Excellent Co. Ltd was incorporated in 2001 and has currently 4 zones (namely, North, South, East, and West) open and 4 supervisors available for assignment. It is estimated that a typical supervisor operating in each zone would bring in the following annual turnover:   North: 126,000; South: 105,000; East: 84,000; West: 63,000   The 4 supervisors are also considered to differ in supervisory competencies. It is estimated that working under the same conditions, the company’s yearly turnover would be proportionately as follows:   Supervisor I: 7; Supervisor II: 5; Supervisor III: 5; Supervisor IV: 4   How should the company allocate the best supervisor to the various zones in order to maximize its total annual turnover?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter12: Queueing Models
Section: Chapter Questions
Problem 59P
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Excellent Co. Ltd was incorporated in 2001 and has currently 4 zones (namely, North, South, East, and West) open and 4 supervisors available for assignment. It is estimated that a typical supervisor operating in each zone would bring in the following annual turnover:

 

North: 126,000; South: 105,000; East: 84,000; West: 63,000

 

The 4 supervisors are also considered to differ in supervisory competencies. It is estimated that working under the same conditions, the company’s yearly turnover would be proportionately as follows:

 

Supervisor I: 7; Supervisor II: 5; Supervisor III: 5; Supervisor IV: 4

 

How should the company allocate the best supervisor to the various zones in order to maximize its total annual turnover?                                                                                                                                                 [5]

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