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Firefighters are assigned to different 8-hour shifts (A, B, C, D, E, or F) and each shift starts at the beginning of the period
Firefighters are assigned to different 8-hour shifts (A, B, C, D, E, or F) and each shift starts at the beginning of the period shown below. For example, shift A starts at 12 am, shift B starts at 4 am, etc. Union contract requires all firefighters to work 8 consecutive hours. The wage cost for each shift, as well as the minimum number of Firefighters required for each time period, are given below. A B C D E LL F Shift 12 am-8 4 am 8 am -4 12 pm - 8 4 pm-12 8 pm am - 12 pm pm pm pm - 4 am Cost per Firefighter $160 $160 $140 $140 $160 $160 Minimum Number of Firefighters Required Period 12 am - 4 am 5 4 am 8 am - 7 8 am - 12 pm 15 12 pm - 4 pm 8 4 pm - 8 pm 12 8 pm - 12 am 9 Determine how many firefighters should be assigned to the respective shifts each day to minimize the total personnel cost while meeting the minimum number of firefighters required for each time period. Note: Include the integer constraints for number of firefighters in the model. The optimal solution is to assign the following numbers of firefighters to shift A, B, C, D, E, F and the minimum cost is $ [Select] [Select]
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