1.

A decision problem has the following three constraints: 15X + 20Y <= 300; 12X + 9Y= 108; and 15X - Y <= 118.66666 . The objective function is Min 5X + 29Y . The objective function value is :

a.

infeasible

b.

0

c.

unbounded

d.

78.666672

e.

157.33334

2.

A single server queuing system with a Poisson arrival rate and exponential service time has an average arrival rate of 12 customers per hour and an average service rate of 19 customers per hour. The probability of 2 customers in the system is :

a.

0.3684

b.

0.147

c.

0.6011

d.

0.853