Given:
The units sold follows the equation
[tex]U = 10000-2000P[/tex]
To find:
An equation for sales as a function of price.
Solution:
Let S represents the sales function.
We know that, the money from sales is equal to the units sold times the price P of the unit.
[tex]S=U\times P[/tex]
[tex]S=(10000-2000P)\times P[/tex]
Using distributive property, we get
[tex]S=10000P-2000P^2[/tex]
Therefore, the equation for sales as a function of price is [tex]S=10000P-2000P^2[/tex].
