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$53.00, unit sold. What is the new break-even point?
195
likes974 views
Answer to a math question Considering that the monthly fixed cost of sandwich production by a company fast food is R$ 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?
Gene
4.5108 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}
Substituindo os valores dados:
2) Com o novo custo fixo:
3) Com o novo custo fixo e custo variável:
4) Com o novo preço:
Frequently asked questions (FAQs)
What is the slope of a line passing through the points (2,4) and (-3,7)?
+
What is the graph of an exponential function given by f(x) = 2^x?
+
What is the scientific notation of 1,500,000?
+
New questions in Mathematics