ompanies throughout the country, and you currently have support centers at 5 locations ever, due to a poor market, you have been forced to close your centers in Houston and o. You will have to relocate all of your technicians in these two centers to your other thr ers in Cleveland, Seattle, and Charlotte. Due to the varying costs of living in each city, an el and retraining times, the cost for relocating an employee varies depending on where t loyee is moving. These costs are given in the following table: To:

Practical Management Science
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ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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2.) Your business provides technical support for very complex and specialized machinery used
by companies throughout the country, and you currently have support centers at 5 locations.
However, due to a poor market, you have been forced to close your centers in Houston and San
Diego. You will have to relocate all of your technicians in these two centers to your other three
centers in Cleveland, Seattle, and Charlotte. Due to the varying costs of living in each city, and
travel and retraining times, the cost for relocating an employee varies depending on where the
employee is moving. These costs are given in the following table:
To:
From:
Cleveland
Seattle
Charlotte
$5,000
| $7,000
$7,000
$4,000
$6,000
$8,000
Houston
San Diego
You currently have 40 employees in Houston and 55 employees in San Diego, which all need to
be relocated. Cleveland is able to take in at most 35 relocated employees, Seattle can take in at
most 32 employees, and Charlotte is able to take in at most 50 employees. You must decide
where you should relocate each of your employees to minimize your total costs.
Formulate the problem, giving the decision variables, objective function, and constraints (i.e.,
give the mathematical model). Important Note: Begin by clearly defining the decision
variables. (Note: you do not have to solve this linear programming problem.)
Transcribed Image Text:2.) Your business provides technical support for very complex and specialized machinery used by companies throughout the country, and you currently have support centers at 5 locations. However, due to a poor market, you have been forced to close your centers in Houston and San Diego. You will have to relocate all of your technicians in these two centers to your other three centers in Cleveland, Seattle, and Charlotte. Due to the varying costs of living in each city, and travel and retraining times, the cost for relocating an employee varies depending on where the employee is moving. These costs are given in the following table: To: From: Cleveland Seattle Charlotte $5,000 | $7,000 $7,000 $4,000 $6,000 $8,000 Houston San Diego You currently have 40 employees in Houston and 55 employees in San Diego, which all need to be relocated. Cleveland is able to take in at most 35 relocated employees, Seattle can take in at most 32 employees, and Charlotte is able to take in at most 50 employees. You must decide where you should relocate each of your employees to minimize your total costs. Formulate the problem, giving the decision variables, objective function, and constraints (i.e., give the mathematical model). Important Note: Begin by clearly defining the decision variables. (Note: you do not have to solve this linear programming problem.)
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