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(a) Consider the feasible region in R² shown below (the red shaded region). 10 x+y=8 x+y=2 -3x - y = -2 2- =4 I /2 4 8 10 12 14 -2 (i) Express the region using set notation. (ii) Find the vertices. (b) Write the feasible region CCR³, where C = {(x, y, z) | x, y, z ≥ 0, x+z< 1, z−2x ≤ 10, x+y=2z > 1}, in matrix-vector form Ax ≤ b. 00 6

(a) Consider the feasible region in R² shown below (the red shaded region). 10 x+y=8 x+y=2 -3x - y = -2 2- =4 I /2 4 8 10 12 14 -2 (i) Express the region using set notation. (ii) Find the vertices. (b) Write the feasible region CCR³, where C = {(x, y, z) | x, y, z ≥ 0, x+z< 1, z−2x ≤ 10, x+y=2z > 1}, in matrix-vector form Ax ≤ b. 00 6

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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(a) Consider the feasible region in R² shown below (the red shaded region). 10 x+y=8 x+y=2 -3x - y = -2 2- =4 I /2 4 8 10 12 14 -2 (i) Express the region using set notation. (ii) Find the vertices. (b) Write the feasible region CCR³, where C = {(x, y, z) | x, y, z ≥ 0, x+z< 1, z−2x ≤ 10, x+y=2z > 1}, in matrix-vector form Ax ≤ b. 00 6
Transcribed Image Text:(a) Consider the feasible region in R² shown below (the red shaded region). 10 x+y=8 x+y=2 -3x - y = -2 2- =4 I /2 4 8 10 12 14 -2 (i) Express the region using set notation. (ii) Find the vertices. (b) Write the feasible region CCR³, where C = {(x, y, z) | x, y, z ≥ 0, x+z< 1, z−2x ≤ 10, x+y=2z > 1}, in matrix-vector form Ax ≤ b. 00 6
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