A university computer center is open from 8 AM until midnight. The numbers of computer consultants required are given in the table.   Time of Day Minimum Number of Consultants Required 8 AM -noon 4 Noon – 4 PM 10 4 PM – 8 PM 8 8 PM - Midnight 6   The computer consultants work for eight consecutive hours in either one of the following three shifts: morning (8 AM – 4 PM), afternoon (noon – 8 PM), and evening (4 PM – Midnight), with daily payments of $120, $160 and $190, respectively. The goal is to find the staff scheduling plan with the minimum payroll cost.   Formulate this problem as a linear programming model.

Practical Management Science
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A university computer center is open from 8 AM until midnight. The numbers of computer consultants required are given in the table.

 

Time of Day

Minimum Number of Consultants Required

8 AM -noon

4

Noon – 4 PM

10

4 PM – 8 PM

8

8 PM - Midnight

6

 

The computer consultants work for eight consecutive hours in either one of the following three shifts: morning (8 AM – 4 PM), afternoon (noon – 8 PM), and evening (4 PM – Midnight), with daily payments of $120, $160 and $190, respectively. The goal is to find the staff scheduling plan with the minimum payroll cost.

 

Formulate this problem as a linear programming model. 

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