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= $\frac{Total cost}{Number of candles}$

So, $A(b)=\frac{c(b)}{b}$

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

$A(b)=\frac{250+3b}{b}$ Since, c(b)=250+3b

So, the average cost is $A(b)=\frac{250+3b}{b}$