Problem 8-02 (Algorithmic)

Consider the problem

Min	2X2 14X + 2XY + Y2 18Y + 50
s.t.	X + 4Y 8

A. Find the minimum solution to this problem. If required, round your answers to two decimal places. Optimal solution is X =----- , Y =-------- , for an optimal solution value of------- .

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? If required, round your answer to two decimal places. Decrease by--------- .

C. 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 actual decrease is only------ rather than---------