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The John Deere company has found that the revenue from sales of heavy-duty tractors is a function of the unit price p that it charges. The revenue R is given by the following function.
R(p) = (-1/2)p^2 + 1960 p
(a) What unit price p should be charged to maximize revenue? Give your answer correct to the nearest dollar.$
(b) What is the maximum revenue? Give your answer correct to the nearest dollar.$
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