Precificação em Restaurante

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UNIVERSIDADE VEIGA DE ALMEIDA
GRADUAÇÃO EM CIÊNCIAS ECONÔMICAS
LUCIANO FERNANDES DE OLIVEIRA
TRABALHO DA DISCIPLINA MATEMATICA APLICADA
PRECIFICAÇÃO
VOLTA REDONDA
2020
 
Apresentação
A precificação é um importante momento de tomada de decisão em um negócio, um erro ao se definir o correto preço de um serviço ou produto, seja por uma relação inadequada entre seu custo e o preço de venda (margem de contribuição), seja por um preço pouco concorrencial, ou ainda quando não se opera com a otimização de resultados, pode levar a um baixo resultado financeiro final e até mesmo a falência do negócio.
A atividade a seguir trata exatamente desse importante tema a partir do qual se procura criar um contexto mais próximo de uma situação real.
Situação problematizadora
Você foi procurado por um empresário de um restaurante da zona oeste do Rio de Janeiro que vende atualmente 800kg de comida por dia, operando no sistema de comida a quilo. Atualmente é praticado o preço de R$3,19 por 100g de comida, mas o empresário de posse de uma pesquisa de mercado verificou que seu preço não é o maior entre seus concorrentes, conforme pode ser visto na tabela abaixo, revelada pela pesquisa:
Ainda nessa pesquisa junto ao mercado consumidor, foi verificado que com um aumento de R$0,10 no preço de 100g, que o seu restaurante deixaria de vender 20kg de comida diariamente, o que representa para ele uma percepção de não ser vantajoso um eventual aumento.
Você, como consultor contratado por esse empresário, deve responder às seguintes indagações do seu cliente (o empresário):
a) Qual é a função do preço do quilo de comida, em função do aumento? (1,0 ponto)
b) Qual é a função da quantidade de comida vendida, em função do aumento? (1,0 ponto)
c) Qual é a função da receita do restaurante em relação ao aumento? (2,0 pontos)
d) Qual deveria ser o preço por 100g que maximiza a receita do restaurante? (2,0 pontos)
e) Qual o valor da receita nessas condições? (1,0 pontos)
f) Faça no Excel os gráficos da função Receita x Aumento no preço do quilo (1,0 ponto) e da função Demanda (quantidade vendida) x Aumento no preço do quilo (1,0 ponto). (Incluir somente as imagens dos dois gráficos — ambos podem estar em um único gráfico)
g) Para que se tenha a máxima receita praticando o novo preço, o restaurante ainda possuirá um preço competitivo? Justifique a sua resposta. (1,0 ponto)
Consideremos que:
x representa a variação no preço, a quantia acrescida ao valor original;
P representa o preço do quilo da comida em reais;
Q representa a quantidade, em kg, de comida vendida por dia;
R representa a receita diária em reais.
Qual é a função do preço do quilo de comida, em função do aumento?
	Com o valor praticado atualmente de R$3,19 por 100g, temos que o valor do quilo da comida sai pelo preço de R$31,90. Logo, a função se dá por:
P(x) = 31,90 + x
Qual é a função da quantidade de comida vendida, em função do aumento?
	Com os valores praticados atualmente, o restaurante vende por dia a quantidade de 800kg de comida e com o aumento de preço sugerido, estima-se que se deixaria de vender 20kg de comida para cada R$0,10. Logo, a função se dá por:
Q(x) = 800 – 20x
Qual é a função da receita do restaurante em relação ao aumento?
R(x) = P(x) . Q(x)
R(x) = (31,90 + x) . (800,00 - 20)
R(x) = + 162x + 25.520
Qual deveria ser o preço por 100g que maximiza a receita do restaurante?
	x representa o valor que quando adicionado ao valor atual do quilo, resulta na maximização do valor da receita do restaurante. Logo, temos:
R(x) = + 162x + 25.520
Onde: -20 = a; 162 = b; 25.520 = c
Xv = 
Xv = 
Xv = 4,05
	Com isso, temos que o valor maximizado do quilo se dá por:
P(x) = 31,90 + x
P(4,05) = 31,90 + 4,05 = 35,95
	E consequentemente, o preço por 100g que maximizaria a receita do restaurante seria o valor arredondado de R$3,60.
Qual o valor da receita nessas condições?
	Para obtermos essa resposta, basta substituirmos o “x” na função receita e assim, encontraremos o valor.
R(x) = + 162x + 25.520
R(4,05) = + 162(4,05) + 25,520
R(4,05)= -328,05 + 656,1 + 25.520
R(4,05) = R$25.848,05
Faça no Excel os gráficos da função Receita x Aumento no preço do quilo e da função Demanda (quantidade vendida) x Aumento no preço do quilo.
Para que se tenha a máxima receita praticando o novo preço, o restaurante ainda possuirá um preço competitivo? Justifique a sua resposta.
	Sim! Pois o aumento no valor da comida acaba por compensar as eventuais baixas no numero de vendas, fora o fato de que, mesmo com o acréscimo no preço ele ainda se mantem na mesma faixa que os valores dos concorrentes!
