Production and Operations Analysis, Seventh Edition
7th Edition
ISBN: 9781478623069
Author: Steven Nahmias, Tava Lennon Olsen
Publisher: Waveland Press, Inc.
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Chapter 6.5, Problem 10P
Summary Introduction
Interpretation:Percentage increase in total shipping costs at optimal solution is to be determined.
Concept Introduction:
Linear programming (LP) is an optimization methodology which is multivariable having single objective. Linear programming involves solving linear problems and providing optimized solution based on the applicable constraints.
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Determine whether the statement is true or false.
In a transportation problem with total supply equal to total demand, if there are two origins and three destinations, and there is a unique optimal solution, the optimal solution will utilize 5 shipping routes.
True or False
Obtain the initial basic feasible solution to the following transportation problem using north- west corner rule
D1
D2
D3
D4
SUPPLY
O1
6
4
1
5
14
O2
8
9
2
7
16
O3
4
3
6
2
5
DEMAND
6
10
15
4
Where O1, O2, O3, O4 are the origins and D1, D2, D3, D4 are requirements respectively. Obtain the minimum cost and comment upon the concept of transportation problem and its significance in detail.
PharmaCo wants to determine how to deploy sales representatives across its Western U.S. region to support a new drug for obesity. Sales representatives will be located in a "home city", which they serve, in addition to cities with feasible commuting distance, with the objective that all cities must be served by at least one sales representative. The feasible connections between each city in the region are listed below (1 indicates a feasible connection, potential home cities are shown in columns, and cities served in rows):
Potential Rep Home
City Served?
Albuquerque
El Paso
Denver
Phoenix
San Diego
Los Angeles
San Francisco
Portland
Seattle
Las Vegas
Salt Lake City
Albuquerque
1
1
1
1
0
0
0
0
0
0
0
El Paso
1
1
0
1
0
0
0
0
0
0
0
Denver
1
0
1
1
0
0
0
0
0
0
1
Phoenix
1
1
1
1
1
1
0
0
0
1
1
San Diego
0
0
0
1
1
1
1
0
0
1
0…
Chapter 6 Solutions
Production and Operations Analysis, Seventh Edition
Ch. 6.2 - Prob. 1PCh. 6.2 - Prob. 2PCh. 6.2 - Prob. 3PCh. 6.2 - Prob. 4PCh. 6.2 - Prob. 5PCh. 6.2 - Prob. 6PCh. 6.2 - Prob. 7PCh. 6.2 - Prob. 8PCh. 6.5 - Prob. 10PCh. 6.5 - Prob. 11P
Ch. 6.5 - Prob. 12PCh. 6.5 - Prob. 13PCh. 6.5 - Prob. 14PCh. 6.5 - Prob. 15PCh. 6.5 - Prob. 16PCh. 6.6 - Prob. 17PCh. 6.6 - Prob. 18PCh. 6.6 - Prob. 19PCh. 6.6 - Prob. 20PCh. 6.6 - Prob. 21PCh. 6.9 - Prob. 22PCh. 6.9 - Prob. 24PCh. 6.9 - Prob. 25PCh. 6.9 - Prob. 26PCh. 6.9 - Prob. 27PCh. 6.9 - Prob. 28PCh. 6.9 - Prob. 29PCh. 6.9 - Prob. 30PCh. 6.9 - Prob. 31PCh. 6.10 - Prob. 34PCh. 6.11 - Prob. 37PCh. 6.11 - Prob. 38PCh. 6.11 - Prob. 39PCh. 6.11 - Prob. 41P
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