6. The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to three regions - the South, the East, and the Midwest. A salesperson in the South earns $600 in profit per month of the company, a salesperson in the East earns $540, and a salesperson in the Midwest earns $375. The southern region can have a maximum assignment of 5 salespeople. The company has a total of $750 per day available for expenses for all 12 salespeople. A salesperson in the South has average expenses of $80 per day, a salesperson in the East has average expenses of $70 per day, and a salesperson in the Midwest has average daily expenses of $50. The company wants to determine the number of salespeople to assign to each region to maximize profit. Formulate an integer programming model for this problem b. Solve this model by using the computer.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter6: Optimization Models With Integer Variables
Section: Chapter Questions
Problem 79P
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6. The Livewright Medical Supplies Company has a total of 12 salespeople it wants
to assign to three regions - the South, the East, and the Midwest. A salesperson in the
South earns $600 in profit per month of the company, a salesperson in the East earns
$540, and a salesperson in the Midwest earns $375. The southern region can have a
maximum assignment of 5 salespeople. The company has a total of $750 per day
available for expenses for all 12 salespeople. A salesperson in the South has average
expenses of $80 per day, a salesperson in the East has average expenses of $70 per
day, and a salesperson in the Midwest has average daily expenses of $50. The
company wants to determine the number of salespeople to assign to each region to
maximize profit.
a.
Formulate an integer programming model for this problem
b.
Solve this model by using the computer.
Transcribed Image Text:6. The Livewright Medical Supplies Company has a total of 12 salespeople it wants to assign to three regions - the South, the East, and the Midwest. A salesperson in the South earns $600 in profit per month of the company, a salesperson in the East earns $540, and a salesperson in the Midwest earns $375. The southern region can have a maximum assignment of 5 salespeople. The company has a total of $750 per day available for expenses for all 12 salespeople. A salesperson in the South has average expenses of $80 per day, a salesperson in the East has average expenses of $70 per day, and a salesperson in the Midwest has average daily expenses of $50. The company wants to determine the number of salespeople to assign to each region to maximize profit. a. Formulate an integer programming model for this problem b. Solve this model by using the computer.
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