Exercicio 2 Pesquisa Operacional Problema da Gasolina resolvido no primal, dual e no solver trabalho final

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solver
	Trabalho final - Exercicio 2
	x1	x2	x3
	r1	0.22	0.52	0.74	9600000	<=	9600000
	r2	0.5	0.34	0.2	3053552.23880597	<=	4800000
	r3	0.28	0.14	0.06	1038985.0746268658	<=	2200000
	r4	16	0	-1	0	<=	0
	r5	0	1	0	600000	<=	600000
	fo	1.7	2.25	1.2	R$ 17,446,119.40
	soluções	770149.2537313433	600000	12322388.059701493
Primal
	EXERCICIO 2 (RESOLUÇÃO)
	X1	X2	X3	X4	X5	X6	X7	X8
	L1	X4	0.22	0.52	0.74	1	0	0	0	0	9600000	18461538.46153846
	L2	X5	0.5	0.34	0.2	0	1	0	0	0	4800000	14117647.058823528
	L3	X6	0.28	0.14	0.06	0	0	1	0	0	2200000	15714285.714285713
	L4	X7	16	0	-1	0	0	0	1	0	0
	L5	SAI	X8	0	1	0	0	0	0	0	1	600000	600000
	L6	-1.7	-2.25	-1.2	0	0	0	0	0	0.0	0
	X1	X2	X3	X4	X5	X6	X7	X8
	L1	L1-(0,52*L5)	X4	0.22	0	0.74	1	0	0	0	-0.52	9288000	42218181.81818182
	L2	L2-(0,34)*L5	X2	0.5	0	0.2	0	1	0	0	-0.34	4596000	9192000
	L3	L3-(0,14*L5)	X6	0.28	0	0.06	0	0	1	0	-0.14	2116000	7557142.857142856
	L4	L4	X7	16	0	-1	0	0	0	1	0	0	0
	L5	L5/1	X2	0	1	0	0	0	0	0	1	600000
	L6	L6+(2,25*L5)	-1.7	0	-1.2	0	0	0	0	2.25	R$ 1,350,000.00
	X1	X2	X3	X4	X5	X6	X7	X8
	L1	L1-(0,22/16)*L4	X4	0	0	0.75375	1	0	0	-0.01375	-0.52	9288000	12322388.059701491
	L2	L2-(0,5/16)*L4	X5	0	0	0.23125	0	1	0	-0.03125	-0.34	4596000	19874594.594594594
	L3	L3-(0,28/16)*L4	X6	0	0	0.0775	0	0	1	-0.0175	-0.14	2116000
	L4	L4/16	X1	1	0	-0.0625	0	0	0	0.0625	0	0
	L5	L5	X2	0	1	0	0	0	0	0	1	600000
	L6	L6+(1,7/16)*L4	0	0	-1.30625	0	0	0	0.10625	2.25	R$ 1,350,000.00
	X1	X2	X3	X4	X5	X6	X7	X8
	L1	L1/0,75375	X3	0	0	1	1.3266998342	0	0	-0.0182421227	-0.6898839138	12322388.059701491
	L2	L2-((0,23125/0,75375)*L1	X5	0	0	0	-0.3067993367	1	0	-0.0270315091	-0.1804643449	1746447.7611940298
	L3	L3-(0,22/0,75375)*L1	X6	0	0	0	-0.1028192371	0	1	-0.0160862355	-0.0865339967	1161014.9253731344
	L4	L4+(0,0625/0,75375)*L1	X1	1	0	0	0.0829187396	0	0	0.0613598673	-0.0431177446	770149.2537313433
	L5	L5	X2	0	1	0	0	0	0	0	1	600000
	L6	L6+(1,30625/0,75375)*L1	0	0	0	1.7330016584	0	0	0.0824212272	1.3488391376	R$ 17,446,119.40
	RESPOSTA
	VNB	VB	Serão produzidos: 770.149,2537 LITROS DA GASOLINA VERDE ; 600.000 LITROS DA GASOLINA AZUL E 12.322.388,06 LITROS DA GASOLINA COMUM. E haverá sobra de 1.746.447,761 LITROS DE OCTANA E 1.161.014,925 LITROS DE ADITIVO. Com lucro semanal de R$ 17.446.119,40
	X4=0	X1= 770.149,2537
	X7=0	X2= 600.000
	X8=0	X3= 12.322.388,06
	X5= 1.746.447,761
	X6= 1.161.014,925
