MCR3UZ-A - Functions Real World Problems | Assignment 120 1. Pranshu runs a magazine store and his financial advisor wrote the function P(x) = -2x2 + 40x to represent his profit for the year. P(x) represents the profit in thousands and x represents the number of magazines sold in hundreds. Pranshu needs to use the given equation to analyze how his business is doing. Help Pranshu analyze how his business is doing by answering the following questions. a. Determine the break-even points (when profit is equal to zero) (4 marks)| b. Determine his maximum profit and the number of magazines he needs to sell to maximize profit (4 marks) c. Sketch the graph of the function and indicate the points of interest you determined in part a) and b). (4 marks) 2. The revenue function for a new product is R(x) = 8x7. 75x, where R(x) represents the revenue in thousands of dollars x is the quantity sold, in thousands. The cost function is C(x) =72x - 56. Calculate the maximum profit (recall that profit = revenue - cost). (4 marks) 3. The profit function for a production by a theater group is P(x) = -40x2 1 400x - 700, where x is the ticket price in dollars. Determine the highest ticket price that will allow the production to break even. (4 marks)