The function that represents the average manufacturing cost in terms of b is:
A(b) = [tex]\frac{250}{b}+3[/tex]
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 = [tex]\frac{250+3b}{b}[/tex] = [tex]\frac{250}{b} +3\frac{b}{b}=\frac{250}{b}+3[/tex]