ScholarMatic: Explanation & Answer
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Consider the problem
| Min | 2X2 – 22X + 2XY + Y2 – 12Y + 65 |
| s.t. | X + 4Y ≤ 8 |
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
?.
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.
Increases/decreases by ?
.
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/decrease is only
? rather than ? .
question marks are where answers go.
ScholarMatic: Explanation & Answer
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