Example:The demand and supply functions for a certain product are given by p$=150-\mathrm{.}5$q and p$=\mathrm{.}002$q$^2+1\mathrm{.}5.$ where p is in dollars and q is the number of items. a$.$ Find the equilibrium point. b$.$ Find the consumer surplus at the equilibrium price. c$.$ Find the producer surplus at the equilibrium price. The consumersurplus$=$q$*$ f$($q$)$dq$-$p$*$q$*0$ The producer surplus $=$ p$*$q$*-$q$*$ g$($q$)$dq