The available supplies are 120 units from Reno, 200 from Denver, and 160 from Pittsburgh. Phoenix has a demand of 140 units, Cleveland has a demand of 160 units, and Chicago has a demand of 180 units. How many units should be shipped from each manufacturing facility to each of the retail stores if cost is to be minimized? What is the total cost?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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9-13 Finnish Furniture manufactures tables in facilities located in
three cities-Reno, Denver, and Pittsburgh. The tables are then
shipped to three retail stores located in Phoenix, Cleveland, and
Chicago. Management wishes to develop a distribution schedule
that will meet the stores' demands at the lowest possible cost.
The shipping cost per unit from each of the sources to each of
the destinations is shown in the following table:
Transcribed Image Text:9-13 Finnish Furniture manufactures tables in facilities located in three cities-Reno, Denver, and Pittsburgh. The tables are then shipped to three retail stores located in Phoenix, Cleveland, and Chicago. Management wishes to develop a distribution schedule that will meet the stores' demands at the lowest possible cost. The shipping cost per unit from each of the sources to each of the destinations is shown in the following table:
TO FROM
PHOENIX
CLEVELAND
CHICAGO
RENO
10
16
19
DENVER
12
14
13
PITTSBURGH
18
12
12
The available supplies are 120 units from Reno, 200 from
Denver, and 160 from Pittsburgh. Phoenix has a demand of 140
units, Cleveland has a demand of 160 units, and Chicago has a
demand of 180 units. How many units should be shipped from
each manufacturing facility to each of the retail stores if cost is
to be minimized? What is the total cost?
Transcribed Image Text:TO FROM PHOENIX CLEVELAND CHICAGO RENO 10 16 19 DENVER 12 14 13 PITTSBURGH 18 12 12 The available supplies are 120 units from Reno, 200 from Denver, and 160 from Pittsburgh. Phoenix has a demand of 140 units, Cleveland has a demand of 160 units, and Chicago has a demand of 180 units. How many units should be shipped from each manufacturing facility to each of the retail stores if cost is to be minimized? What is the total cost?
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