Demanda x Aumento
0	0.01	0.02	0.03	0.04	0.05	0.06	7.0000000000000007E-2	0.08	0.09	0.1	0.11	0.12	0.13	0.14000000000000001	0.15	0.16	0.17	0.18	0.19	0.2	0.21	0.22	0.23	0.24	0.25	0.26	0.27	0.28000000000000003	0.28999999999999998	0.3	0.31	0.32	0.33	0.34	0.35	0.36	0.37	0.38	0.39	0.4	0.41	0.42	0.43	0.44	0.45	0.46	0.47	0.48	0.49	0.5	0.51	0.52	0.53	0.54	0.55000000000000004	0.56	000000000000005	0.56999999999999995	0.57999999999999996	0.59	0.6	0.61	0.62	0.63	0.64	0.65	0.66	0.67	0.68	0.69	0.7	0.71	0.72	0.73	0.74	0.75	0.76	0.77	0.78	0.79	0.8	0.81	0.82	0.83	0.84	0.85	0.86	0.87	0.88	0.89	0.9	0.91	0.92	0.93	0.94	0.95	0.96	0.97	0.98	0.99	1	1.01	1.02	1.03	1.04	1.05	1.06	1.07	1.08	1.0900000000000001	1.1000000000000001	1.1100000000000001	1.1200000000000001	1.1299999999999999	1.1399999999999999	1.1499999999999999	1.1599999999999999	1.17	1.18	1.19	1.2	1.21	1.22	1.23	1.24	1.25	1.26	1.27	1.28	1.29	1.3	1.31	1.32	1.33	1.34	1.35	1.36	1.37	1.38	1.39	1.4	1.41	1.42	1.43	1.44	1.45	1.46	1.47	1.48	1.49	1.5	1.51	1.52	1.53	1.54	1.55	1.56	1.57	1.58	1.59	1.6	1.61	1.62	1.63	1.64	1.65	1.66	1.67	1.68	1.69	1.7	1.71	1.72	1.73	1.74	1.75	1.76	1.77	1.78	1.79	1.8	1.81	1.82	1.83	1.84	1.85	1.86	1.87	1.88	1.89	1.9	1.91	1.92	1.93	1.94	1.95	1.96	1.97	1.98	1.99	2	2.0099999999999998	2.02	2.0299999999999998	2.04	2.0499999999999998	2.06	2.0699999999999998	2.08	2.09	2.1	2.11	2.12	2.13	2.14	2.15	2.16	2.17	2.1800000000000002	2.19	2.2000000000000002	2.21	2.2200000000000002	2.23	2.2400000000000002	2.25	2.2599999999999998	2.27	2.2799999999999998	2.29	2.2999999999999998	2.31	2.3199999999999998	2.33	2.34	2.35	2.36	2.37	2.38	2.39	2.4	2.41	2.42	2.4300000000000002	2.44	2.4500000000000002	2.46	2.4700000000000002	2.48	2.4900000000000002	2.5	2.5099999999999998	2.52	2.5299999999999998	2.54	2.5499999999999998	2.56	2.57	2.58	2.59	2.6	2.61	2.62	2.63	2.64	2.65	2.66	2.67	2.68	2.69	2.7	2.71	2.72	2.73	2.74	2.75	2.76	2.77	2.78	2.79	2.8	2.81	2.82	2.83	2.84	2.85	2.86	2.87	2.88	2.89	2.9	2.91	2.92	2.93	2.94	2.95	2.96	2.97	2.98	2.99	3	3.01	3.02	3.03	3.04	3.05	3.06	3.07	3.08	3.09	3.1	3.11	3.12	3.13	3.14	3.15	3.16	3.17	3.18	3.19	3.2	3.21	3.22	3.23	3.24	3.25	3.26	3.27	3.28	3.29	3.3	3.31	3.32	3.33	3.34	3.35	3.36	3.37	3.38	3.39	3.4	3.41	3.42	3.43	3.44	3.45	3.46	3.47	3.48	3.49	3.5	3.51	3.52	3.53	3.54	3.55	3.56	3.57	3.58	3.59	3.6	3.61	3.62	3.63	3.64	3.65	3.66	3.67	3.68	3.69	3.7	3.71	3.72	3.73	3.74	3.75	3.76	3.77	3.78	3.79	3.8	3.81	3.82	3.83	3.84	3.85	3.86	3.87	3.88	3.89	3.9	3.91	3.92	3.93	3.94	3.95	3.96	3.97	3.98	3.99	4	4.01	4.0199999999999996	4.03	4.04	4.05	4.0599999999999996	4.07	4.08	4.09	4.0999999999999996	4.1100000000000003	4.12	4.13	4.1399999999999997	4.1500000000000004	4.16	4.17	4.18	4.1900000000000004	4.2	4.21	4.22	4.2300000000000004	4.24	4.25	4.26	4.2699999999999996	4.28	4.29	4.3	4.3099999999999996	4.32	4.33	4.34	4.3499999999999996	4.3600000000000003	4.37	4.38	4.3899999999999997	4.4000000000000004	4.41	4.42	4.43	4.4400000000000004	4.45	4.46	4.47	4.4800000000000004	4.49	4.5	4.51	4.5199999999999996	4.53	4.54	4.55	4.5599999999999996	4.57	4.58	4.59	4.5999999999999996	4.6100000000000003	4.62	4.63	4.6399999999999997	4.6500000000000004	4.66	4.67	4.68	4.6900000000000004	4.7	4.71	4.72	4.7300000000000004	4.74	4.75	4.76	4.7699999999999996	4.78	4.79	4.8	4.8099999999999996	4.82	4.83	4.84	4.8499999999999996	4.8600000000000003	4.87	4.88	4.8899999999999997	4.9000000000000004	4.91	4.92	4.93	4.9400000000000004	4.95	4.96	4.97	4.9800000000000004	4.99	5	5.01	5.01999999999999965.03	5.04	5.05	5.0599999999999996	5.07	5.08	5.09	5.09	99999999999996	5.1100000000000003	5.12	5.13	5.14	5.15	5.16	5.17	5.18	5.19	5.2	5.21	5.22	5.23	5.24	5.25	5.26	5.27	5.28	5.29	5.3	5.31	5.32	5.33	5.34	5.35	5.36	5.37	5.38	5.39	5.4	5.41	5.42	5.43	5.44	5.45	5.46	5.47	5.48	5.49	5.5	5.51	5.52	5.53	5.54	5.55	5.56	5.57	5.58	5.59	5.6	5.61	5.62	5.63	5.64	5.65	5.66	5.67	5.68	5.69	5.7	5.71	5.72	5.73	5.74	5.75	5.76	5.77	5.78	5.79	5.8	5.81	5.82	5.83	5.84	5.85	5.86	5.87	5.88	5.89	5.9	5.91	5.92	5.93	5.94	5.95	5.96	5.97	5.98	