Consider the LPP of maximizing -I1 + 5x2 subject to the constraints 2x1 + 4r2 + 13 < 8, 13 > 0, 11 > 0, and 1 > r2 > 0. (a) Graph the feasible set in R. (b) Using the canonical form of this problem, find all basic feasible solutions (BFS). Hint: based on your graph from part (a), how many BFS are there? (c) Let A denote the vertex (0,0,0), B the vertex (0,0,8), and C the vertex (2,1,0) of the feasible set. Find all basic directions at cach of these vertices/BFS.
Consider the LPP of maximizing -I1 + 5x2 subject to the constraints 2x1 + 4r2 + 13 < 8, 13 > 0, 11 > 0, and 1 > r2 > 0. (a) Graph the feasible set in R. (b) Using the canonical form of this problem, find all basic feasible solutions (BFS). Hint: based on your graph from part (a), how many BFS are there? (c) Let A denote the vertex (0,0,0), B the vertex (0,0,8), and C the vertex (2,1,0) of the feasible set. Find all basic directions at cach of these vertices/BFS.
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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Transcribed Image Text:(2) Consider the LPP of maximizing -#1 + 5x2 subject to the constraints 2r1 + 4.r2 + x3 < 8,
13 > 0, #1 > 0, and 1 > #2 > 0.
(a) Graph the feasible set in R.
(b) Using the canonical form of this problem, find all basic feasible solutions (BFS). Hint:
based on your graph from part (a), how many BFS are there?
(c) Let A denote the vertex (0,0,0), B the vertex (0,0,8), and C' the vertex (2,1,0) of the
feasible set. Find all basic directions at cach of these vertices/BFS.
(d) For cach of the basic directions you foud in part (c), find the corresponding reduced
cost.
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