The total revenue received from the sale of x units of a product is given by $R(x)=36x^2-x^2+10.$ Arrange the following values in ascending order.

A. marginal revenue at $X=5$

B. average revenue at $X=5$

C. marginal revenue at $X=10$

D. average revenue at $X=10$

Choose the correct answer from the options given below :

B < A < D < C

The correct answer is Option (1) → B < A < D < C

Revenue, $R(x)=36x^2-x^2+10=35x^2+10$

$MR(x)=\frac{dR(x)}{dx}=70x$

$⇒MR(5)=70×5=350$ → (A)

$MR(10)=70×10=700$ → (C)

Now,

Average Revenue, $AR(x)=\frac{R(x)}{x}=35x+\frac{10}{x}$

$⇒AR(5)=35×5+\frac{10}{5}=177$ → (B)

$AR(10)=35×10+\frac{10}{10}=351$ → (D)