11-A Linear programming problem has the following three constraints: 5X + 11Y <= 55; 2X + 10Y= 20; and 17X - Y <= 101.2 . The objective function is Min 24X + 24Y . What combination of X and Y will yield the optimum solution for this problem?

a.

infeasible problem

b.

0 , 2

c.

10 , 0

d.

6 , 0.8

e.

unbounded problem

10-Consider the following LP problem: Min 4X+ 16Y Subject to : 2 X + 8Y => 44, and X + Y <= 132. Pick a suitable statement for this problem:

a.

Optimal Obj. function value is 88

b.

X = 0, Y = 0 is the only optimal solution.

c.

X=66, Y=66 is the only optimal solution.

d.

Optimal Obj. function value is 0

9-Customers arrive at a video rental desk at the rate of 14 per minute(Poisson).Each server can handle 10.1 customers per minute(Poisson). If there are 6 servers, determine the average time it takes to rent a video tape.

a.

0.001 minutes

b.

0 minutes

c.

0.099 minutes

d.

0.059 minutes