The total revenue received from the sale of x units of a product is given by $R(X)=36x+3x^2+5 $then sum of marginal and average revenue when $x= 5$ is
Answer & explanation
Correct answer: option 3
The correct answer is option (3) → 118
The total Revenue, $R(x)$ is
$R(x)=36x+3x^2+5$
Marginal Revenue, $MR=\frac{d}{dx}R(x)$
$=\frac{d}{dx}(36x+3x^2+5)$
$=36+6x$
Average Revenue, $AR=\frac{R(x)}{x}$
$=36+3x+\frac{5}{x}$
$AR(5)=36+3(5)+\frac{5}{3}=52$
$MR(5)=36+6××5=66$
$AR+MR=52+66=118$