Question 1150265


demand curve: {{{p(q)=583-q^2}}} 
supply curve: {{{p(q)=1.2q^2}}}

  The equilibrium point is where the supply and demand functions are equal. 


{{{583-q^2=1.2q^2}}}

{{{583=1.2q^2+q^2}}}

{{{583=2.2q^2}}}

{{{q^2=583/2.2}}}

{{{q^2=265}}}

{{{q=sqrt(265)}}}

{{{q=16.28}}}


The producer surplus at equilibrium is ​${{{16.28}}}.