A flour mill buys its wheat from two different farms then processes the wheat into flour Wheat from Farm X costs the mill 9 per bushel and wheat from Farm Y costs the mill 15 per bushel The selling price in dollars per bushel for the mill s wheat can be modeled by p x y 1500 x y where is the demand for the flour milled from Farm X s wheat and y is the demand for flour milled from Farm Y s wheat Assume that x and y may be zero so the mill only buys from one of the suppliers and that the mill can by 1 2 of a bushel Then the maximum profit is attained when x bushels bushels y The amount of the flour mill s maximum profit is