third_party/cddlib/examples-ml/cddml-DietProblem.nb

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  "\nAn Application of Vertex Enumeration\nwith ",
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Cell[TextData[StyleBox["Komei Fukuda, fukuda@ifor.math.ethz.ch\nSwiss Federal \
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The following diet problem is taken from V. Chvatal's  great book \
on Linear Programming (\"Linear Programming\", W.H.Freeman and Company,1983). \
  It is to design a cheapest meal with six possible items below to satisfy \
prescribed nutritional needs.  Please see Page 3 of the book.\
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var={\"\",\"Oatmeal\",\"Chicken\",\"Eggs\",\"Milk\",\"Cherry Pie\", \

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price={\"Price/Ser\", \"3c\", \"24c\", \"13c\", \"9c\", \"20c\", \
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We can see the optimal solution better in the following table.   It \
is certainly not an exciting menu.   In fact, an optimal solution to any \
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Now we try to do something more reasonable.  We use cddmathlink \
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We can then compute ALL possibilities for cost at most, say One \
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The list is complete in the sense that any feasible menu of cost at \
most One Dollar is a combination of these seventeen (extreme) solutions.  One \
can find menus with Chicken, Eggs or Pork that might be much more desireble \
than the optimal menu.   Also it shows you cannot avoid Oatmeal nor Cherry \
pie within this budget to satisfy the nutritional needs.\
\>", "Text",
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