Consider the problem

Min2X2- 18X+ 2XY+Y2- 18Y+ 58s.t.X+ 4Y 8

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

Optimal solution isX=____,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.

Increase or decrease? by ______.

3) Resolve 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.

Objective function value is____ so the actualincrease or decrease is only ____ rather than ____.