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Consider the problem
Min 2X² - 15X + 2XY + Y² - 20Y + 65
s.t. X + 3Y ≤ 10
a) Find the minimum solution to this problem. If required, round your answer to two decimal places.
The optimal solution is X = _____________, Y = ______________, for an optimal solution value of ____________.
b) If the right-hand side of the constraint is increased from 1 0 to 11, 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 _____________ by ____________.
c) Re-solve the problem with a new right-hand side of 11. 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 ______________ sot he actual _______________ is _____________.

Sagot :

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