Question

A company sells 100 - 0.5x shirts

when it charges %x per shirt. How
many dollars per shirt should the
company charge in order to make
$5,000 on shirt sales?​

Answer 1

$100

Explanation:

We are given that

Company sells shirts=100-0.5x

Charge per shirt=x

We have to find the charge per shirt in order to make $5000 on shirt sales.

According to question

`x(100-0.5x)=5000`

`100x-0.5x^2=5000`

`0.5x^2-100x+5000=0`

`5x^2-1000x+50000=0`

`x^2-200x+10000=0`

`x^2-2* x* 100+(100)^2=0`

`(x-100)^2=0`

`x=100,100`

Hence, charge per shirt=$100