5.99	6	6.01	6.02	6.03	6.04	6.05	6.06	6.07	6.08	6.09	6.1	6.11	6.12	6.13	6.14	6.15	6.16	6.17	6.18	6.19	6.2	6.21	6.22	6.23	6.24	6.25	6.26	6.27	6.28	6.29	6.3	6.31	6.32	6.33	6.34	6.35	6.36	6.37	6.38	6.39	6.4	6.41	6.42	6.43	6.44	6.45	6.46	6.47	6.48	6.49	6.5	6.51	6.52	6.53	6.54	6.55	6.56	6.57	6.58	6.59	6.6	6.61	6.62	6.63	6.64	6.65	6.66	6.67	6.68	6.69	6.7	6.71	6.72	6.73	6.74	6.75	6.76	6.77	6.78	6.79	6.8	6.81	6.82	6.83	6.84	6.85	6.86	6.87	6.88	6.89	6.9	6.91	6.92	6.93	6.94	6.95	6.96	6.97	6.98	6.99	7	7.01	7.02	7.03	7.04	7.05	7.06	7.07	7.08	7.09	7.1	7.11	7.12	7.13	7.14	7.15	7.16	7.17	7.18	7.19	7.2	7.21	7.22	7.23	7.24	7.25	7.26	7.27	7.28	7.29	7.3	7.31	7.32	7.33	7.34	7.35	7.36	7.37	7.38	7.39	7.4	7.41	7.42	7.43	7.44	7.45	7.46	7.47	7.48	7.49	7.5	7.51	7.52	7.53	7.54	7.55	7.56	7.57	7.58	7.59	7.6	7.61	7.62	7.63	7.64	7.65	7.66	7.67	7.68	7.69	7.7	7.71	7.72	7.73	7.74	7.75	7.76	7.77	7.78	7.79	7.8	7.81	7.82	7.83	7.84	7.85	7.86	7.87	7.88	7.89	7.9	7.91	7.92	7.93	7.94	7.95	7.96	7.97	7.98	7.99	8	8.01	8.02	8.0299999999999994	8.0399999999999991	8.0500000000000007	8.06	8.07	8.08	8.09	8.1	800	799.8	799.6	799.4	799.2	799	798.8	798.6	798.4	798.2	798	797.8	797.6	797.4	797.2	797	796.8	796.6	796.4	796.2	796	795.8	795.6	795.4	795.2	795	794.8	794.6	794.4	794.2	794	793.8	793.6	793.4	793.2	793	792.8	792.6	792.4	792.2	792	791.8	791.6	791.4	791.2	791	790.8	790.6	790.4	790.2	790	789.8	789.6	789.4	789.2	789	788.8	788.6	788.4	788.2	788	787.8	787.6	787.4	787.2	787	786.8	786.6	786.4	786.2	786	785.8	785.6	785.4	785.2	785	78	4.8	784.6	784.4	784.2	784	783.8	783.6	783.4	783.2	783	782.8	782.6	782.4	782.2	782	781.8	781.6	781.4	781.2	781	780.8	780.6	780.4	780.2	780	779.8	779.6	779.4	779.2	779	778.8	778.6	778.4	778.2	778	777.8	777.6	777.4	777.2	777	776.8	776.6	776.4	776.2	776	775.8	775.6	775.4	775.2	775	774.8	774.6	774.4	774.2	774	773.8	773.6	773.4	773.2	773	772.8	772.6	772.4	772.2	772	771.8	771.6	771.4	771.2	771	770.8	770.6	770.4	770.2	770	769.8	769.6	769.4	769.2	769	768.8	768.6	768.4	768.2	768	767.8	767.6	767.4	767.2	767	766.8	766.6	766.4	766.2	766	765.8	765.6	765.4	765.2	765	764.8	764.6	764.4	764.2	764	763.8	763.6	763.4	763.2	763	762.8	762.6	762.4	762.2	762	761.8	761.6	761.4	761.2	761	760.8	760.6	760.4	760.2	760	759.8	759.6	759.4	759.2	759	758.8	758.6	758.4	758.2	758	757.8	757.6	757.4	757.2	757	756.8	756.6	756.4	756.2	756	755.8	755.6	755.4	755.2	755	754.8	754.6	754.4	754.2	754	753.8	753.6	753.4	753.2	753	752.8	752.6	752.4	752.2	752	751.8	751.6	751.4	751.2	751	750.8	750.6	750.4	750.2	750	749.8	749.6	749.4	749.2	749	748.8	748.6	748.4	748.2	748	747.8	747.6	747.4	747.2	747	746.8	746.6	746.4	746.2	746	745.8	745.6	745.4	745.2	745	744.8	744.6	744.4	744.2	744	743.8	743.6	743.4	743.2	743	742.8	742.6	742.4	742.2	742	741.8	741.6	741.4	741.2	741	740.8	740.6	740.4	740.2	740	739.8	739.6	739.4	739.2	739	738.8	738.6	738.4	738.2	738	737.8	737.6	737.4	737.2	737	736.8	736.6	736.4	736.2	736	735.8	735.6	735.4	735.2	735	734.8	734.6	734.4	734.2	734	733.8	733.6	733.4	733.2	733	732.8	732.6	732.4	732.2	732	731.8	731.6	731.4	731.2	731	730.8	730.6	730.4	730.2	730	729.8	729.6	729.4	729.2	729	728.8	728.6	728.4	728.2	728	727.8	727.6	727.4	727.2	727	726.8	726.6	726.4	726.2	726	725.8	725.6	725.4	725.2	725	724.8	724.6	724.4	724.2	724	723.8	723.6	723.4	723.2	723	722.8	722.6	722.4	722.2	722	721.8	721.6	721.4	721.2	721	720.8	720.6	720.4	720.2	720	719.8	719.6	719.4	719.2	719	718.8	718.6	718.4	718.2	718	717.8	717.6	717.4	717.2	717	716.8	716.6	716.4	716.2	716	715.8	715.6	715.4	715.2	715	714.8	714.6	714.4	714.2	714	713.8	713.6	713.4	713.2	713	712.8	712.6	712.4	712.2	712	711.8	711.6	711.4	711.2	711	710.8	710.6	710.4	710.2	710	709.8	709.6	709.4	709.2	709	708.8	708.6	708.4	708.2	708	707.8	707.6	707.4	707.2	707	706.8	706.6	706.4	706.2	706	705.8	705.6	705.4	705.2	705	704.8	704.6	704.4	704.2	704	703.8	703.6	703.4	703.2	703	702.8	702.6	702.4	702.2	702	701.8	701.6	701.4	701.2	701	700.8	700.6	700.4	700.2	700	699.8	699.6	699.4	699.2	699	698.8	698.6	698.4	698.2	698	697.8	697.6	697.4	