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The monthly demand for a certain brand of table wine is given by the demand equation p = 150 1 - - 3 3 + e-0.0005x where p denotes the wholesale price per case (in dollars) and x denotes the number of cases demanded. (a) Find the rate of change of the price per case when x = 1000. (Round your answer to three decimal places. dollars/case2 (b) What is the price per case when x = 1000? (Round your answer to two decimal places.) dollars/case