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masha68 [24]
3 years ago
14

1) Uma produtora pretende lançar um filme em dvd e prevê uma venda de 20.000 cópias. O custo fixo de produção do filme foi R$ 15

0.000,00 e o custo por unidade foi de R$ 20,00 (dvd virgem, processo de copiar e embalagem). Qual o preço mínimo que deverá ser cobrado por dvd, para não haver prejuízo?
Mathematics
1 answer:
vichka [17]3 years ago
4 0

Answer:

The minimum price that should be charged for dvd, so there is no loss = R $ 27.5

O preço mínimo que deve ser cobrado pelo dvd, para que não haja perda = R $27,5

Step-by-step explanation:

English Translation

A production company plans to release a movie on DVD and plans to sell 20,000 copies. The fixed cost of producing the film was R $ 150,000.00 and the cost per unit was R $ 20.00 (blank DVD, copying and packaging process). What is the minimum price that should be charged for dvd, so there is no loss?

Total cost of production

= (Fixed Cost) + (Variable Cost)

Fixed Cost = R $ 150,000.00

Variable Cost = (Cost of production per unit) × (quantity produced) = 20 × 20000

= R $400,000

Total cost of production = 150,000 + 400,000

= R $ 550,000

Total revenue = (Quantity available) × (Price of 1 unit)

Let the price of 1 unit be p

Total revenue = 20000 × P = 20000p

Profit = (Total revenue) - (Total Cost of production)

For the minimum price that the should be charged for dvd, so there is no loss, profit = 0

So,

Profit = (Total revenue) - (Total Cost of production) = 0

20000p - 550000 = 0

p = (550000/20000) = R $ 27.5

In Portugese/Em português

Custo total de produção

= (Custo fixo) + (custo variável)

Custo Fixo = R $ 150.000,00

Custo variável = (Custo de produção por unidade) × (quantidade produzida) = 20 × 20000 = R $ 400.000

Custo total de produção = 150.000 + 400.000

= R $ 550.000

Receita total = (quantidade disponível) × (preço de 1 unidade)

Seja o preço de 1 unidade p

Receita total = 20000 × P = 20000p

Lucro = (receita total) - (custo total de produção)

Pelo preço mínimo que deve ser cobrado pelo dvd, para que não haja perda, lucro = 0

Assim,

Lucro = (receita total) - (custo total de produção) = 0

20000p - 550000 = 0

p = (550000/20000) = R $ 27,5

Hope this Helps!!!

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