Question

The price p​ (in dollars) and the quantity x sold of a certain product obey the demand equation p equals negative one ninth x plus 200 . What is the domain of R?

Answer 1

Answer: Domain :
`0 \leq x\leq 1800`

Step-by-step explanation:

Given :

P =
`-(1)/(9) x+200`

where;

P is the price in dollars.

x is the quantity sold of a certain product.

The revenue R(x) is given as ;

R(x) =
`P* x`

Therefore R(x) =
`-(1)/(9) x^(2) +200x`

To find the domain of R(x), we set R(x)=0

`-(1)/(9) x^(2) +200x` = 0

`x(-(1)/(9) x +200)` = 0

`x = 0 , x = 1800`

Domain of x is :
`0 \leq x\leq 1800`