697.2	697	696.8	696.6	696.4	696.2	696	695.8	695.6	695.4	695.2	695	694.8	694.6	694.4	694.2	694	693.8	693.6	693.4	693.2	693	692.8	692.6	692.4	692.2	692	691.8	691.6	691.4	691.2	691	690.8	690.6	690.4	690.2	690	689.8	689.6	689.4	689.2	689	688.8	688.6	688.4	688.2	688	687.8	687.6	687.4	687.2	687	686.8	686.6	686.4	686.2	686	685.8	685.6	685.4	685.2	685	684.8	684.6	684.4	684.2	684	683.8	683.6	683.4	683.2	683	682.8	682.6	682.4	682.2	682	681.8	681.6	681.4	681.2	681	680.8	680.6	680.4	680.2	680	679.8	679.6	679.4	679.2	679	678.8	678.6	678.4	678.2	678	677.8	677.6	677.4	677.2	677	676.8	676.6	676.4	676.2	676	675.8	675.6	675.4	675.2	675	674.8	674.6	674.4	674.2	674	673.8	673.6	673.4	673.2	673	672.8	672.6	672.4	672.2	672	671.8	671.6	671.4	671.2	671	670.8	670.6	670.4	670.2	670	669.8	669.6	669.4	669.2	669	668.8	668.6	668.4	668.2	668	667.8	667.6	667.4	667.2	667	666.8	666.6	666.4	666.2	666	665.8	665.6	665.4	665.2	665	664.8	664.6	664.4	664.2	664	663.8	663.6	663.4	663.2	663	662.8	662.6	662.4	662.2	662	661.8	661.6	661.4	661.2	661	660.8	660.6	660.4	660.2	660	659.8	659.6	659.4	659.2	659	658.8	658.6	658.4	658.2	658	657.8	657.6	657.4	657.2	657	656.8	656.6	656.4	656.2	656	655.8	655.6	655.4	655.20000000000005	655	654.79999999999995	654.6	654.4	654.20000000000005	654	653.79999999999995	653.6	653.4	653.20000000000005	653	652.79999999999995	652.6	652.4	652.20000000000005	652	651.79999999999995	651.6	651.4	651.20000000000005	651	650.79999999999995	650.6	650.4	650.20000000000005	650	649.79999999999995	649.6	649.4	649.20000000000005	649	648.79999999999995	648.6	648.4	648.20000000000005	648	647.79999999999995	647.6	647.4	647.20000000000005	647	646.79999999999995	646.6	646.4	646.20000000000005	646	645.79999999999995	645.6	645.4	645.20000000000005	645	644.79999999999995	644.6	644.4	644.20000000000005	644	643.79999999999995	643.6	643.4	643.20000000000005	643	642.79999999999995	642.6	642.4	642.20000000000005	642	641.79999999999995	641.6	641.4	641.20000000000005	641	640.79999999999995	640.6	640.4	640.20000000000005	640	639.79999999999995	639.6	639.4	639.20000000000005	639	638.79999999999995	638.6	638.4	638.20000000000005	638	Aumento
Demanda
Receita x Aumento
0	0.01	0.02	0.03	0.04	0.05	0.06	7.0000000000000007E-2	0.08	0.09	0.1	0.11	0.12	0.13	0.14000000000000001	0.15	0.16	0.17	0.18	0.19	0.2	0.21	0.22	0.23	0.24	0.25	0.26	0.27	0.28000000000000003	0.28999999999999998	0.3	0.31	0.32	0.33	0.34	0.35	0.36	0.37	0.38	0.39	0.4	0.41	0.42	0.43	0.44	0.45	0.46	0.47	0.48	0.49	0.5	0.51	0.52	0.53	0.54	0.55000000000000004	0.56000000000000005	0.56999999999999995	0.57999999999999996	0.59	0.6	0.61	0.62	0.63	0.64	0.65	0.66	0.67	0.68	0.69	0.7	0.71	0.72	0.73	0.74	0.75	0.76	0.77	0.78	0.79	0.8	0.81	0.82	0.83	0.84	0.85	0.86	0.87	0.88	0.89	0.9	0.91	0.92	0.93	0.94	0.95	0.96	0.97	0.98	0.99	1	1.01	1.02	1.03	1.04	1.05	1.06	1.07	1.08	1.0900000000000001	1.1000000000000001	1.1100000000000001	1.1200000000000001	1.1299999999999999	1.1399999999999999	1.1499999999999999	1.1599999999999999	1.17	1.18	1.19	1.2	1.21	1.22	1.23	1.24	1.25	1.26	1.27	1.28	1.29	1.3	1.31	1.32	1.33	1.34	1.35	1.36	1.37	1.38	1.39	1.4	1.41	1.42	1.43	1.44	1.45	1.46	1.47	1.48	1.49	1.5	1.51	1.52	1.53	1.54	1.55	1.56	1.57	1.58	1.59	1.6	1.61	1.62	1.63	1.64	1.65	1.66	1.67	1.68	1.69	1.7	1.71	1.72	1.73	1.74	1.75	1.76	1.77	1.78	1.79	1.8	1.81	1.	82	1.83	1.84	1.85	1.86	1.87	1.88	1.89	1.9	1.91	1.92	1.93	1.94	1.95	1.96	1.97	1.98	1.99	2	2.0099999999999998	2.02	2.0299999999999998	2.04	2.0499999999999998	2.06	2.0699999999999998	2.08	2.09	2.1	2.11	2.12	2.13	2.14	2.15	2.16	2.17	2.1800000000000002	2.	