(a) Use Excel Solver to solve the problem. (b) Reformulate this problem so all variables have nonnegativity constrints. (c) Work through the simplex method step by step to solve the problem.
(a) Use Excel Solver to solve the problem. (b) Reformulate this problem so all variables have nonnegativity constrints. (c) Work through the simplex method step by step to solve the problem.
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 45P
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Transcribed Image Text:Consider the following problem
Maximize Z = x₁ + 4x₂ + 2x3,
subject to
4x₁ + x₂ + 2x3 ≤ 5
-x₁ + x₂ + 2x3 ≤ 10
and X₂ ≥ 0, X3 ≥ 0 (no nonnegativity constraint for x₁).
(a) Use Excel Solver to solve the problem.
(b) Reformulate this problem so all variables have nonnegativity constrints.
(c) Work through the simplex method step by step to solve the problem.
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