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Consider the following LP problem: Min 12X+ 33Y; Subject to : 4 X + 11Y

Consider the following LP problem: Min 12X+ 33Y; Subject to : 4 X + 11Y <= 48, and X + Y <= 144. Which one of the following is true?:

a.

X=72, Y=72 is the only optimal solution.

b.

Slack for each constraint is zero.

c.

Optimal Obj. function value is 144

d.

Optimal Obj. function value is 0

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