Given: (x is number of items)
Demand function: d(x)=540.8−0.2x2\displaystyle {d}{\left({x}\right)}={540.8}-{0.2}{x}^{{2}}
Supply function: s(x)=0.6x2\displaystyle {s}{\left({x}\right)}={0.6}{x}^{{2}}

Find the equilibrium quantity:  

Find the producers surplus at the equilibrium quantity:  

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