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A major airport has high needs in maintenance personal. Shifts are six hours long and start every three hours throughout the day for all 24h.

A major airport has high needs in maintenance personal. Shifts are six hours long and start every three hours throughout the day for all 24h. The airport needs technicians for mechanical and electrical issues. Required minimum numbers of technicians in each area are given below. Mechanical technician hours cost $35, electrical technician hours cost $45. How should the technicians be scheduled to minimize costs while having at least the minimum number of technicians per shift? Build and solve the respective LP model in Excel.

Shift

Mechanics

Electricians

12am to 4am

30

15

4am to 8am

120

95

8am to 12 pm

240

185

12 pm to 4pm

180

155

4pm to 8pm

220

200

8pm to 12am

60

40

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