9.1-7. The Move-It Company has two plants producing forklift trucks that then are shipped to three distribution centers. The production costs are the same at the two plants, and the cost of shipping for each truck is shown for each combination of plant and distribution center: Plant A B 1 $800 $600 Distribution Center 2 $700 $800 3 $400 $500 A total of 60 forklift trucks are produced and shipped per week. Each plant can produce and ship any amount up to a maximum of 50 trucks per week, so there is considerable flexibility on how to divide the total production between the two plants so as to reduce shipping costs. However, each distribution center must receive ex- actly 20 trucks per week. Management's objective is to determine how many forklift trucks should be produced at each plant, and then what the over- all shipping pattern should be to minimize total shipping cost. (a) Formulate this problem as a transportation problem by con- structing the appropriate parameter table. (b) Display the transportation problem on an Excel spreadsheet. c (c) Use Solver to obtain an optimal solution.

Purchasing and Supply Chain Management
6th Edition
ISBN:9781285869681
Author:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
Publisher:Robert M. Monczka, Robert B. Handfield, Larry C. Giunipero, James L. Patterson
ChapterC: Cases
Section: Chapter Questions
Problem 5.1SC: Scenario 3 Ben Gibson, the purchasing manager at Coastal Products, was reviewing purchasing...
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9.1-7. The Move-It Company has two plants producing forklift
trucks that then are shipped to three distribution centers. The
production costs are the same at the two plants, and the cost of
shipping for each truck is shown for each combination of plant
and distribution center:
Plant
A
B
1
$800
$600
Distribution Center
2
$700
$800
3
$400
$500
A total of 60 forklift trucks are produced and shipped per week.
Each plant can produce and ship any amount up to a maximum of
50 trucks per week, so there is considerable flexibility on how to
divide the total production between the two plants so as to reduce
shipping costs. However, each distribution center must receive ex-
actly 20 trucks per week.
Management's objective is to determine how many forklift
trucks should be produced at each plant, and then what the over-
all shipping pattern should be to minimize total shipping cost.
(a) Formulate this problem as a transportation problem by con-
structing the appropriate parameter table.
(b) Display the transportation problem on an Excel spreadsheet.
c (c) Use Solver to obtain an optimal solution.
Transcribed Image Text:9.1-7. The Move-It Company has two plants producing forklift trucks that then are shipped to three distribution centers. The production costs are the same at the two plants, and the cost of shipping for each truck is shown for each combination of plant and distribution center: Plant A B 1 $800 $600 Distribution Center 2 $700 $800 3 $400 $500 A total of 60 forklift trucks are produced and shipped per week. Each plant can produce and ship any amount up to a maximum of 50 trucks per week, so there is considerable flexibility on how to divide the total production between the two plants so as to reduce shipping costs. However, each distribution center must receive ex- actly 20 trucks per week. Management's objective is to determine how many forklift trucks should be produced at each plant, and then what the over- all shipping pattern should be to minimize total shipping cost. (a) Formulate this problem as a transportation problem by con- structing the appropriate parameter table. (b) Display the transportation problem on an Excel spreadsheet. c (c) Use Solver to obtain an optimal solution.
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