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1.54. (!) Let S = {(x, y) = R²: y ≤ x and x + 3y ≥ 8 and x ≤ 8). E a) Graph the set S. b) Find the minimum value of x + y such that (x, y) e S. (Hint: On the graph From part (a), sketch the level sets of the function f defined by f(x, y) = x + y.)

1.54. (!) Let S = {(x, y) = R²: y ≤ x and x + 3y ≥ 8 and x ≤ 8). E a) Graph the set S. b) Find the minimum value of x + y such that (x, y) e S. (Hint: On the graph From part (a), sketch the level sets of the function f defined by f(x, y) = x + y.)

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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1.54. (!) Let S = {(x, y) e R²: y ≤ x and x + 3y ≥ 8 and x ≤ 8). a) Graph the set S. b) Find the minimum value of x + y such that (x, y) e S. (Hint: On the graph from part (a), sketch the level sets of the function f defined by f(x, y) = x + y.)
Transcribed Image Text:1.54. (!) Let S = {(x, y) e R²: y ≤ x and x + 3y ≥ 8 and x ≤ 8). a) Graph the set S. b) Find the minimum value of x + y such that (x, y) e S. (Hint: On the graph from part (a), sketch the level sets of the function f defined by f(x, y) = x + y.)
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