19	2.2000000000000002	2.21	2.22000000000000022.23	2.2400000000000002	2.25	2.2599999999999998	2.27	2.2799999999999998	2.29	2.2999999999999998	2.31	2.3199999999999998	2.33	2.34	2.35	2.36	2.37	2.38	2.39	2.4	2.41	2.42	2.4300000000000002	2.44	2.4500000000000002	2.46	2.4700000000000002	2.48	2.4900000000000002	2.5	2.5099999999999998	2.52	2.5299999999999998	2.54	2.5499999999999998	2.56	2.57	2.58	2.59	2.6	2.61	2.62	2.63	2.64	2.65	2.66	2.67	2.68	2.69	2.7	2.71	2.72	2.73	2.74	2.75	2.76	2.77	2.78	2.79	2.8	2.81	2.82	2.83	2.84	2.85	2.86	2.87	2.88	2.89	2.9	2.91	2.92	2.93	2.94	2.95	2.96	2.97	2.98	2.99	3	3.01	3.02	3.03	3.04	3.05	3.06	3.07	3.08	3.09	3.1	3.11	3.12	3.13	3.14	3.15	3.16	3.17	3.18	3.19	3.2	3.21	3.22	3.23	3.24	3.25	3.26	3.27	3.28	3.29	3.3	3.31	3.32	3.33	3.34	3.35	3.36	3.37	3.38	3.39	3.4	3.41	3.42	3.43	3.44	3.45	3.46	3.47	3.48	3.49	3.5	3.51	3.52	3.53	3.54	3.55	3.56	3.57	3.58	3.59	3.6	3.61	3.62	3.63	3.64	3.65	3.66	3.67	3.68	3.69	3.7	3.71	3.72	3.73	3.74	3.75	3.76	3.77	3.78	3.79	3.8	3.81	3.82	3.83	3.84	3.85	3.86	3.87	3.88	3.89	3.9	3.91	3.92	3.93	3.94	3.95	3.96	3.97	3.98	3.99	4	4.01	4.0199999999999996	4.03	4.04	4.05	4.0599999999999996	4.07	4.08	4.09	4.0999999999999996	4.1100000000000003	4.12	4.13	4.1399999999999997	4.1500000000000004	4.16	4.17	4.18	4.1900000000000004	4.2	4.21	4.22	4.2300000000000004	4.24	4.25	4.26	4.2699999999999996	4.28	4.29	4.3	4.3099999999999996	4.32	4.33	4.34	4.3499999999999996	4.3600000000000003	4.37	4.38	4.3899999999999997	4.4000000000000004	4.41	4.42	4.43	4.4400000000000004	4.45	4.46	4.47	4.4800000000000004	4.49	4.5	4.51	4.519999999999999	6	4.53	4.54	4.55	4.5599999999999996	4.57	4.58	4.59	4.5999999999999996	4.6100000000000003	4.62	4.63	4.6399999999999997	4.6500000000000004	4.66	4.67	4.68	4.6900000000000004	4.7	4.71	4.72	4.7300000000000004	4.74	4.75	4.76	4.7699999999999996	4.78	4.79	4.8	4.8099999999999996	4.82	4.83	4.84	4.8499999999999996	4.8600000000000003	4.87	4.88	4.8899999999999997	4.9000000000000004	4.91	4.92	4.93	4.9400000000000004	4.95	4.96	4.97	4.9800000000000004	4.99	5	5.01	5.0199999999999996	5.03	5.04	5.05	5.0599999999999996	5.07	5.08	5.09	5.0999999999999996	5.1100000000000003	5.12	5.13	5.14	5.15	5.16	5.17	5.18	5.19	5.2	5.21	5.22	5.23	5.24	5.25	5.26	5.27	5.28	5.29	5.3	5.31	5.32	5.33	5.34	5.35	5.36	5.37	5.38	5.3	9	5.4	5.41	5.42	5.43	5.44	5.45	5.46	5.47	5.48	5.49	5.5	5.51	5.52	5.53	5.54	5.55	5.56	5.57	5.58	5.59	5.6	5.61	5.62	5.63	5.64	5.65	5.66	5.67	5.68	5.69	5.7	5.71	5.72	5.73	5.74	5.75	5.76	5.77	5.78	5.79	5.8	5.81	5.82	5.83	5.84	5.85	5.86	5.87	5.88	5.89	5.9	5.91	5.92	5.93	5.94	5.95	5.96	5.97	5.98	5.99	6	6.01	6.02	6.03	6.04	6.05	6.06	6.07	6.08	6.09	6.1	6.11	6.12	6.13	6.14	6.15	6.16	6.17	6.18	6.19	6.2	6.21	6.22	6.23	6.24	6.25	6.26	6.27	6.28	6.29	6.3	6.31	6.32	6.33	6.34	6.35	6.36	6.37	6.38	6.39	6.4	6.41	6.42	6.43	6.44	6.45	6.46	6.47	6.48	6.49	6.5	6.51	6.52	6.53	6.54	6.55	6.56	6.57	6.58	6.59	6.6	6.61	6.62	6.63	6.64	6.65	6.66	6.67	6.68	6.69	6.7	6.71	6.72	6.73	6.74	6.75	6.76	6.77	6.78	6.79	6.8	6.81	6.82	6.83	6.84	6.85	6.86	6.87	6.88	6.89	6.9	6.91	6.92	6.93	6.94	6.95	6.96	6.97	6.98	6.99	7	7.01	7.02	7.03	7.04	7.05	7.06	7.07	7.08	7.09	7.1	7.11	7.12	7.13	7.14	7.15	7.16	7.17	7.18	7.19	7.2	7.21	7.22	7.23	7.24	7.25	7.26	7.27	7.28	7.29	7.3	7.31	7.32	7.33	7.34	7.35	7.36	7.37	7.38	7.39	7.4	7.41	7.42	7.43	7.44	7.45	7.46	7.47	7.48	7.49	7.5	7.51	7.52	7.53	7.54	7.55	7.56	7.57	7.58	7.59	7.6	7.61	7.62	7.63	7.64	7.65	7.66	7.67	7.68	7.69	7.7	7.71	7.72	7.73	7.74	7.75	7.76	7.77	7.78	7.79	7.8	7.81	7.82	7.83	7.84	7.85	7.86	7.87	7.88	7.89	7.9	7.91	7.92	7.93	7.94	7.95	7.96	7.97	7.98	7.99	8	8.01	8.02	8.0299999999999994	8.0399999999999991	8.0500000000000007	8.06	8.07	8.08	8.09	8.1	25520	25521.617999999999	25523.232	25524.842000000001	25526.448	25528.05	25529.648000000001	25531.241999999998	25532.8	31999999999	25534.418000000001	25536	25537.578000000001	25539.151999999998	25540.722000000002	25542.288	25543.85	25545.407999999999	25546.962	25548.511999999999	25550.058000000001	25551.599999999999	25553.137999999999	25554.671999999999	25556.202000000001	25557.727999999999	25559.25	25560.768	2556	2.281999999999	25563.792000000001	25565.297999999999	25566.799999999999	25568.297999999999	25569.792000000001	25571.281999999999	25572.768	25574.25	25575.727999999999	25577.202000000001	25578.671999999999	25580.137999999999	25581.599999999999	25583.058000000001	25584.511999999999	25585.962	25587.407999999999	25588.85	25590.288	