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The tables to the right give price-demand and price-supply data for the sale of soybeans at a grain market, where x is the number of
The tables to the right give price-demand and price-supply data for the sale of soybeans at a grain market, where x is the number of bushels of soybeans (in thousands of bushels) and p is the price per bushel (in dollars). Use quadratic regression to model the price-demand data and linear regression to model the price-supply data. Complete parts (A) and (B) below. (A) Find the equilibrium quantity and equilibrium price. The equilibrium quantity is thousand bushels. (Round to three decimal places as needed.) The equilibrium price is $ per bushel. (Round to the nearest cent as needed.) (B) Use a numerical integration routine to find the consumers' surplus and producers' surplus at the equilibrium price level. The consumers' surplus is $. (Round to the nearest dollar as needed.) The producers' surplus is $. (Round to the nearest dollar as needed.) The tables to the right give price-demand and price-supply data for the sale of soybeans at a grain market, where x is the number of bushels of soybeans (in thousands of bushels) and p is the price per bushel (in dollars). Use quadratic regression to model the price-demand data and linear regression to model the price-supply data. Complete parts (A) and (B) below. (A) Find the equilibrium quantity and equilibrium price. The equilibrium quantity is thousand bushels. (Round to three decimal places as needed.) The equilibrium price is $ per bushel. (Round to the nearest cent as needed.) (B) Use a numerical integration routine to find the consumers' surplus and producers' surplus at the equilibrium price level. The consumers' surplus is $. (Round to the nearest dollar as needed.) The producers' surplus is $. (Round to the nearest dollar as needed.)
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