$15.00 Modeling Problem
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- Posted on Jun 04, 2009 at 4:44:54PM
A:
Preview: ... ach region. For instance for the Northwest region sites 1 and 2 are available so we want<br> X1 + X2 >= 1<br><br>Why does this work? Well if either or both are 1 then the sum is 1 or 2 and the region is guaranteed to be serviced. The only way that the constraint is not satisfied is when both are 0 which means there are no sites which service the Northwest region.<br><br>We can make constraints like this for the other regions<br><br><pre><br> X1 + X2 >= 1<br> X1 + X2 + X3 >= 1<br> X1 + X3 + X4 >= 1<br> X1 + X2 >= 1<br> X1 + X4 >= 1<br></pre><br><br>The only other constraints are that the X's are 0-1 valued, we can write this as<br><br><pre><br> 0 <= X1,X2,X3,X4 <= 1<br> X1,X2,X3,X4 integers<br></pre><br><br>Ok, back to the objective function.<br><br>First, the fixed cost ...
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