A new Telsa manufacturing plant in Sothern Ontario plans to start manufacturing Telsa Model 3 based on the following cost of production: C(x)=15+20x+2.4x X 0 Where x is the number of Model 3 cars manufactured in thousands; and C(x) is the cost of production in $ million. Telsa is estimating the price of each Model 3 at $45 thousand. wwwwwwww a) Determine the profit function: (5 points) b) Determine the number of Model 3 cars that will allow the plant to break-even. Justify your answer. (5 points) c) Determine the number of Model 3 cars that maximize profit and the maximum profit. (5 points)