Please answer all question and provide explanation. Consider the following problem:Маximize Z —D 2.1] + 5x2 + 3^3subject to||2x2 +2x1 + 4x2 +xi > 0, x2 > 0, x3 > 0.(1)(2)X1X320X350(a)Let M → o. Construct the big-M problem in algebraic/tabular form by introducingslack, excess and/or artificial variables. Define all variables clearly.(b) Use the tabular form of the big-M method to find an optimal solution for (x1, x2, X3) andthe associated optimal value for Z. In each simplex tableau, identify the current solutionfor (x1, x2, x3), its feasibility for the original problem, and the associated value for Z if itis feasible for the original problem.AL I

Maximize Z = 2x1 + 5x2 + 3x3 subject to 2x2 + 2x1 + 4x2 + Т1> 0, 22 2 0, Хз > 0. (1) (2) X1 X3 > 20 X3 50 Let M → o. Construct the big-M problem in algebraic/tabular form by introduci slack, excess and/or artificial variables. Define all variables clearly. Use the tabular form of the big-M method to find an optimal solution for (x1, x2, x3) a the associated optimal value for Z. In each simplex tableau, identify the current soluti for (x1, x2, 13), its feasibility for the original problem, and the associated value for Z i is feasible for the original problem

Maximize Z = 2x1 + 5x2 + 3x3 subject to 2x2 + 2x1 + 4x2 + Т1> 0, 22 2 0, Хз > 0. (1) (2) X1 X3 > 20 X3 50 Let M → o. Construct the big-M problem in algebraic/tabular form by introduci slack, excess and/or artificial variables. Define all variables clearly. Use the tabular form of the big-M method to find an optimal solution for (x1, x2, x3) a the associated optimal value for Z. In each simplex tableau, identify the current soluti for (x1, x2, 13), its feasibility for the original problem, and the associated value for Z i is feasible for the original problem

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Question

Please answer all question and provide explanation.

Consider the following problem:
Маximize Z —D 2.1] + 5x2 + 3^3
subject to
||
2x2 +
2x1 + 4x2 +
xi > 0, x2 > 0, x3 > 0.
(1)
(2)
X1
X3
20
X3
50
(a)
Let M → o. Construct the big-M problem in algebraic/tabular form by introducing
slack, excess and/or artificial variables. Define all variables clearly.
(b) Use the tabular form of the big-M method to find an optimal solution for (x1, x2, X3) and
the associated optimal value for Z. In each simplex tableau, identify the current solution
for (x1, x2, x3), its feasibility for the original problem, and the associated value for Z if it
is feasible for the original problem.
AL I

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