O Que É Função Oferta? Como Calcular?

398
1581

A função oferta representa a relação entre o preço de mercado de um bem e a quantidade desse mesmo bem que os produtores estão dispostos a produzir e a vender. À representação gráfica da função oferta é dada a designação de curva da oferta.

Fonte: https://knoow.net/cienceconempr/economia/funcao-oferta/#:~:text=de%20Fun%C3%A7%C3%A3o%20Oferta-,A%20fun%C3%A7%C3%A3o%20oferta%20representa%20a%20rela%C3%A7%C3%A3o%20entre%20o%20pre%C3%A7o%20de,designa%C3%A7%C3%A3o%20de%20curva%20da%20oferta.

VUNESP (2023):

QUESTÃO CERTA: Em um mercado em concorrência perfeita, existem 50 empresas idênticas atuando, sendo que o custo de cada uma delas é dado por C = q+ 10q + 2, em que q é a quantidade produzida por cada empresa. A função oferta desse mercado é dada por: Q = 25p –250.

R’ = C’

P = 2Q + 10

Q = P/2 – 5

50Q = 25P – 250

OBJETIVA (2012):

QUESTÃO CERTA: Analisar as funções de demanda e oferta de mercado para determinado bem X, sendo P o preço do bem X, D a quantidade demanda Função Demanda do bem X: D = 55 – 10P Função Oferta do bem X: S = 5 + 15P Assinalar a alternativa que apresenta respectivamente o preço (P) e quantidade (Q) de equilíbrio desse mercado: P = 2 e Q = 35.

Ponto de Equilíbrio é: D = S

55 – 10P = 5 + 15P

55 – 5 = 15P + 10P

50 = 25P

P = 2

Basta substituir:

D = 55 – 10P

D = 55 – 10.2

D = 35

UPENET/IAUPE (2016):

QUESTÃO CERTA: O ponto de interseção das curvas de oferta O e demanda D é chamado de “ponto de equilíbrio de mercado”. A abscissa desse ponto (preço de equilíbrio) é o preço de mercado para o qual a oferta é igual à demanda, ou seja, o preço para o qual não há escassez nem excesso do produto. Na figura abaixo, temos o esboço dos gráficos da função oferta O(x) = x2

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 + x – 460 e da função demanda D(x) = 500 – x de certo produto, onde P é o ponto de equilíbrio.

Qual é a demanda desse produto no mercado, quando ele estiver sendo oferecido pelo preço de equilíbrio? 470 unidades.

SOLUÇÃO:

O ponto de equilíbrio ocorre quando as funções assumem os mesmos valores. Vamos descobri-lo:

x² + x – 460 = 500 – x

x² + x +x – 500 – 460 = 0

x² + 2x – 960 = 0

Resolvendo a equação do segundo grau pelo método da soma e produto:

S = -b/a = -2/1 = -2

P = c/a = -960/1 = -960

Como o preço não pode ser negativo, temos que x = 30.

raiz quadrade de 960 = 30 e uns quebrado, então preferiri trabalhar apenas com o inteiro .

Agora basta utilizarmos qualquer das funções para calcularmos a demanda. Vamos utilizar a mais fácil:

D(30) = 500 – 30 = 470

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