Consider the following LP. (a) Put the problem into standard form, using slack, excess, and artificial variables. (b) Formulate the Phase I of the Two-Phase Method. (c) Solve the Phase I.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section4.8: Data Envelopment Analysis (dea)
Problem 42P
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1. Consider the following LP.
(a) Put the problem into standard form, using slack, excess, and artificial variables.
(b) Formulate the Phase I of the Two-Phase Method.
(c) Solve the Phase I.
(d) Is the problem feasible? Explain your answer.
(e) If your answer to (d) yes, proceed to Phase II and solve the problem.
ard Form
x₁ + x₂
Min
z=4x₁ + x 2
s.t.
2
3x₁ + x₂ =3
4x+3x26
x₁ + x₂ =4
x₁, x2=0
Transcribed Image Text:1. Consider the following LP. (a) Put the problem into standard form, using slack, excess, and artificial variables. (b) Formulate the Phase I of the Two-Phase Method. (c) Solve the Phase I. (d) Is the problem feasible? Explain your answer. (e) If your answer to (d) yes, proceed to Phase II and solve the problem. ard Form x₁ + x₂ Min z=4x₁ + x 2 s.t. 2 3x₁ + x₂ =3 4x+3x26 x₁ + x₂ =4 x₁, x2=0
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