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

Respuesta :

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

Average cost= [tex] \frac{Total cost}{Number of candles} [/tex]

So, [tex] A(b)=\frac{c(b)}{b} [/tex]

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

[tex] A(b)=\frac{250+3b}{b} [/tex] Since, c(b)=250+3b

So, the average cost is [tex] A(b)=\frac{250+3b}{b} [/tex]