Suppose a primal minimization problem and its dual maximization problem were solved by using the simplex method on the dual problem, and the final simplex matrix is given. 1 0 0 0 - 1 음 1 5 2 n|N 5 0 4 0 -3 1-2 205 - - 11 14 5 4 —— 00 17 10 27 00 28 5 7 0 1 440 (a) Find the solution of the minimization problem. Use Y1, Y2, Y3 as the variables and g as the function. Y1 = Y2 = Y3 = g = 440 (b) Find the solution of the maximization problem. Use X₁, X2, X3 as the variables and f as the function. X1 = x2 = x3 = f =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.7: The Inverse Of A Matrix
Problem 32E
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Suppose a primal minimization problem and its dual maximization problem were solved by using the simplex method on the dual
problem, and the final simplex matrix is given.
1
0
0
0
+in
4
5
=//
2
5
0 4 -
0 -3
440
1-2
205
-
11
5
14
5
4
0 0 17
ܗ
10
27
00 28
5
7 0 1440
(a) Find the solution of the minimization problem. Use y₁, Y2, Y3 as the variables and g as the function.
Y1 =
Y2 =
Y3 =
g =
(b) Find the solution of the maximization problem. Use X₁, X2, X3 as the variables and f as the function.
X1 =
x2 =
X3 =
f =
Transcribed Image Text:Suppose a primal minimization problem and its dual maximization problem were solved by using the simplex method on the dual problem, and the final simplex matrix is given. 1 0 0 0 +in 4 5 =// 2 5 0 4 - 0 -3 440 1-2 205 - 11 5 14 5 4 0 0 17 ܗ 10 27 00 28 5 7 0 1440 (a) Find the solution of the minimization problem. Use y₁, Y2, Y3 as the variables and g as the function. Y1 = Y2 = Y3 = g = (b) Find the solution of the maximization problem. Use X₁, X2, X3 as the variables and f as the function. X1 = x2 = X3 = f =
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