First 3 parts are solved. 5-28 Consider the linear program max x1 + x2 s.t. x1 + x2 ≤ 9 -2x1 + x2 ≤ 0 x1 - 2x2 ≤ 0 x1, x2 ≥ 0 (a) Solve the problem graphically. (b) Add slacks x3,c, x5 to place the model in standard form. (c) Apply rudimentary simplex Algorithm 5A to compute an optimal solution to your standard form starting with all slacks basic. (d) Plot your progress in part (c) on the graph of part (a).
First 3 parts are solved. 5-28 Consider the linear program max x1 + x2 s.t. x1 + x2 ≤ 9 -2x1 + x2 ≤ 0 x1 - 2x2 ≤ 0 x1, x2 ≥ 0 (a) Solve the problem graphically. (b) Add slacks x3,c, x5 to place the model in standard form. (c) Apply rudimentary simplex Algorithm 5A to compute an optimal solution to your standard form starting with all slacks basic. (d) Plot your progress in part (c) on the graph of part (a).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
First 3 parts are solved.
5-28 Consider the linear program
max x1 + x2
s.t. x1 + x2 ≤ 9
-2x1 + x2 ≤ 0
x1 - 2x2 ≤ 0
x1, x2 ≥ 0
(a) Solve the problem graphically.
(b) Add slacks x3,c, x5 to place the model
in standard form.
(c) Apply rudimentary simplex Algorithm 5A
to compute an optimal solution to your
standard form starting with all slacks basic.
(d) Plot your progress in part (c) on the
graph of part (a).
(e) How can the algorithm be making progress when l = 0 if some moves of part
(c) left the solution unchanged? Explain.
5-29 Do Exercise 5-28 for the LP
max x1
s.t. 6x1 + 3x2 ≤ 18
12x1 - 3x2 ≤ 0
x1, x2 ≥ 0
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