2. Consider the following LP problem: max z = 3x1 + 2x2 + x3 x1 + x2 + x3 < 20 x1 + 2r2 + 3r3 > 40 X1+x2 > 10 x1, 82, X3 2 0 2.1 Convert the problem to standard form. 2.2 Form the Phase One problem from the linear program you formulated in 2.1. 2.3 Solve the Phase One problem using tableaus. For each iteration indicate the ente and leaving variables. 2.4 Does the original LP problem have an initial feasible solution? If so, solve the P Two part of the problem using the simplex method. For each iteration write out tableau and indicate the pivot element.

Calculus: Early Transcendentals
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Chapter1: Functions And Models
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2. Consider the following LP problem:
z = 3x1 + 2x2 + x3
Xị + x2 + x3 < 20
x1 + 2x2 + 3x3 > 40
max
%3D
Xị + x2 > 10
X1, X2, X3 > 0
2.1 Convert the problem to standard form.
2.2 Form the Phase One problem from the linear program you formulated in 2.1.
2.3 Solve the Phase One problem using tableaus. For each iteration indicate the enteri
and leaving variables.
2.4 Does the original LP problem have an initial feasible solution? If so, solve the Pha
Two part of the problem using the simplex method. For each iteration write out t
tableau and indicate the pivot element.
Transcribed Image Text:2. Consider the following LP problem: z = 3x1 + 2x2 + x3 Xị + x2 + x3 < 20 x1 + 2x2 + 3x3 > 40 max %3D Xị + x2 > 10 X1, X2, X3 > 0 2.1 Convert the problem to standard form. 2.2 Form the Phase One problem from the linear program you formulated in 2.1. 2.3 Solve the Phase One problem using tableaus. For each iteration indicate the enteri and leaving variables. 2.4 Does the original LP problem have an initial feasible solution? If so, solve the Pha Two part of the problem using the simplex method. For each iteration write out t tableau and indicate the pivot element.
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