A theme park is interested in maximizing its profits The marginal cost is equal to $2. The estimated demand for the two groups who attend the amusement park: The (inverse) demand for kids is: = 10 The (inverse) demand for adults is: = 6

Suppose that the park cannot distinguish between the two groups, and therefore has to set the price of the bundles in a way that makes each group buy the bundle that they would like visitors to buy (second-degree price discrimination).

a. What is the bundle that should be sold to kids (high-demand group) if the park can second-degree price discriminate and is selling adults a bundle that includes 4 rides?

b. How much can the park charge for the high-demand bundle if they change the bundle offered to the low-demand group so that it includes three rides instead of four?