Question: Consider the problem Min 2 X 2 18 X + 2 XY + Y 2 18 Y + 54 s.t. X + 4 Y 8

Consider the problem

Min 2X2 18X + 2XY + Y2 18Y + 54
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____.

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