CAMMIMS16 8. E.002. Consider the nonlinear optimization model stated below. Min 2+² -18x + 2xY+Y²-16Y+ 53 s.t. x +4Y ≤ 6 (a) Find the minimum solution to this problem. at (x, y) = (, ) (b) If the right hand side of the constraint is increased from 6 to 7, how much do you expect the objective function to change? Based on the dual value on the constraint.x + 4Y ≤ 6, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 7. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand - side of 7 the new optimal objective function value is part (b). 4. DETAILS CAMMIMS16 8.E.002. Consider the nonlinear optimization model stated below. 2x2 18x + 2XY+Y16Y+53 X+ 4y = 6 (a) Find the minimum solution to this problem. at (x, y) = Min s.t. J C (b) If the right-hand side of the constraint is increased from 6 to 7, how much do you expect objective function to change? Based on the dual value on the constraint X + 4Y S 6, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 7. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand-side of 7 the new optimal objective function value is part (b). , so the actual change is a decrease of MY NOTES ASK YOUR TEACHER rather than what we expected in 1
CAMMIMS16 8. E.002. Consider the nonlinear optimization model stated below. Min 2+² -18x + 2xY+Y²-16Y+ 53 s.t. x +4Y ≤ 6 (a) Find the minimum solution to this problem. at (x, y) = (, ) (b) If the right hand side of the constraint is increased from 6 to 7, how much do you expect the objective function to change? Based on the dual value on the constraint.x + 4Y ≤ 6, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 7. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand - side of 7 the new optimal objective function value is part (b). 4. DETAILS CAMMIMS16 8.E.002. Consider the nonlinear optimization model stated below. 2x2 18x + 2XY+Y16Y+53 X+ 4y = 6 (a) Find the minimum solution to this problem. at (x, y) = Min s.t. J C (b) If the right-hand side of the constraint is increased from 6 to 7, how much do you expect objective function to change? Based on the dual value on the constraint X + 4Y S 6, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 7. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand-side of 7 the new optimal objective function value is part (b). , so the actual change is a decrease of MY NOTES ASK YOUR TEACHER rather than what we expected in 1
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Transcribed Image Text:CAMMIMS16 8. E.002. Consider the nonlinear optimization model stated below. Min
2x² - 18x + 2xY+Y²-16Y+53s.t. x+4Y ≤ 6 (a) Find the minimum solution to this problem. at (x, y) = (, ) (b) If
the right-hand side of the constraint is increased from 6 to 7, how much do you expect the objective function to
change? Based on the dual value on the constraint.x + 4Y ≤ 6, we expect the optimal objective function value to
decrease by (c) Resolve the problem with a new right-hand side of the constraint of 7. How does the actual change
compare with your estimate? If we resolve the problem with a new right-hand - side of 7 the new optimal objective
function value is part (b).
DETAILS CAMMIMS16 8.E.002.
Consider the nonlinear optimization model stated below
Min 2x2 18x + 2XY+Y²-16Y+ 53
s.t.
X + 4y s 6
(a) Find the minimum solution to this problem.
-([
at (x, y) =
J
G
(b) If the right-hand side of the constraint is increased from 6 to 7, how much do you expect the objective function to change?
Based on the dual value on the constraint X + 4Y S 6, we expect the optimal objective function value to decrease by
1
(c) Resolve the problem with a new right-hand side of the constraint of 7. How does the actual change compare with your estimate?
If we resolve the problem with a new right-hand-side of 7 the new optimal objective function value is
part (b).
so the actual change is a decrease of
1
MY NOTES
ASK YOUR TEACHER
rather than what we expected in
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