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How to determine all the basic solutions of an optimization problem, and classify them as feasible...

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Question

Advance Math

How to determine all the basic solutions of an optimizationproblem, and classify them as feasible or infeasible?

As an example,

Maximize z= 2x1 + 3x2

Subject to:

x1 + 3x2 <= 6

3x1 + 2x2 <= 6

x1 + x2 >= 0

Some solutions are (2,0), (0,2), (0,0), (6/7, 12/7), but arethere more solutions? And how do you tell if they areinfeasile/feasible? Would you need to graph it?

Answer & Explanation Solved by verified expert
3.9 Ratings (682 Votes)
The basic solutions are the solutions which solve any of theconstraints However feasible solutions are which satisfy allconstraintsSo the basic solutions    See Answer
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