(2 points) Let's assume that the 3,538 cars sold by Rolls-Royce in 2011 and that an average price per vehicle of S 200,000 is representative of the company's offerings. The profit associated with the production and sale of Rolls Royce vehicles is the difference between its revenue and the cost to produce the item. (a) The cost to produce the Rolls-Royce can be estimated at $ 250 million of fixed costs (factory maintenance, equipment leasing, labor, etc.) plus $100,000 per vehicle. Write profit P, in thousands of dollars, as a formula involving the price per vehicle, p, and q the quantity of vehicles produced: (b) Write a formula for profit P, still in thousands of dollars, as a function of only p, using the demand model Dp)17.69p P(p)- (c) At what price does the model predict break even is attained? p (d) Compute the location of the vertex of P(p)