Given: (x is number of items)
Demand function: d(x)=2500x\displaystyle {d}{\left({x}\right)}=\frac{{2500}}{\sqrt{{{x}}}}
Supply function: s(x)=4x\displaystyle {s}{\left({x}\right)}={4}\sqrt{{{x}}}

Find the equilibrium quantity:   items

Find the producer surplus at the equilibrium quantity: $  

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