AMPL EXAMPLES
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(1) Brewery example from Ecker and Kupferschmid, p. 16:
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Model file (no data file is needed):
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var  x1 >= 0;
var  x2 >= 0;
var  x3 >= 0;
var  x4 >= 0;

maximize objective: 6 * x1 + 5 * x2 + 3 * x3 + 7 * x4;

subject to malt: 1*x1 + 1 * x2 + 3 * x4 <= 50;
subject to hops: 2*x1 + 1 * x2 +2 * x3 + x4 <= 150;
subject to yeast: x1 + x2 + x3 + 4 * x4 <= 80;
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(2) Exercise 2.10 from Ecker and Kupferschmid:
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Model file:
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set MACHINE;
set PRODUCT;

var P{p in PRODUCT} >= 0;
var X{m in MACHINE, p in PRODUCT} >= 0;
var TOTAL>=0;

param table{m in MACHINE, p in PRODUCT} >= 0;


maximize production: TOTAL;

subject to findtot: TOTAL = sum{p in PRODUCT} P[p];

subject to balance1: P['p1'] = 0.5*TOTAL;
subject to balance2: P['p2'] = 0.25*TOTAL;
subject to balance3: P['p3'] = 0.25*TOTAL;

subject to definitions {p in PRODUCT}:
     P[p]=sum{j in MACHINE} table[j,p]*X[j,p];

subject to conservation {m in MACHINE}:
     sum{p in PRODUCT} X[m,p] <= 1;
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Data file:
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set MACHINE = m1 m2;
set PRODUCT = p1 p2 p3;

param table: p1 p2 p3 :=
       m1     8  2  9
       m2     3  5  6;
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