The cost of producing x units of a product is modeled by $C = 800 + 700 x - 700 \ln x,$ $x \geq 1$ . Find the average cost function $\overline{ C }$ .
A) $C = \frac { 800 } { x } + \frac { 700 } { x } - \frac { 700 \ln x } { x }$
B) $C = \frac { 800 } { x } + 700 - 700 \ln x$
C) $C = \frac { 800 } { x } + 700 - \frac { 700 \ln x } { x }$
D) $C = 800 + 700 - \frac { 700 \ln x } { x }$
E) $C = 800 + \frac { 700 } { x } - 700 \ln x$

Question

Quizplus · Accepted Answer

The average cost function $\overline{C}$ is found by dividing the total cost $C$ by the number of units $x$, which gives $\overline{C} = \frac{800}{x} + 700 - \frac{700 \ln x}{x}$.

The Cost of Producing X Units of a Product Is C=800+700x−700ln⁡x,C = 800 + 700 x - 700 \ln x,C=800+700x−700lnx,

The Cost of Producing X Units of a Product Is $C = 800 + 700 x - 700 \ln x,$