A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 6 customers per hour and an average service rate of 12 customers per hour. What is the probability that a customer waits 5 minutes or more in the line?

a.

0.5

b.

0.3033

c.

0.6967

d.

0.5

A decision problem has the following three constraints: 17X + 60Y <= 1020; 14X + 22Y= 308; and 19X - Y <= 319.81818 . The objective function is Min 16X + 35Y . The objective function value is :

a. 766.72729

b. 383.36365

c. unbounded

d. infeasible

e. 0

Passengers arrive at the immigration counter at a rate of one every 2 minutes, and processing their documents takes an average of 5 minutes each. There are 4 employees on duty. If a passenger isn't served immediately, how long on average would the passenger have to wait for service?

a. 0.198 minutes

b. 3.333 minutes

c. 1.667 minutes

d. 4.167 minutes