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.

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Price-Supply p = S(x) 43.50 10 46.74 20 50.05 30 54.72 40 59.18