O Que São Isoquantas? (com exemplos)

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Sabe-se que as isoquantas são curvas que mostram todas as combinações possíveis de insumos que geram o mesmo volume de produção. São o resultado de se ligarem pontos que representam diferentes combinações dos fatores, mas que resultam em um mesmo nível de produção (analogia: uma isoquanta é uma curva de nível que ao invés de ligar pontos de mesma cota, ligam pontos de mesma quantidade produzida). 

Nesse contexto, é importante saber que a taxa marginal de substituição técnica (TMST) representa o que uma empresa pode substituir de um fator produtivo por outro, mantendo o mesmo nível de produção. Num mapa de curvas isoquantas a taxa marginal de substituição técnica, é dada pela inclinação da curva que passa no ponto que representa da referida combinação de fatores de produção.

As Isoquantas nunca se cruzam. O ponto óptimo para cada isoquanta é dado pela intersecção entre os custos totais como a própria isoquanta. Nesse ponto é possível produzir determinada quantidade (valor da isoquanta) com o menor valor de cada fator produtivo.  Os números representam a quantidade de produtos fabricados. 

Mais algumas informações:

  • Quanto maior o nível de produção, mais afastada da origem a curva se torna; 
  • As isoquantas são negativamente inclinadas;
  • Diversas isoquantas geram um mapa de isoquantas;
  • As isoquantas permitem o produtor reagir eficientemente às mudanças nos mercados de insumos, devido à flexibilidade do uso de insumos;
  • As isoquantas são convexas com relação à origem. 

QUESTÃO CERTA: Supondo-se que o Município de Piripiri − PI pretende ampliar seu programa de coleta seletiva de lixo, triplicando a capacidade de reciclagem de seu pequeno centro de triagem de resíduos sólidos, e que estudos apontaram que este centro pode apresentar rendimentos crescentes de escala. A partir deste dado, mantendo-se todos as demais variáveis econômicas constantes, neste caso, em um gráfico em que se relacionam dois insumos, como capital e trabalho, tem-se isoquantas de produção de recicláveis cada vez mais próximas, conforme os insumos empregados no centro de triagem aumentam.

Rendimentos de escala representam quanto a quantidade produzida varia quando ocorrem variações nas quantidades empregadas de todos os fatores de produção (como o capital e a mão de obra, por exemplo). 

Rendimentos crescentes de escala ocorrem quando o volume de produção aumenta mais que proporcionalmente o aumento da quantidade de fatores de produção utilizados. Se o volume de produção aumenta menos que o aumento da quantidade de fatores de produção utilizados, dizemos que são rendimentos decrescentes de escala. Se há aumento da produção em paridade com o aumento dos fatores de produção, é porque há rendimentos constantes de escala. 

Na Figura acima, quando o processo produtivo de uma empresa exibe rendimentos crescentes de escala, que podem ser observados por meio de um deslocamento do ponto 0 até o ponto A, percorrendo-se o raio 0P, as isoquantas tornam-se cada vez mais próximas umas das outras.  Entretanto, quando há rendimentos decrescentes de escala, que podem ser observadas por meio de um deslocamento do ponto A até o ponto P, as isoquantas tornam-se cada vez mais distantes umas das outras.

QUESTÃO CERTA: A inclinação da isoquanta em cada ponto representa a taxa marginal de substituição técnica, que é representada pela proporção de troca entre os insumos.

Quando existem dois fatores de produção que podem variar, a empresa pode substituir um pelo outro e ainda manter a produção constante, assim tem-se a taxa marginal de substituição técnica. A TMST para o capital representa a quantidade que se pode reduzir o fator capital, quando se utiliza uma unidade extra do fator trabalho e manter a produção constante. TMST para o trabalho é a quantidade que se pode reduzir o fator trabalho, quando se utiliza uma unidade extra do fator capital e manter a produção constante. É o que temos na Figura abaixo (apesar de não se referir a fatores de produção – é muito semelhante). 

CEBRASPE (2016):

QUESTÃO ERRADA: A taxa marginal de substituição técnica em cada ponto da isoquanta corresponde à quantidade de capital que pode ser substituída por determinada quantidade de trabalho com o objetivo de aumentar a produção.

Taxa marginal de substituição técnica (TMGST) (taxa técnica): quanto de certa quantidade de fator de produção deve ser substituído por outra para que a empresa mantenha constante a produção.

Isoquanta = a mesma quantidade produzida independente das variações entre os fatores de produção. Não vai aumentar nada. Basta ter em mente que na isoquanta não há variação de produção. Há apenas combinação de fatores para uma mesma produtividade. Só com isso já poderia marcar errado.

A taxa marginal de substituição técnica em cada ponto da isoquanta corresponde à quantidade de capital que pode ser substituída por determinada quantidade de trabalho com o objetivo de manter o mesmo nível de produção.

Taxa marginal de substituição técnica (TMGST) (taxa técnica): quanto de certa quantidade de fator de produção deve ser substituído por outra para que a empresa mantenha constante a produção.

