Operations Management: Sustainability and Supply Chain Management (12th Edition)
Operations Management: Sustainability and Supply Chain Management (12th Edition)
12th Edition
ISBN: 9780134130422
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
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Chapter C, Problem 10P
Summary Introduction

To determine: The optimal solution and the total cost using transportation problem.

Introduction: The major objective of the transportation problem is to minimize the distributing cost of a product from a source to an origin. Transportation problem is one of the type of linear programming.

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Question 2 Acme Fasteners desires to locate a new facility. Based on preliminary analysis, the choice has been reduced to four locations: A, B, C, and D. These four locations were rated on a scale from 1 (worst) to 10 (best) on each of four criteria. Each criterion was also weighted to indicate its importance (i.e., the higher the weight, the more important). The list of ratings and weights follows. Based on weighted scores, where should Acme locate its new facility?
Question 1 (b)                                                                   A company is considering to invest in eight projects. The estimated cost of each project, the perceived priority points, the estimated number of new jobs each project would create are provided in the Table 1.                Table 1 Project Cost ($) Priority Points New Jobs X1    X2   X3   X4   X5   X6   X7   X8    5000 4500 600 2000 6000 800 3200 2500 3176 2774 3513 2928 4607 862 3829 2708 5 1 2 1 3 1 7 2   1. Formulate objective function for this 0-1 integer model to maximise the total number of perceived priority points.  Considering the above problem write down mathematical equations for each of following conditions/constraints.   2. A budget of $21000 is available for the projects.    3. The company wishes to fund at most three of the projects.    4. The company wants to create at least 8 new jobs from these projects.…
Question 1 (b)                                                                   A company is considering to invest in eight projects. The estimated cost of each project, the perceived priority points, the estimated number of new jobs each project would create are provided in the Table 1.                   Table 1 Project Cost ($) Priority Points New Jobs X1    X2   X3   X4   X5   X6   X7   X8    5000 4500 600 2000 6000 800 3200 2500 3176 2774 3513 2928 4607 862 3829 2708 5 1 2 1 3 1 7 2     4. The company wants to create at least 8 new jobs from these projects.                                                                                                  5. Only one of the two projects, i.e., X3 and X5 should be funded at this time but not both.    6. The company believes that if it decides to invest in project X7 then it should also invest in project X8, and vice versa.                           [DO NOT SOLVE THE ABOVE MODEL YOU DEVELOPED IN QUESTION 1 (b).…
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