Consider the following LP problem with two constraints: 6X + 32Y >= 192 and 4X + 24Y >= 96. The objective function is Max 9X + 26Y . What combination of X and Y will yield the optimum solution for this problem?

a.

0 , 4

b.

24 , 0

c.

infeasible problem

d.

20 , 0.666667

e.

unbounded problem

A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 9 customers per hour and an average service rate of 15 customers per hour. What is the probability that a customer waits 4 minutes or more in the line?

a.

0.5978

b.

0.4022

c.

0.6

d.

0.4

Consider the following LP problem with two constraints: 6X + 32Y >= 192 and 4X + 24Y >= 96. The objective function is Max 9X + 26Y . What combination of X and Y will yield the optimum solution for this problem?

a.

0 , 4

b.

24 , 0

c.

infeasible problem

d.

20 , 0.666667

e.

unbounded problem