Question: Consider the problem Min 2 X 2 18 X + 2 XY + Y 2 18 Y + 58 s.t. X + 4 Y 8

Consider the problem

Min 2X2 18X + 2XY + Y2 18Y + 58
s.t. X + 4Y 8
  1. 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 ____
  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 actual [Increase(?) or Decrease(?)] is only ___ rather than ___. Please provide the correct Increase/Decrease selections as well as fill in the blanks for questions a, b, and c. Much appreciated! (Update - This is the question in full, no additional info can be added)

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