Question: simplex method maximize 7x1+6x2 subject to 2x1+x2

simplex method

maximize 7x1+6x2

subject to 2x1+x2<=0

x1+4x2<=4

x1, x2>=0

using simplex method tableau

(1) what is the reduced cost coefficient If we decide to use x1 as a part of a basic solution

(2) In the next step, which variable do we want to use as a basic solution, why?

(3) find the reduced cost coefficient considering basic variable in part (2), Do we want to proceed further? why?

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