Question 1055223
Convert the revenue function to vertex form,
{{{R(p)=-0.1p^2+900p}}}
{{{R(p)=-0.1(p^2-9000p)}}}
{{{R(p)=-0.1(p^2-9000p+4500^2)+0.1(4500)^2}}}
{{{R(p)=-0.1(p-4500)^2+2025000}}}
So the {{{R[max]=2025000}}} occurs when {{{p=4500}}}.