The supply function of a good is given by Ps=Q2-2Q+12. Determine the producer surplus if ten units are supplied (Q=10)at price P.
If Q = 10, then P=102−2∗10+12=92.P = 10^2 - 2*10 + 12 = 92.P=102−2∗10+12=92.
If Q = 0, then P = 12.
The producer surplus is: PS=0.5∗10∗(92−12)=400.PS = 0.5*10*(92 - 12) = 400.PS=0.5∗10∗(92−12)=400.
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