Question: Consider the problem Min2X2 - 20X + 2XY + Y2 - 14Y + 58 s.t. X + 4Y 8 a. Find the minimum solution

Consider the problem

Min2X2 - 20X + 2XY + Y2 - 14Y + 58

s.t. X + 4Y ≤ 8

a. Find the minimum solution to this problem.

b. If the right-hand side of the constraint is increased from 8 to 9, how much do you expect the objective function to change?

c. Resolve the problem with a new right-hand side of 9. How does the actual change compare with your estimate?


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