	LUCRO SEMANAL ÓTIMO= R$ 17.446.119,40
Dual
	Y1	Y2	Y3	Y4	Y5	Y6	Y7	Y8	Y1A	Y2A	Y3A
	L1	Y1A	0.2200	0.5000	0.2800	16.0000	0.0000	-1.0000	0.0000	0.0000	1.0000	0.0000	0.0000	1.7000	0.1063
	L2	Y2A	0.5200	0.3400	0.1400	0.0000	1.0000	0.0000	-1.0000	0.0000	0.0000	1.0000	0.0000	2.2500
	L3	Y3A	0.7400	0.2000	0.0600	-1.0000	0.0000	0.0000	0.0000	-1.0000	0.0000	0.0000	1.0000	1.2000
	L4	9600000.0000	4800000.0000	2200000.0000	0.0000	600000.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
	L5	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	1.0000	1.0000	1.0000
	L5-L1-L2-L3	-1.4800	-1.0400	-0.4800	-15.0000	-1.0000	1.0000	1.0000	1.0000	0.0000	0.0000	0.0000	-5.1500
	Y1	Y2	Y3	Y4	Y5	Y6	Y7	Y8	Y1A	Y2A	Y3A
	L1	L1/16	Y4	0.0138	0.0313	0.0175	1.0000	0.0000	-0.0625	0.0000	0.0000	0.0625	0.0000	0.0000	0.1063	7.7273
	L2	L2	Y2A	0.5200	0.3400	0.1400	0.0000	1.0000	0.0000	-1.0000	0.0000	0.0000	1.0000	0.0000	2.2500	4.3269
	L3	L3+(1/16)*L1	Y3A	0.7538	0.2313	0.0775	0.0000	0.0000	-0.0625	0.0000	-1.0000	0.0625	0.0000	1.0000	1.3063	1.7330
	L4	L4	9600000.0000	4800000.0000	2200000.0000	0.0000	600000.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000
	L5	L5+(15/16)*L1	-1.2738	-0.5713	-0.2175	0.0000	-1.0000	0.0625	1.0000	1.0000	0.9375	0.0000	0.0000	-3.5563
	Y1	Y2	Y3	Y4	Y5	Y6	Y7	Y8	Y1A	Y2A	Y3A
	L1	L1-(0,01375/0,75375)*L3	Y4	0.0000	0.0270	0.0161	1.0000	0.0000	-0.0614	0.0000	0.0182	0.0614	0.0000	-0.0182	0.0824
	L2	L2-(0,52/0,75375)*L3	Y2A	0.0000	0.1805	0.0865	0.0000	1.0000	0.0431	-1.0000	0.6899	-0.0431	1.0000	-0.6899	1.3488
	L3	L3/,75375	Y1	1.0000	0.3068	0.1028	0.0000	0.0000	-0.0829	0.0000	-1.3267	0.0829	0.0000	1.3267	1.7330
	L4	L4-(9600000/0,75375)*L3	0.0000	1854726.3682	1212935.3234	0.0000	600000.0000	796019.9005	0.0000	12736318.4080	-796019.9005	0.0000	-12736318.4080	-16636815.9204
	L5	L5+(1,27375/0,75375)*L3	0.0000	-0.1805	-0.0865	0.0000	-1.0000	-0.0431	1.0000	-0.6899	1.0431	0.0000	1.6899	-1.3488
	Y1	Y2	Y3	Y4	Y5	Y6	Y7	Y8	Y1A	Y2A	Y3A
	L1	L1	Y4	0.0000	0.0270	0.0161	1.0000	0.0000	-0.0614	0.0000	0.0182	0.0614	0.0000	-0.0182	0.0824
	L2	L2	Y5	0.0000	0.1805	0.0865	0.0000	1.0000	0.0431	-1.0000	0.6899	-0.0431	1.0000	-0.6899	1.3488
	L3	L3	Y1	1.0000	0.3068	0.1028	0.0000	0.0000	-0.0829	0.0000	-1.3267	0.0829	0.0000	1.3267	1.7330
	L4	L4-(600000*L2)	0.0000	1746447.7612	1161014.9254	0.0000	0.0000	770149.2537	600000.0000	12322388.0597	-770149.2537	-600000.0000	-12322388.0597	-17446119.4030
	L5	L5+L2	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	0.0000	1.0000	1.0000	1.0000	0.0000