Find the Average cost for producing 400 books if the average function is $\mathrm { A } ( x ) = \frac { C ( x ) } { x }$ where $C ( x ) = 6.5 x + 3000$
A)$14.00
B)$66.50
C)$21.50
D)$6.50

Question

Quizplus · Accepted Answer

The average cost function $A(x) = \frac{C(x)}{x}$ calculates the cost per unit (book in this case). Given $C(x) = 6.5x + 3000$, to find the average cost for producing 400 books, substitute $x = 400$ into the average cost function: $A(400) = \frac{6.5(400) + 3000}{400} = \frac{2600 + 3000}{400} = \frac{5600}{400} = 14$.

Find the Average Cost for Producing 400 Books If the Average