You are starting a business selling t-shirts. Based on some data you've gathered from researching
similar existing companies, you expect that the total number of shirts you sell per month S as a
function of the price of the shirt x roughly follows the function:
s(x)=80-2x for 0≤x≤80
As you sell more shirts, your company's reputation grows stronger and you can negotiate better deals
from your suppliers. The cost C of manufacturing all of your shirts for one month is given by:
C=500-s
Find a formula for the net profit P (total dollars from sales minus total dollars spent on costs) of your company in one month as a function of the price of your shirts x.