Universal Claims Processors processes insurance claims for large national insurance companies. Most claim processing is done by a large pool ofcomputer operators, some of whom are permanent and some of whom are temporary. A permanent operator can process 16 claims per day,whereas a temporary operator can process 12 per day, and on average the company processes at least 450 claims each day. The company has 40computer workstations. A permanent operator generates about 0.5 claims with errors each day, whereas a temporary operator averages about 1.4defective claims per day. The company wants to limit claims with errors to 25 per day. A permanent operator is paid $64 per day, and a temporaryoperator is paid $42 per day. The company wants to determine the number of permanent and temporary operators to hire in order to minimizecosts. explain the effect on the optimal solution if the minimum number of claims the firm processes each day increased from 450 to at least 650.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter4: Linear Programming Models
Section: Chapter Questions
Problem 107P
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Universal Claims Processors processes insurance claims for large national insurance companies. Most claim processing is done by a large pool of
computer operators, some of whom are permanent and some of whom are temporary. A permanent operator can process 16 claims per day,
whereas a temporary operator can process 12 per day, and on average the company processes at least 450 claims each day. The company has 40
computer workstations. A permanent operator generates about 0.5 claims with errors each day, whereas a temporary operator averages about 1.4
defective claims per day. The company wants to limit claims with errors to 25 per day. A permanent operator is paid $64 per day, and a temporary
operator is paid $42 per day. The company wants to determine the number of permanent and temporary operators to hire in order to minimize
costs. explain the effect on the optimal solution if the minimum number of claims the firm processes each day increased from 450 to at
least 650.

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