Consider the nonlinear optimization model stated below. Min 2x² 18x + 2XY+Y2-12Y + 53 s.t. X + 4Y ≤ 8 (a) Find the minimum solution to this problem. at (x, y) = (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? Based on the dual value on the constraint X + 4Y ≤ 8, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 9. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand-side of 9 the new optimal objective function value is , so the actual change is a decrease of rather than what we expected in part (b).

Consider the nonlinear optimization model stated below. Min 2x² 18x + 2XY+Y2-12Y + 53 s.t. X + 4Y ≤ 8 (a) Find the minimum solution to this problem. at (x, y) = (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? Based on the dual value on the constraint X + 4Y ≤ 8, we expect the optimal objective function value to decrease by (c) Resolve the problem with a new right-hand side of the constraint of 9. How does the actual change compare with your estimate? If we resolve the problem with a new right-hand-side of 9 the new optimal objective function value is , so the actual change is a decrease of rather than what we expected in part (b).

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter6: Linear Systems

Section6.CR: Chapter Review

Problem 70E: A company manufactures two fertilizers, x and y. Each 50-pound bag of fertilizer requires three...

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