasible region and you are currently at
point G. Which variable should enter the basis in the first iteration of the simplex algorithm if we wish to maximize the
objective function improvement after the first iteration?
O only
2₂ only
Ⓒ* only
A
1.₂. or s
1
H
B
G
A: (0,0,0)
B: (1,0,0)
C (0, 1, 0)
D: (0, 0, 1)
Transcribed Image Text:+ 7. Consider the feasible region shown below. Assume the origin (A) is feasible and the constraints are all constraints and the variables are all nonnegative. Suppose you wish to maximize 1 + over this feasible region and you are currently at point G. Which variable should enter the basis in the first iteration of the simplex algorithm if we wish to maximize the objective function improvement after the first iteration? O only 2₂ only Ⓒ* only A 1.₂. or s 1 H B G A: (0,0,0) B: (1,0,0) C (0, 1, 0) D: (0, 0, 1)
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