Problem 12-11 (Algorithmic)

Consider the problem

Min	2X2 20X + 2XY + Y2 14Y + 58
s.t.	X + 4Y 8

1. Find the minimum solution to this problem. If required, round your answers to two decimal places. The optimal solution is X = ____, Y = ____, for an optimal solution value of ____.
2. 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

   increase/decrease by ____

3. 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 ____ so the actual

   increase/decrease is ____