(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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 42E
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