Uhura Enterprises Provides Consulting Services for Customers

Multiple Choice

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 X_i 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