CEBRASPE (2019):

QUESTÃO CERTA: Uma combinação de fatores de produção só pode levar a um único nível de produção.

Quando uma mesma combinação de fatores de produção proporciona dois níveis distintos de produção, tem-se um absurdo do ponto de vista produtivo. Isto porque as isoquantas não se cruzam nunca.

CEBRASPE (2017):

QUESTÃO ERRADA: Diz-se que uma firma possui produção constante quando uma determinada combinação de seus fatores de produção proporciona dois níveis distintos de produção.

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Na verdade, dado que a produção é constante, uma determinada combinação de seus fatores de produção proporciona o MESMO nível de produção.

CEBRASPE (2016):

QUESTÃO CERTA: Considere uma função de produção que utilize capital (K) e trabalho (L), estando as isoquantas dessa produção (Q) descritas na figura apresentada.

A partir desses dados, julgue o item que se segue. A referida função de produção apresenta rendimentos constantes à escala.

Como vimos anteriormente, rendimentos constantes à escala indicam que a produção aumenta de forma paritária ao aumento dos fatores de produção, ou seja, de modo constante (é o que se depreende das retas do gráfico). 

CEBRASPE (2014):

QUESTÃO ERRADA: A isoquanta é o lugar geométrico dos pontos em que a taxa marginal de substituição técnica permanece constante para vários níveis de produção Q.

A isoquanta é a representação gráfica das quantidades de fatores de produção que geram o mesmo nível de produção. Ou seja, a isoquanta reflete a combinação dos fatores de produção que retornam o mesmo nível de produção. Assim, a isoquanta não é o lugar onde a TMgST permanece constante (até porque a TMgST varia ao longo da isoquanta).

ISOQUANTA (ISO = igual; QUANTA = quantidade) ==> ocorrem quando os pontos ao longo da curva geram a mesma produção – e essa curva é que é a isoquanta.

TMgST ==> é o termo que define a inclinação da isoquanta; como a TMgST é decrescente, a inclinação também será. Ou seja, a questão erra ao afirmar que a TMgST permanece “constante”!

As isoquantas apresentadas representam o capital e o trabalho como substitutos perfeitos na produção.

Casos especiais de isoquantas

Função de produção de insumos substitutos perfeitos: Quando os dois fatores de produção são substitutos perfeitos, a TMgST é constante e as isoquantas serão linhas retas.  Q (K, L) = a.K + b.L

Função de produção de complementares fixas ou perfeitos (Leontief): Quando os dois fatores de produção são complementares perfeitos, a firma deverá aumentar a quantidade dos insumos em proporções fixas, caso queira aumentar a produção. Neste caso, as isoquantas terão o formato de um L.    Q (K, L) = min(K, L).

QUESTÃO ERRADA: A isoquanta é uma curva que representa as combinações de fatores de produção que resultam na mesma quantidade de produto. O ponto ótimo de uma isoquanta é dado pela intersecção com outra isoquanta que descreve combinações de outros fatores de produção.

ponto ótimo ocorre quando a isoquanta tangencia a curva de isocusto (a inclinação da isoquanta é igual a inclinação da isocusto).

QUESTÃO CERTA: Conforme a teoria econômica, em um mercado onde a empresa não consegue afetar o preço do bem que ela própria produz, o nível máximo de produção a ser atingido é determinado pelo ponto em que a isoquanta mais alta tangencia a isocusto. A inclinação da isocusto, nesse ponto de tangência, será igual: à taxa marginal de substituição técnica.

A linha de isocusto mostra todas as combinações de insumos que podem ser adquiridos com um determinado custo total.

A combinação perfeita de produção deve satisfazer duas condições:

-> está sobre a linha de isocusto;

-> fornecer ao produtor sua combinação perfeita de insumos.

Nesse ponto, a inclinação da linha de isocusto será igual a TMST. Lembrando que a taxa marginal de substituição técnica (TmgST) é constante, NÃO depende do preço do bem ou da renda do consumidor. Dada uma linha da isocustos qualquer, uma firma atinge o seu equilíbrio quando a linha de isocustos tangencia a isoquanta mais alta possível (maior produção). Quando isso ocorrer, a inclinação da linha de isoquanta vai se igualar a linha de isocustos. Lembrando que a inclinação da linha de isoquanta é denominada Taxa Marginal de Substituição técnica.

QUESTÃO CERTA: Considerando a teoria da produção e os principais resultados relacionados às curvas de custo, assinale a opção correta: se a taxa marginal de substituição técnica é decrescente, a isoquanta é convexa.

QUESTÃO ERRADA As curvas isoquantas mostram as diferentes quantidades que podem ser produzidas com a mesma quantidade de dois insumos de produção.

QUESTÃO ERRADA Considere que, para se fazer buracos, sejam necessários apenas um homem e uma pá. Nesse caso, as curvas isoquantas são semelhantes às do caso dos bens substitutos perfeitos na teoria do consumidor.

 

 

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