The demand for a particular item is given by the function D (x) = 2,000 - 3x². Find the consumer's surplus if the equilibrium price of a unit $125. The consumer's surplus is $

A company determines that its weekly profit from manufacturing and selling x units of a certain item is given by Px=-x3+3x2+2880x-500. Use a graphing utility to find the weekly production rate that will maximize the profit.