Question 1056699
I'll do the answers backwards,
c){{{P(x)=2500+36x-0.2x^2}}}
{{{dP/dx=36-0.4x}}}
An increase in profits occurs as long as the derivative is greater than zero.
{{{dP/dx>0}}}
{{{36-0.4x>0}}}
{{{-0.4x>-36}}}
{{{x<36/(0.4)}}}
{{{x<90}}}
b) {{{60<90}}}, yes
a) {{{300>90}}},no