Widgetco manufactures widgets at two factories, one in Memphis and one in Denver. The Memphis factory can produce as many as 150 widgets per day, and the Denver factory can produce as many as 200 widgets per day. Widgets are shipped by air to customers in Los Angeles and Boston. The customers in each city require 130 widgets per day. Because of the deregulation of airfares, Widgetco believes that it may be cheaper to first fly some widgets to New York or Chicago and then fly them to their final destinations. The costs of flying a widget are shown below. Widgetco wants to minimize the total cost of shipping the required widgets to its customers.

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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Widgetco manufactures widgets at two factories, one in Memphis and one in Denver. The
Memphis factory can produce as many as 150 widgets per day, and the Denver factory can
produce as many as 200 widgets per day. Widgets are shipped by air to customers in Los
Angeles and Boston. The customers in each city require 130 widgets per day. Because of the
deregulation of airfares, Widgetco believes that it may be cheaper to first fly some widgets to
New York or Chicago and then fly them to their final destinations. The costs of flying a
widget are shown below. Widgetco wants to minimize the total cost of shipping the required
widgets to its customers.
To ($)
New
Los
Memphis
Denver
Chicago
Boston
York
Angeles
Memphis
8
13
25
28
Denver
15
12
26
25
New
16
17
York
From
Chicago
6
14
16
Los
Angeles
Boston
Formulate the linear programming model of the transshipment problem.
6
Transcribed Image Text:Widgetco manufactures widgets at two factories, one in Memphis and one in Denver. The Memphis factory can produce as many as 150 widgets per day, and the Denver factory can produce as many as 200 widgets per day. Widgets are shipped by air to customers in Los Angeles and Boston. The customers in each city require 130 widgets per day. Because of the deregulation of airfares, Widgetco believes that it may be cheaper to first fly some widgets to New York or Chicago and then fly them to their final destinations. The costs of flying a widget are shown below. Widgetco wants to minimize the total cost of shipping the required widgets to its customers. To ($) New Los Memphis Denver Chicago Boston York Angeles Memphis 8 13 25 28 Denver 15 12 26 25 New 16 17 York From Chicago 6 14 16 Los Angeles Boston Formulate the linear programming model of the transshipment problem. 6
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