Question

The total revenue from the sale of x stereos is given by upper r left parenthesis x right parenthesis equals 3 comma 000 left parenthesis 1 minus startfraction x over 700 endfraction right parenthesis squared .r(x)=3,0001− x 7002. find the marginal average​ revenue, upper r overbar prime left parenthesis x right parenthesisr′(x).

Answer 1

For this case we have the following equation:

`r (x) = 3000 (1-x / 700) ^ 2`
We must find the derivative of this function.
The derivative of the function represents the marginal average revenue.
We have then:

`r '(x) = 6000 (1-x / 700) * (- 1/700)`
Simplifying:

`r '(x) = - (60/7) (1-x / 700)`
Answer:
the marginal average revenue is:

`r '(x) = - (60/7) (1-x / 700)`