You are the manager of an amusement park. You choose the cost of entry E as well as the price per ride P to maximize the profit of the park. There are 2 possible consumers: Vanessa and her grandfather. Vanessa likes the rides, while her grandfather only takes selfies with roller-coasters in the background. If they go to the park, they derive the following utilities (in Euros): UV anessa = 10x x 2 xP E and UGrandfather = 100 xP E, where x is the number of rides. If a consumer does not go to the park, his utility is 0. Assume it is costless for the park to provide a ride. 1. Suppose you want Vanessa and her grandfather to go to the park (i.e. both consumers must prefer to go to the park). What would you charge for E and P? What is the revenue for the park? 2. Does the solution found in 1. maximize profit? Explain.