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:
 $r '(x) = - (60/7) (1-x / 700)$