What is the proper objective function?

Uhura Enterprises provides consulting services for customers. Consultants are brought in for two-hour shifts. A consultant will spend one full hour with a customer. The customers remain for that hour and then leave. Each consultant is paid $25 per hour. Let Xi represent the number of consultants starting their shift at hour i, (i = 1,2,3,4). The firm wishes to minimize salary costs while satisfying demand. Customer demand is as follows.



1:00-2:00 4

2:00-3:00 5

3:00-4:00 10

4:00-5:00 4

5:00-6:00 8


What is the proper objective function?


a) Min 4X1 + 5X2 + 10X3 + 4X4

b) Min 9X1 + 15X2 + 14X3 + 12X4

c) Max 9X1 + 15X2 + 14X3 + 12X4

d) Max 25X1 + 25X2 + 25X3 + 25X4

e) Min 50X1 + 50X2 + 50X3 + 50X4



Answer: e


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