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 8P

a)

Summary Introduction

To determine: The optimal solution 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.

b)

Summary Introduction

To determine: The way to identify the optimal solution.

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 3y ABC company has five (5) factories. They send their products through five (5) distribution centers (DCs) that serve a specific market. To use full truckloads and to have the economy of scale in transportation, they also use two cross-dock centers as transshipment points. All the required data are represented in the following tables. Transportation cost($) Crossdock Factory Crossdock 1 Crossdock 2 Factory 1 Factory 2 Factory 3 Factory 4 15 40 19 52 29 16 60 15 Factory 5 50 63 Transportation cost($) Distribution Center Crossdock DC1 DC2 DC3 DC4 DC5 Crossdock 1 10 20 14 35 36 Crossdock 2 40 10 13 17 70 Capacity of Factory (units) Factory 1 Factory 2 150 320 Factory 3 80 Factory 4 Factory 5 170 200 Demand for each DC (units) DC 1 140 DC 2 130 DC 3 180 DC 4 250 DC 5 150 (b) How many units of products are transshipped to DCs through cross-docks 1 and 2? (c) Which DC's will be served by each cross-dock center? (d) What is the minimum total distribution cost?
Question 8.20
QUESTION 6 1 pc In the simplex method, if there is a tie (equality) between decision variable and a slack (or surplus) variable in C-Z row for a maximization LP, selected. should be O decision variable O Slack variable O Any variable with highest posative value O surplus variable
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