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.)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text: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.)
Expert Solution

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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