Question

Consider the problem Min 3X2 – 22X + 2XY + Y2 – 16Y + 60 s.t....

Consider the problem

Min 3X2 – 22X + 2XY + Y2 – 16Y + 60
s.t. X + 5Y ≤ 8
  1. Find the minimum solution to this problem. If required, round your answers to two decimal places.

    The 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.

    The optimal objective function value will
    • increase
    • decrease
    by .
  3. Re-solve 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.

    The new optimal objective function value is so the actual
    • increase
    • decrease
    is .
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