Consider the minimum cost flow problem shown below, where the bi values are given by the nodes, the Cij values are given by the arcs, and the finite lij values are given in parentheses by the arcs. [125] A 2 B [200] 9 6 3 8 (UAD = 100) [0] (UBE = 100) 5 8 [-175] D E [-150] (a) Obtain an initial BF solution by solving the feasible spanning tree with basic arcs A → C, B → A, C → › D, and C → E. All nonbasic arc has xij = 0 except XAD = 100. (b) Use the network simplex method to solve this problem. What is the total cost of the optimal solution?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 54E
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Consider the minimum cost flow problem shown below, where the bį values are given by the nodes,
the
Cij values are given by the arcs, and the finite u¡j values are given in parentheses by the arcs.
[125]
A
2
B
[200]
9
6
3
8
(UAD = 100)
[0]
(UBE = 100)
5
8
[-175]
D
E
[-150]
(a) Obtain an initial BF solution by solving the
feasible spanning tree with basic arcs A C,
B - → A, C → D, and C → E. All nonbasic arc
has Xij
= 0 except XAD = 100.
(b) Use the network simplex method to solve this
problem. What is the total cost of the optimal
solution?
Transcribed Image Text:Consider the minimum cost flow problem shown below, where the bį values are given by the nodes, the Cij values are given by the arcs, and the finite u¡j values are given in parentheses by the arcs. [125] A 2 B [200] 9 6 3 8 (UAD = 100) [0] (UBE = 100) 5 8 [-175] D E [-150] (a) Obtain an initial BF solution by solving the feasible spanning tree with basic arcs A C, B - → A, C → D, and C → E. All nonbasic arc has Xij = 0 except XAD = 100. (b) Use the network simplex method to solve this problem. What is the total cost of the optimal solution?
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