The accompainying table gives price supply data for the sale of hogs at a livestock market, where x is the number of pounds (in thousands) and p is the price per pound (in cents):
(A) Using quadratic regression to model the data, find the demand at a price of 52.50 cents per pound.
(B) Use a numerical integration routine to find the producers surplus (to the nearest dollar) at a price level of 52.50 cents per pound.