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Capitolol 3: Intocmirea unui model de programare liniara a) Activitati si resurse Activitati Resurse X1 X2 X3 X4 Grau Porumb Fl.SoareluiSoia 75 Profit 580.15 755.91 349.38 78.14 Consum ZO total 1.5 13.666 7.02 3.62 432 Consum ZO luna VI 0.16 3.03 3.06 2.58 48 Consum zile mecanizate total 1.26 1.09 1.15 1.19 432 (1 tractor propriu, 1 tractor inchiriat) Consum zile mecanizate luna IV 0.047 0.391 0.056 0.343 48 Retributii 62.1 565.5 290.5 149.8 22500 lei b) Forma algebrica FO-functia obiectiv FO [580,15x1+755,91x2+349,38x3+78,14x4] Max. Restrictii tehnice L1. S.T. x1 x2 x3 x4 L2. S.Pai x1 ≤ 32 ha L3. S. FL S x3 ≤ 15 ha L4. S. Pb x2 ≤ 23 ha L5. S. Soia x4 ≤ 12 ha L6. C. ZO T 1,5*x1+ 13,666*x2+ 7,02*x3+ 3,62*x4 ≤ 432 Zo L7. C.ZO VI 0,16*x1+ 3,03*x2+ 3,06*x3+ 2,58*x4 ≤ 48 Zo L.8 C ZM T 1,26*x1+ 1,09*x2+ 1,15*x3+ 1,19*x4 ≤ 432 ZM L.9 C.ZM IV 0,47*x1+ 0,391*x2+ 0,056*x3+ 0,343*x4 ≤ 48 ZM L.10 Retributi 62,1*x1+ 565,5*x2+ 290,5*x3+ 149,8*x4 ≤ 22500 lei C.N.N. x1,x2,x3,x4 ≥ 0 c) Forma matriceala FO 580.15 755.91 349.38 78.14 → MAX L1 Sup tot 1 1 1 1 ≤ 75 L2 Sup Pai 1 0 0 0 ≤ 32 L3 Sup FL S 0 0 1 0 ≤ 15 L4 Sup Pb 0 1 0 0 ≤ 23 L5 Sup Soia 0 0 0 1 ≤ 12 L6 Cons ZO T 1.5 13.666 7.02 3.62 ≤ 432 L7 Cons ZO VI 0.16 3.03 3.06 2.58 ≤ 48 L8 Cons ZM tot 1.26 1.09 1.15 1.19 ≤ 432 L9 Cons ZM IV 0.047 0.391 0.056 0.343 ≤ 48 L10 Retributii 62.1 565.5 290.5 149.8 ≤ 22500 C.N.N 1 1 1 1 ≥ 0 ≤ 75 ha

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Foaie3Capitolol 3: Intocmirea unui model de programare liniara a) Activitati si resurseActivitatiResurseX1X2X3X4GrauPorumbFl.SoareluiSoia75Profit580.15755.91349.3878.14Consum ZO total 1.513.6667.023.62432Consum ZO luna VI0.163.033.062.5848Consum zile mecanizate total1.261.091.151.19432(1 tractor propriu, 1 tractor inchiriat)Consum zile mecanizate luna IV0.0470.3910.0560.34348Retributii 62.1565.5290.5149.822500leib) Forma algebricaFO-functia obiectivFO [580,15x1+755,91x2+349,38x3+78,14x4] Max.Restrictii tehniceL1. S.T.x1x2x3x4 75 haL2. S.Paix1 32 haL3. S. FL S x3 15 haL4. S. Pbx2 23 haL5. S. Soiax4 12 haL6. C. ZO T1,5*x1+13,666*x2+7,02*x3+3,62*x4 432 ZoL7. C.ZO VI0,16*x1+3,03*x2+3,06*x3+2,58*x4 48 ZoL.8 C ZM T1,26*x1+1,09*x2+1,15*x3+1,19*x4 432 ZML.9 C.ZM IV0,47*x1+0,391*x2+0,056*x3+0,343*x4 48 ZML.10 Retributii62,1*x1+565,5*x2+290,5*x3+149,8*x4 22500 leiC.N.N. x1,x2,x3,x4 0c) Forma matriceala FO580.15755.91349.3878.14 MAXL1 Sup tot1111 75L2 Sup Pai1000 32L3 Sup FL S0010 15L4 Sup Pb0100 23L5 Sup Soia0001 12L6 Cons ZO T1.513.6667.023.62 432L7 Cons ZO VI0.163.033.062.58 48L8 Cons ZM tot1.261.091.151.19 432L9 Cons ZM IV0.0470.3910.0560.343 48L10 Retributii62.1565.5290.5149.8 22500C.N.N1111 0