The Air Force will begin operating a 24-hour-a-day shipping distribution center in Dayton Ohio. The distribution center plans to employ workers during six shifts throughout a 24-hour period. The minimum required number of employees for each shift is provided in the table below. All employees will work two, and only two, consecutive shifts per 24-hour period; each shift is four hours long. Assume that each employee will work the same two shifts every day. All employees are paid at the same basic hourly rate, i.e., $40 per hour. However, there is a 20% premium for each hour worked in shift #1, #5, and #6.

Formulate a Linear Programming Model (Include Decision Variables, Objective Function, and Constraints) that will minimize the total daily labor cost of the center while meeting the employment needs of the shipping distribution center.

Shift #	1	2	3	4	5	6
Period	0200-0600	0600-1000	1000-1400	1400-1800	1800-2200	2200-0200
Minimum # of Employees Needed	5	15	12	10	19	7