25591.722000000002	25593.151999999998	25594.578000000001	25596	25597.418000000001	25598.831999999999	25600.241999999998	25601.648000000001	25603.05	25604.448	25605.842000000001	25607.232	25608.617999999999	25610	25611.378000000001	25612.752	25614.121999999999	25615.488000000001	25616.85	25618.207999999999	25619.562000000002	25620.912	25622.258000000002	25623.599999999999	25624.937999999998	25626.272000000001	25627.601999999999	25628.928	25630.25	25631.567999999999	25632.882000000001	25634.191999999999	25635.498	25636.799999999999	25638.098000000002	25639.392	25640.682000000001	25641.968000000001	25643.25	25644.527999999998	25645.802	25647.07	2	25648.338	25649.599999999999	25650.858	25652.112000000001	25653.362000000001	25654.608	25655.85	25657.088	25658.322	25659.552	25660.777999999998	25662	25663.218000000001	25664.432000000001	25665.642	25666.848000000002	25668.05	25669.248	25670.441999999999	25671.632000000001	25672.817999999999	25674	25675.178	25676.351999999999	25677.522000000001	25678.687999999998	25679.85	25681.008000000002	25682.162	25683.312000000002	25684.457999999999	25685.599999999999	25686.738000000001	25687.871999999999	25689.002	25690.128000000001	25691.25	25692.367999999999	25693.482	25694.592000000001	25695.698	25696.799999999999	25697.898000000001	25698.991999999998	25700.081999999999	25701.168000000001	25702.25	25703.328000000001	25704.401999999998	25705.472000000002	25706.538	25707.599999999999	25708.657999999999	25709.712	25710.761999999999	25711.808000000001	25712.85	25713.887999999999	25714.921999999999	25715.952000000001	2571	6.977999999999	25718	25719.018	25720.031999999999	25721.042000000001	25722.047999999999	25723.05	25724.047999999999	25725.042000000001	25726.031999999999	25727.018	25728	25728.977999999999	25729.952000000001	25730.921999999999	25731.887999999999	25732.85	25733.808000000001	25734.761999999999	25735.712	25736.657999999999	25737.599999999999	25738.538	25739.472000000002	25740.401999999998	25741.328000000001	25742.25	25743.168000000001	25744.081999999999	25744.991999999998	25745.898000000001	25746.799999999999	25747.698	25748.592000000001	25749.482	25750.367999999999	25751.25	25752.128000000001	25753.002	25753.871999999999	25754.738000000001	25755.599999999999	25756.457999999999	25757.312000000002	25758.162	25759.008000000002	25759.85	25760.687999999998	25761.522000000001	25762.351999999999	25763.178	25764	25764.817999999999	25765.632000000001	25766.441999999999	25767.248	25768.05	25768.848000000002	25769.642	25770.432000000001	25771.218000000001	25772	25772.777999999998	25773.552	25774.322	25775.088	25775.85	25776.608	25777.362000000001	25778.112000000001	25778.858	25779.599999999999	25780.338	25781.072	25781.802	25782.527999999998	25783.25	25783.968000000001	25784.682000000001	25785.392	25786.098000000002	25786.799999999999	25787.498	25788.191999999999	25788.882000000001	25789.567999999999	25790.25	25790.928	25791.601999999999	25792.272000000001	25792.937999999998	25793.599999999999	25794.258000000002	25794.912	25795.562000000002	25796.207999999999	25796.85	25797.488000000001	25798.121999999999	25798.752	25799.378000000001	25800	25800.617999999999	25801.232	25801.842000000001	25802.448	25803.05	25803.648000000001	25804.241999999998	25804.831999999999	25805.418000000001	25806	25806.578000000001	25807.151999999998	25807.722000000002	25808.288	25808.85	25809.407999999999	25809.962	25810.511999999999	25811.058000000001	25811.599999999999	25812.137999999999	25812.671999999999	25813.202000000001	25813.727999999999	25814.25	25814.768	25815.281999999999	25815.792000000001	25816.297999999999	25816.799999999999	25817.297999999999	25817.792000000001	25818.281999999999	25818.768	25819	.25	25819.727999999999	25820.20200000000125820.671999999999	25821.137999999999	25821.599999999999	25822.058000000001	25822.511999999999	25822.962	25823.407999999999	25823.85	25824.288	25824.722000000002	25825.151999999998	25825.578000000001	25826	25826.418000000001	