we have that
[tex]R=-1,320p^2+57,000p[/tex]
and
[tex]E=-12,500p+81,000[/tex]
therefore
The profit function is equal to
Remember that
profit is equal to total revenue minus total cost
so
[tex]P=-1,320p^2+57,000p-(-12,500p+81,000)[/tex]
Simplify
[tex]\begin{gathered} P=-1,320p^2+57,000p+12,500p-81,000 \\ P=-1,320p^2+69,500p-81,000 \end{gathered}[/tex]
