Given: (x is number of items)
Demand function: d(x)=370.30.2x2\displaystyle {d}{\left({x}\right)}={370.3}-{0.2}{x}^{{2}}
Supply function: s(x)=0.5x2\displaystyle {s}{\left({x}\right)}={0.5}{x}^{{2}}

Find the equilibrium quantity:  

Find the consumers surplus at the equilibrium quantity: