The simplex method can be used to solve any standard maximization problem. Which of the following minimization problems have dual problems that are standard maximization problems? (Do not solve the problems.) A Minimize C = 2 x 1 + 3 x 2 subject to 2 x 1 − 5 x 2 ≥ 4 x 1 − 3 x 2 ≥ − 6 x 1 , x 2 ≥ 0 B Minimize C = 2 x 1 − 3 x 2 subject to − 2 x 1 + 5 x 2 ≥ 4 − x 1 + 3 x 2 ≥ 6 x 1 , x 2 ≥ 0 What conditions must a minimization problem satisfy so that its dual problem is a standard maximization problem?
The simplex method can be used to solve any standard maximization problem. Which of the following minimization problems have dual problems that are standard maximization problems? (Do not solve the problems.) A Minimize C = 2 x 1 + 3 x 2 subject to 2 x 1 − 5 x 2 ≥ 4 x 1 − 3 x 2 ≥ − 6 x 1 , x 2 ≥ 0 B Minimize C = 2 x 1 − 3 x 2 subject to − 2 x 1 + 5 x 2 ≥ 4 − x 1 + 3 x 2 ≥ 6 x 1 , x 2 ≥ 0 What conditions must a minimization problem satisfy so that its dual problem is a standard maximization problem?
Solution Summary: The author explains that the dual problem is a standard maximization problem.
The simplex method can be used to solve any standard maximization problem. Which of the following minimization problems have dual problems that are standard maximization problems? (Do not solve the problems.)
A
Minimize
C
=
2
x
1
+
3
x
2
subject to
2
x
1
−
5
x
2
≥
4
x
1
−
3
x
2
≥
−
6
x
1
,
x
2
≥
0
B
Minimize
C
=
2
x
1
−
3
x
2
subject to
−
2
x
1
+
5
x
2
≥
4
−
x
1
+
3
x
2
≥
6
x
1
,
x
2
≥
0
What conditions must a minimization problem satisfy so that its dual problem is a standard maximization problem?
Solve the following problem by using the Simplex approach:
Maximize Z = 4X1 – 6X2
Subject to:
3X1 + 2X2 > 6
2X1 + X2 < 2
3X1 – 2X2 < 4
all variables > 0
Please provide detailed explanation.
please help me
Chapter 6 Solutions
Finite Mathematics for Business, Economics, Life Sciences and Social Sciences
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