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Consider the following linear optimization problem: 2.5x + 4.2 y Maximize x,y ER Subject to - 2x +y ≤4 5x+4y ≤ 20 x + 2y ≥ 2 0≤x≤2. ) Plot the feasible set for the above optimization problem. y x ) Now suppose variable y must be an integer number. Plot the new feasible set.

Consider the following linear optimization problem: 2.5x + 4.2 y Maximize x,y ER Subject to - 2x +y ≤4 5x+4y ≤ 20 x + 2y ≥ 2 0≤x≤2. ) Plot the feasible set for the above optimization problem. y x ) Now suppose variable y must be an integer number. Plot the new feasible set.

Advanced Engineering Mathematics
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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1. Consider the following linear optimization problem: Maximize 2.5x + 4.2 y x, y ER Subject to 2x + y ≤ 4 5x + 4y ≤ 20 x + 2y ≥ 2 0 ≤x≤ 2. (a) Plot the feasible set for the above optimization problem. y x (b) Now suppose variable y must be an integer number. Plot the new feasible set. y x
Transcribed Image Text:1. Consider the following linear optimization problem: Maximize 2.5x + 4.2 y x, y ER Subject to 2x + y ≤ 4 5x + 4y ≤ 20 x + 2y ≥ 2 0 ≤x≤ 2. (a) Plot the feasible set for the above optimization problem. y x (b) Now suppose variable y must be an integer number. Plot the new feasible set. y x
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