Question

The total daily cost (in dollars) of manufacturing scented candles is given by the function C(b) = 250 + 3b, where b is the number of candles manufactured. Which function represents the average manufacturing cost, A, in terms of b?

A. A(b)= b/250 + 3b

B. A(b)=250 + 3b/b

C. A(b)=(250 + 3b) x (b)

D. A(b)=250 + 4b

Answer 1

Average cost is the ratio of total cost and the number of goods. Hence, for this problem:

Average cost=
`(Total cost)/(Number of candles)`

So,
`A(b)=(c(b))/(b)`

Where A(b)= average cost, c(b)= total cost and b= number of candles.

`A(b)=(250+3b)/(b)` Since, c(b)=250+3b

So, the average cost is
`A(b)=(250+3b)/(b)`