25826.831999999999	25827.241999999998	25827.648000000001	25828.05	25828.448	25828.842000000001	25829.232	25829.617999999999	25830	25830.378000000001	25830.752	25831.121999999999	25831.488000000001	25831.85	25832.207999999999	25832.562000000002	25832.912	25833.258000000002	25833.599999999999	25833.937999999998	25834.272000000001	25834.601999999999	25834.928	25835.25	25835.567999999999	25835.88	2000000001	25836.191999999999	25836.498	25836.799999999999	25837.098000000002	25837.392	25837.682000000001	25837.968000000001	25838.25	25838.527999999998	25838.802	25839.072	25839.338	25839.599999999999	25839.858	25840.112000000001	25840.362000000001	25840.608	25840.85	25841.088	25841.322	25841.552	25841.777999999998	25842	25842.218000000001	25842.432000000001	25842.642	25842.848000000002	25843.05	25843.248	25843.441999999999	25843.632000000001	25843.817999999999	25844	25844.178	25844.351999999999	25844.522000000001	25844.687999999998	25844.85	25845.008000000002	25845.162	25845.312000000002	25845.457999999999	25845.599999999999	25845.738000000001	25845.871999999999	25846.002	25846.128000000001	25846.25	25846.367999999999	25846.482	25846.592000000001	25846.698	25846.799999999999	25846.898000000001	25846.991999999998	25847.081999999999	25847.168000000001	25847.25	25847.328000000001	25847.402000000002	25847.472000000002	25847.538	25847.599999999999	25847.657999999999	25847.712	25847.761999999999	25847.808000000001	25847.85	25847.887999999999	25847.921999999999	25847.952000000001	25847.977999999999	25848	25848.018	25848.031999999999	25848.042000000001	25848.047999999999	25848.05	25848.047999999999	25848.042000000001	25848.031999999999	25848.018	25848	25847.977999999999	25847.952000000001	25847.921999999999	25847.887999999999	25847.85	25847.808000000001	25847.761999999999	25847.712	25847.657999999999	25847.599999999999	25847.538	25847.472000000002	25847.402000000002	25847.328000000001	25847.25	25847.168000000001	25847.081999999999	25846.991999999998	25846.898000000001	25846.799999999999	25846.698	25846.592000000001	258	46.482	25846.367999999999	25846.25	25846.128000000001	25846.002	25845.871999999999	25845.738000000001	25845.599999999999	25845.457999999999	25845.312000000002	25845.162	25845.008000000002	25844.85	25844.687999999998	25844.522000000001	25844.351999999999	25844.178	25844	25843.817999999999	25843.632000000001	25843.441999999999	25843.248	25843.05	25842.847999999998	25842.642	25842.432000000001	25842.218000000001	25842	25841.777999999998	25841.552	25841.322	25841.088	25840.85	25840.608	25840.362000000001	25840.112000000001	25839.858	25839.599999999999	25839.338	25839.072	25838.802	25838.527999999998	25838.25	25837.96800000000	1	25837.682000000001	25837.392	25837.098000000002	25836.799999999999	25836.498	25836.191999999999	25835.882000000001	25835.567999999999	25835.25	25834.928	25834.601999999999	25834.272000000001	25833.937999999998	25833.599999999999	25833.258000000002	25832.912	25832.562000000002	25832.207999999999	25831.85	25831.488000000001	25831.121999999999	25830.752	25830.378000000001	25830	25829.617999999999	25829.232	25828.842000000001	25828.448	25828.05	25827.648000000001	25827.241999999998	25826.831999999999	25826.418000000001	25826	25825.578000000001	25825.152000000002	25824.722000000002	25824.288	25823.85	25823.407999999999	25822.962	25822.511999999999	25822.058000000001	25821.599999999999	25821.137999999999	25820.671999999999	25820.202000000001	25819.727999999999	25819.25	25818.768	25818.281999999999	25817.792000000001	25817.297999999999	25816.799999999999	25816.297999999999	25815.792000000001	25815.281999999999	25814.768	25814.25	25813.727999999999	25813.202000000001	25812.671999999999	25812.137999999999	25811.599999999999	25811.058000000001	25810.511999999999	25809.962	25809.407999999999	25808.85	25808.288	25807.722000000002	25807.152000000002	25806.578000000001	25806	25805.418000000001	25804.831999999999	25804.241999999998	25803.648000000001	25803.05	25802.448	25801.842000000001	