Question

. The units sold follows the equation U = 10000 – 2000P. The money from sales is equal to the units sold times the price P of the unit. Write an equation for sales as a function of price.​

Answer 1

Given:

The units sold follows the equation

$U = 10000-2000P$

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.

$S=U\times P$

$S=(10000-2000P)\times P$

Using distributive property, we get

$S=10000P-2000P^2$

Therefore, the equation for sales as a function of price is $S=10000P-2000P^2$.