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In: Statistics and Probability

Problem 8-02 (Algorithmic) Consider the problem Min   2X2 – 14X + 2XY + Y2 – 18Y...

Problem 8-02 (Algorithmic)

Consider the problem

Min   2X2 – 14X + 2XY + Y2 – 18Y + 45
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.

    ______ 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 _____ is only _____ rather than______ .

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Expert Solution

orchestra answered 1 year ago
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