Solve this using Simplex x1 = quantity of product 1x2 = quantity of product 2X3 = quantity of product 3Maximize 15x + 20x2 + 14x3 where%3DSubject toLabor5x1 + 6x2 + 4x3210 hoursMaterial10x1 + 8x2 + 5x3200 poundsMachine4x1 + 2x2 + 5x3170 minutesX1, X2, X3VI VI VI AI

The problem is converted to canonical form by adding slack, surplus, and artificial variables as…

x1 = quantity of product 1 x2 = quantity of product 2 x3 = quantity of product 3 Maximize 15x + 20x2 + 14.x3 where Subject to Labor 5х + 6х2 + 4хз 210 hours Material 10x1 + 8x2 + 5x3 200 pounds Machine 4x1 + 2x2 + 5x3 170 minutes X1,X2,X3 VI VI VI AI

x1 = quantity of product 1 x2 = quantity of product 2 x3 = quantity of product 3 Maximize 15x + 20x2 + 14.x3 where Subject to Labor 5х + 6х2 + 4хз 210 hours Material 10x1 + 8x2 + 5x3 200 pounds Machine 4x1 + 2x2 + 5x3 170 minutes X1,X2,X3 VI VI VI AI

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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Concept explainers

Optimization Models

Optimization models are mathematical models that help organizations determine the best way to allocate scarce resources to achieve specific objectives. These models can be used to solve a wide variety of problems, from finding the most efficient route for a delivery truck to determining the optimal mix of products to stock in a store.

Question

100%

Solve this using Simplex

x1 = quantity of product 1
x2 = quantity of product 2
X3 = quantity of product 3
Maximize 15x + 20x2 + 14x3 where
%3D
Subject to
Labor
5x1 + 6x2 + 4x3
210 hours
Material
10x1 + 8x2 + 5x3
200 pounds
Machine
4x1 + 2x2 + 5x3
170 minutes
X1, X2, X3
VI VI VI AI

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