Problem 12-11 (Algorithmic)

Consider the problem

Min 3X2 - 22X + 2XY + Y2 - 16Y + 60 s.t. X + 5Y 8 Find the minimum solution to this problem. If required, round your answers to two decimal places.

The optimal solution is X = fill in the blank 1 3.08 , Y = fill in the blank 2 0.98 , for an optimal solution value of fill in the blank 3 11.98 .

If the right-hand side of the constraint is increased from 8 to 9, how much do you expect the objective function to change? If required, round your answer to two decimal places.

The optimal objective function value will decrease by fill in the blank 5 .

Re-solve the problem with a new right-hand side of 9. How does the actual change compare with your estimate? If required, round your answers to two decimal places.

The new optimal objective function value is fill in the blank 6 so the actual decrease is fill in the blank 8 .