1.

A Linear programming problem has the following three constraints: 27X + 27Y <= 729; 10X + 14Y= 140; and 8X - Y <= -10 . The objective function is Min 5X + 40Y . What combination of X and Y will yield the optimum solution for this problem?

a.

infeasible problem

b.

unbounded problem

c.

0 , 10

d.

0 , 10

e.

14 , 0

2.

Studies on a machine that molds plastic water pipe indicate that when it is injecting 27.28 mm diameter pipe, the process standard deviation is 0.58 mm. The pipe has a specification of 27.28 mm plus or minus 1.45 mm. What is the process capability index (Cp)?

a.

0.8333

b.

1.667

c.

2.5

d.

0.4167