25801.232	25800.617999999999	25800	25799.378000000001	25798.752	25798.121999999999	25797.488000000001	25796.85	25796.207999999999	25795.562000000002	25794.912	25794.258000000002	25793.599999999999	25792.937999999998	25792.272000000001	25791.601999999999	25790.928	25790.25	25789.567999999999	25788.882000000001	25788.191999999999	25787.498	25786.799999999999	25786.097999999998	25785.392	25784.682000000001	25783.968000000001	25783.25	25782.527999999998	25781.802	25781.072	25780.338	25779.599999999999	25778.858	25778.112000000001	25777.362000000001	25776.608	25775.85	25775.088	25774.322	25773.552	25772.777999999998	25772	25771.218000000001	25770.432000000001	25769.642	25768.847999999998	25768.05	25767.248	25766.441999999999	25765.632000000001	25764.817999999999	25764	25763.178	25762.351999999999	25761.522000000001	25760.687999999998	25759.85	25759.008000000002	25758.162	25757.312000000002	25756.457999999999	25755.599999999999	25754.738000000001	25753.871999999999	25753.002	25752.128000000001	25751.25	25750.367999999999	25749.482	25748.592000000001	25747.698	25746.799999999999	25745.898000000001	25744.991999999998	25744.081999999999	25743.168000000001	25742.25	25741.328000000001	25740.402000000002	25739.472000000002	25738.538	25737.599999999999	25736.657999999999	25735.712	25734.761999999999	25733.808000000001	25732.85	25731.887999999999	25730.921999999999	25729.952000000001	25728.977999999999	25728	25727.018	25726.031999999999	25725.042000000001	25724.047999999999	25723.05	25722.047999999999	25721.042000000001	25720.031999999999	25719.018	25718	25716.977999999999	25715.952000000001	25714.921999999999	25713.887999999999	25712.85	25711.808000000001	25710.761999999999	25709.712	25708.657999999999	25707.599999999999	25706.538	25705.472000000002	25704.401999999998	25703.328000000001	25702.25	25701.168000000001	25700.081999999999	25698.991999999998	25697.898000000001	25696.799999999999	25695.698	25694.592000000001	25693.482	25692.367999999999	25691.25	25690.128000000001	25689.002	25687.871999999999	25686.738000000001	25685.599999999999	25684.457999999999	25683.311999999998	25682.162	25681.008000000002	25679.85	25678.687999999998	25677.522000000001	25676.351999999999	25675.178	25674	25672.817999999999	25671.632000000001	25670.441999999999	25669.248	25668.05	25666.848000000002	25665.642	25664.432000000001	25663.218000000001	25662	25660.777999999998	25659.552	25658.322	25657.088	25655.85	25654.608	25653.362000000001	25652.112000000001	25650.858	25649.599999999999	25648.338	25647.072	25645.802	25644.527999999998	25643.25	25641.968000000001	25640.682000000001	25639.392	25638.097999999998	25636.799999999999	25635.498	25634.191999999999	25632.882000000001	25631.567999999999	25630.25	25628.928	25627.601999999999	25626.272000000001	25624.937999999998	25623.599999999999	25622.258000000002	25620.912	25619.561999999998	25618.207999999999	25616.85	25615.488000000001	25614.121999999999	25612.752	25611.378000000001	25610	25608.617999999999	25607.232	25605.842000000001	25604.448	25603.05	25601.648000000001	25600.241999999998	25598.831999999999	25597.418000000001	25596	25594.578000000001	25593.152000000002	25591.722000000002	25590.288	255	88.85	25587.407999999999	25585.962	25584.511999999999	25583.058000000001	25581.599999999999	25580.137999999999	25578.671999999999	25577.202000000001	25575.727999999999	25574.25	25572.768	25571.281999999999	25569.792000000001	25568.297999999999	25566.799999999999	25565.297999999999	25563.792000000001	25562.281999999999	25560.768	25559.25	25557.727999999999	25556.202000000001	25554.671999999999	25553.137999999999	25551.599999999999	25550.058000000001	25548.511999999999	25546.962	25545.407999999999	25543.85	25542.288	25540.722000000002	25539.151999999998	25537.578000000001	25536	25534.418000000001	25532.831999999999	25531.241999999998	25529.648000000001	25528.05	25526.448	25524.84200000000125523.232	25521.617999999999	25520	Ponto de Interesse	
4.05	25848.05	Aumento
Receita