
<A NAME=simplex>

<TITLE>simplex</TITLE></A>
<b><a href=r37_idx.html>INDEX</a></b><p><p>



<B>SIMPLEX</B> _ _ _  _ _ _  _ _ _  _ _ _ <B>operator</B><P>
<P>
 
<P>
<P>
 <P> <H3> 
syntax: </H3>
<em>simplex</em>(&lt;max/min&gt;,&lt;objective function&gt;, 
{&lt;linear inequalities&gt;}) 
<P>
<P>
<P>
&lt;max/min&gt; :- either max or min (signifying maximize and 
			 minimize). 
<P>
<P>
&lt;objective function&gt; :- the function you are maximizing or 
			 minimizing. 
<P>
<P>
&lt;linear inequalities&gt; :- the constraint inequalities. Each one must 
 be of the form sum of variables ( 
 &lt;=,=,&gt;=) number. 
<P>
<P>
<em>simplex</em>applies the revised simplex algorithm to find the 
optimal(either maximum or minimum) value of the 
&lt;objective function&gt; under the linear inequality constraints. 
<P>
<P>
It returns {optimal value,{ values of variables at this optimal}}. 
<P>
<P>
The algorithm implies that all the variables are non-negative. 
<P>
<P>
 <P> <H3> 
examples: </H3>
<P><PRE><TT>

 simplex(max,x+y,{x&gt;=10,y&gt;=20,x+y&lt;=25}); 


   ***** Error in simplex: Problem has no feasible solution



simplex(max,10x+5y+5.5z,{5x+3z&lt;=200,x+0.1y+0.5z&lt;=12,
0.1x+0.2y+0.3z&lt;=9, 30x+10y+50z&lt;=1500}); 


  {525.0,{x=40.0,y=25.0,z=0}}

</TT></PRE><P>