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Can we apply simplex method if one or more equation are equal to zero. tell me full criteria my question example is as follows:

Maximize: $z=135x+50y$, subject to:

$$\begin{align} 2x+\frac{1}{2}y&=32 \\ 4x-y&=0 \\ 4x+y&=64 \\ \end{align}$$

Tell me its full criteria to solve it I want to confirm it now .

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please reply me i am new in this web and have no good knowledge of linear programming –  Rania Umair Aug 1 '12 at 14:00
    
In the most general formulation, simplex methods deals with both equality and inequality constraints. In your case, where all constraints are equalities, you may be better off simplifying by Gaussian Elimination instead. –  gt6989b Aug 1 '12 at 14:31
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Also note that your first and last constraints are equivalent (multiply the first by 2 to get the last). –  Shaktal Aug 1 '12 at 14:32
    
you can try linear programming method,sketch graph of each constraints,find intersection area and take boundary vertexes –  dato datuashvili Aug 1 '12 at 14:39
    
maximum is at point $16$ and $64$ and it is equal to $5360$ –  dato datuashvili Aug 1 '12 at 14:58

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