Consider the problem:

Min	2X2 18X + 2XY + Y2 16Y + 51
s.t. X + 4Y 8

a. Find the minimum solution to this problem. If required, round your answers to two decimal places.

The optimal solution isX= ________,Y=_______, for an optimal solution value of_________.

b. If the right-hand side of the constraint is increased from 10 to 11, 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 ________.

c. Re-solve the problem with a new right-hand side of 11. 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________.