# Linear programming

Each day, workers at the Gotham City Police Department work two 6-hour shifts chosen from midnight to 6AM, 6AM to noon, noon to 6PM and 6PM to midnight. The following numbers of workers are needed during each shift:

1. 15 from midnight to 6AM

2. 5 from 6AM to noon

3. 12 from noon to 6PM

4. 6 from 6PM to midnight

Workers whose two shifts are consecutive are paid $12 per hour, whereas workers whose shifts are not consecutive are paid $18 per hour. Determine how to minimize the cost of meeting the daily workforce demands of Gotham City police department.

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#### Solution Summary

Solution to linear programming is provided

$2.19