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?

Answer 1

The function that represents the average manufacturing cost in terms of b is:

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

Total daily cost ( in dollars) of manufacturing scented candles is given by the function

C(b) = 250 + 3b

The number of candles manufactured = b

Therefore, average manufacturing cost

= Total cost / Total number of candles manufactured

For this reason,

A (b) = C(b) / b = $\frac{250+3b}{b}$ = $\frac{250}{b} +3\frac{b}{b}=\frac{250}{b}+3$