Given the simplex matrix below that is complete. Identify the maximum value of f and the set of variables that gives this maximum value. 7/4 19/12 1 0 5/12 -1/12 0 0 0 -1/4 -3/4 0 1 -1/4 1/4 0 0 0 -19/4 -47/12 0 0 -13/12 -7/12 100 -7/2 1/6 0 0 -7/6 -1/6 0 1 0 11 300 2 1001 9/2 3/2 23/2 7 51 -

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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Given the simplex matrix below that is complete.
Identify the maximum value of f and the set of variables
that gives this maximum value.
7/4
19/12 1 0
5/12 -1/12 0 0 0
-1/4
-3/4 0 1
-1/4
1/4 0 0 0
-19/4 -47/12 0 0 -13/12 -7/12 100
-7/2
1/6 0 0 -7/6 -1/6 0 1 0
11
300
1001
List the solution:
x1 =
x2
||
x3
x3 is not needed
X4=
x4 is not needed
f =
2
9/2
3/2
23/2
7
51
Transcribed Image Text:Given the simplex matrix below that is complete. Identify the maximum value of f and the set of variables that gives this maximum value. 7/4 19/12 1 0 5/12 -1/12 0 0 0 -1/4 -3/4 0 1 -1/4 1/4 0 0 0 -19/4 -47/12 0 0 -13/12 -7/12 100 -7/2 1/6 0 0 -7/6 -1/6 0 1 0 11 300 1001 List the solution: x1 = x2 || x3 x3 is not needed X4= x4 is not needed f = 2 9/2 3/2 23/2 7 51
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