a company is planning to manufacture mountain bikes. the fixed monthly cost will be $200,000 and it will…

a company is planning to manufacture mountain bikes. the fixed monthly cost will be $200,000 and it will cost $100 to produce each bicycle.\na. write the cost function, c, of producing x mountain bikes per month.\nc(x) = 200000 + 100x\nb. write the average cost function, $overline{c}$, of producing x mountain bikes per month.\n$overline{c}(x)=square$

a company is planning to manufacture mountain bikes. the fixed monthly cost will be $200,000 and it will cost $100 to produce each bicycle.\na. write the cost function, c, of producing x mountain bikes per month.\nc(x) = 200000 + 100x\nb. write the average cost function, $overline{c}$, of producing x mountain bikes per month.\n$overline{c}(x)=square$

Answer

Explanation:

Step1: Recall average - cost formula

The average - cost function $\overline{C}(x)$ is given by the total cost function $C(x)$ divided by the number of units $x$.

Step2: Substitute the cost function

We know that $C(x)=200000 + 100x$. So, $\overline{C}(x)=\frac{C(x)}{x}=\frac{200000 + 100x}{x}$.

Answer:

$\frac{200000 + 100x}{x}$