1. Currently, the platform has 4 agents and the utilization of the servers is 80%. (The four agents are identical in their service capabilities.) If the average wait time per customer is 10 minutes under the current setting, what will be true about the average wait time if one more agents is hired? Assume that the newly hired agent has an identical service capability with the ones who are already working. Also, assume that the demand does not change after hiring one more agent.

a. It will be less than 2.5 minutes per customer.

b. It is greater than or equal to 5 minutes per customer.

c. We do not have enough information to solve it.

d. It is greater than or equal to 2.5 minutes per customer and less than 5 minutes per customer.

2.For some constant a>0, you solve a linear programming to maximize ax+y with the following constraints; x>=0, y>=0, and x+y<=1. If your optimal x and y are that x=0 and y=1, what is true about a?

a) a>=2

b) a is bigger than 1 but less than

2. c) a<=1

3. For some constant a>0, you solve a linear programming to maximize ax+y with the following constraints; x>=0, y>=0, and x+y<=1. If your optimal x and y are that x=0.5 and y=0.5, what is true about a?

a). a>1

b). a<1

c.) a=1