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View - Universidad de Almería

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Global optimisation applied to pig nutrition 259Table 1.A linear programme providing the least cost diet.Barley Soybean . . . MeatandboneMinimise: 0.25B + 0.715S + · · · + 0.5MDigestible energy 13.2B + 15.86S + · · · + 12M = dLysine lower bound 3.19B + 27.33S + · · · + 16.19M ≥ rdBalanced 2.85B + 10.74S + · · · + 20.3M ≥ 0.62rdamino 1.2B + 4.68S + · · · + 1.09M ≥ 0.19rdacid 2.42B + 11.48S + · · · + 9.95M ≥ 0.32rdlower 8.34B + 36.75S + · · · + 18.91M ≥ 0.95rdbounds 3B + 16.22S + · · · + 9.54M ≥ 0.67rd6.85B + 33.25S + · · · + 21.5M ≥ rd.Mineral 0.5B + 3S + · · · + 105M ≥ 8bounds 0.5B + 3S + · · · + 105M ≤ 133.1B + 2.6S + · · · + 52M ≥ 73.1B + 2.6S + · · · + 52M ≤ 110.2B + 0.1S + · · · + 5.5M ≥ 100.2B + 0.1S + · · · + 5.5M ≤ 20.Ingredient −0.4B + 0.6S − · · · − 0.4M ≤ 0upper −0.1B − 0.1S − · · · − 0.1M ≤ 0bounds −0.3B − 0.3S − · · · − 0.3M ≤ 0−0.4B − 0.4S − · · · − 0.4M ≤ 0.Diet mass B + S + · · · + M = 1Table 2. A New Zealand price schedule giving prices in cents per kg for pigs at slaughter in July 2001.Carcass weight (kg)35.0 35.1 40.1 45.1 50.1 55.1 60.1 65.1 70.1 75.1 80.1Backfat and to to to to to to to to to and(mm) un<strong>de</strong>r 40.0 45.0 50.0 55.0 60.0 65.0 70.0 75.0 80.0 over18 230 230 230 230 230 240 240 240 240 240 240

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