Consider the problem Min 3x²-22X + 2XY+2-16Y + 60 s.t. X+5Y ≤ 8 a. Find the minimum solution to this problem. If required, round your answers to two decimal places. The optimal solution is X= for an optimal solution value of b. 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 A c. 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 The new optimal objective function value is so the actual ( by decimal places.

Consider the problem Min 3x²-22X + 2XY+2-16Y + 60 s.t. X+5Y ≤ 8 a. Find the minimum solution to this problem. If required, round your answers to two decimal places. The optimal solution is X= for an optimal solution value of b. 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 A c. 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 The new optimal objective function value is so the actual ( by decimal places.

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

Problem 12-11 (Algorithmic)
Consider the problem
Min 3x² - 22X + 2XY+ 2 - 16Y + 60
s.t. X + 5Y S8
a. Find the minimum solution to this problem. If required, round your answers to two decimal places.
-C
for an optimal solution value of
b. 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
c. 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
The optimal solution is X =
by
so the actual

Expert Solution

Step 1: Description of given data:

We have given:

Objective function

Min. $3 x squared minus 22 x plus 2 x y plus y squared minus 16 y plus 60$

Subjected to constraint:

$x plus 5 y less or equal than 8$

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