The total profit P(x) (in thousands of dollars) from a sale of x thousand units of a new product is given by P(x) = In ( -x3 + 9x2+ 48x +1) (0=x= 10) a) Find the number of units that should be sold in order to maximize the total profit. b) What is the maximum profit? . .... a) The number of units that should be sold in order to maximize the total profit is (Simplify your answer.) b) The maximum profit is approximately $ (Do not round until the final answer. Then round to the nearest dollar as needed.)