A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 5 customers per hour and an average service rate of 12 customers per hour. The average length of time customers will spend in the system is:

a.

0.1429 minutes

b.

0.05952 minutes

c.

3.571 minutes

d.

8.571 minutes

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

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