Suppose a linear programming problem has a constraint of the form 3x1 + 2x2 + 5x3 - 2x4 2 12. Why can we not solve this problem using the simplex method as described up to this point? (In Section 2.3 we develop techniques for handling this situation.)
Suppose a linear programming problem has a constraint of the form 3x1 + 2x2 + 5x3 - 2x4 2 12. Why can we not solve this problem using the simplex method as described up to this point? (In Section 2.3 we develop techniques for handling this situation.)
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter12: Algebra Of Matrices
Section12.4: Systems Of Linear Inequalities Linear Programming
Problem 44PS
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Step 1
The given inequality is
The linear programming problems which satisfy the following conditions can be solved by simplex method.
(1) The inequalities in the problem are of types.
(2) The right-sides of all the constraints are positive.
(3) All the variables are strictly greater than 0.
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