(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 for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.CR: Review Problem Set
Problem 35CR: Maximize the function fx,y=7x+5y in the region determined by the constraints of Problem 34.
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