Define total, average and marginal revenue.

The demand function is $x=30-2p$, where $x$ is the number of units demanded and $p$ is the price per unit. Find the price for which the revenue is maximum.

The revenue function is given by $\mathrm{R}\left(x\right)=100x-x^2-x^3$.

Find marginal revenue function.

The revenue function is given by $\mathrm{R}\left(x\right)=100x-x^2-x^3$.

Find the demand function.

Represent the union of two sets by Venn diagram for each of the following.

$X=\{x | x$ is a prime number between $80$ and $100\}$

$Y=\{y | y$ is an odd number between $90$ and $100\}$