Please Show All Work, if needed! Place answers in ANSWER box, if provided. 1. (10 points) Suppose the supply function for a certain item is given by S(x) = x+/0x, and the demand function is given by D(x) = 900-20x-x', determine the following: a) Find the equilibrium point. la) b) Find the consumer surplus at the equilibrium point. 1b) c) Find the producer surplus at the equilibrium point. Ic) Let p = D(x) be the consumer's demand function. The consumer's surplus is defined for the equilibrium point (q*, p*) as: Consumer Surplus=CS={" D(x)dx p'q Let p = S(x) be the producer's supply function. The producer's surplus is defined for the equilibrium point (q*, p*) as: Producer's Surplus=PS=p*q* i S(x)dx