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Considering that the monthly fixed cost of sandwich production by a company fast food is R$ 100,000.00, that the average variable cost is R$ 25.00 and that the unit cost is sold for R$48.00, answer the questions: 1) What quantity is sold to cover the company's monthly costs? 2) Consider that the company's fixed cost increases to R$ 112,000.00 per month. What is the new balance point? 3) Based on question 2, consider that the average variable cost has increased to R$ 35.00. What is the new break-even point? 4) From question 3, consider that prices have increased to R$53.00, unit sold. What is the new break-even point?

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Answer to a math question Considering that the monthly fixed cost of sandwich production by a company fast food is R$ 100,000.00, that the average variable cost is R$ 25.00 and that the unit cost is sold for R$48.00, answer the questions: 1) What quantity is sold to cover the company's monthly costs? 2) Consider that the company's fixed cost increases to R$ 112,000.00 per month. What is the new balance point? 3) Based on question 2, consider that the average variable cost has increased to R$ 35.00. What is the new break-even point? 4) From question 3, consider that prices have increased to R$53.00, unit sold. What is the new break-even point?

Expert avatar
Gene
4.5
108 Answers
1) O ponto de equilíbrio é encontrado quando a receita é igual aos custos. Definido por:

n \times (p - cv) = CF

Substituindo os valores dados:

n \times (48 - 25) = 100000

n \times 23 = 100000

n = \frac{100000}{23} = 4347,826 ≈ 4348 \text{ unidades}

2) Com o novo custo fixo:

n \times (48 - 25) = 112000

n \times 23 = 112000

n=\frac{112000}{23}=4869,565≈4870\text{ unidades}

3) Com o novo custo fixo e custo variável:

n \times (48 - 35) = 112000

n \times 13 = 112000

n=\frac{112000}{13}=8615,384≈8615\text{ unidades}

4) Com o novo preço:

n \times (53 - 35) = 112000

n \times 18 = 112000

n = \frac{112000}{18} = 6222,222 ≈ 6222 \text{ unidades}

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