(a) the cost to produce the rolls-royce can be estimated at $260 million of fixed costs (factory maintenance, equipment leasing, labor, etc.) plus $9 per vehicle. write profit p, in thousands of dollars, as a formula involving the price per vehicle, p (in thousands of dollars), and q the quantity of vehicles produced: p= (b) in 2011, rolls-royce sold 3538 cars at an average price per vehicle of $200 thousand. assume that the demand for these vehicles is proportional to the price, p, in thousands of dollars, and write a formula for the quantity of rolls-royce vehicles demanded as a function of p. q=d(p)= (c) use the demand model from part (b) to rewrite your profit formula from part (a) so that p is a function of only p. p(p)= (d) at what price does the model predict break even is attained? price: thousand dollars (e) what is the value of profit at the vertex of the quadratic? [note: this is not the company's maximum profit! why? ] maximum: thousand dollars