*Hello, need help with the two questions below. thank you!

1. Suppose you have two customer types (in equal proportions) looking at purchasing hotel rooms. There are two types of hotel rooms - rooms with a view, and rooms without a view. If the customer is indifferent between buying something and buying nothing, they default to buying something. If the customer is indifferent between the room with the view and the room without the view, they default to buying the room with the view. That is, the tie goes to the "better" option. Suppose your marginal cost of providing each room is zero and if you need to, you can sell every customer the same type of room. Additionally, you need not offer every type of room. Your goal is to set prices for the two room types such that you maximize your profit.

Scenario A Customer Type 1: Utility(View) = 450 - p, Utility(No View) = 295 - p. Customer Type 2: Utility(View) = 260 - p, Utility(NoView) = 200 - p. What price should you charge for the room with the view? What price should you charge for the room without the view?

Scenario B Customer Type 1: Utility(View) = 450 - p, Utility(No View) = 400 - p. Customer Type 2: Utility(View) = 220 - p, Utility(NoView) = 175 - p. What price should you charge for the room with the view? What price should you charge for the room without the view?

Scenario C Customer Type 1: Utility(View) = 450 - p, Utility(No View) = 440 - p. Customer Type 2: Utility(View) = 260 - p, Utility(NoView) = 175 - p. What price should you charge for the room with the view? What price should you charge for the room without the view?

2. You bought a patent for a molecule that will cure a major illness for $70 billion. You expect that you can sell 2,000,000 units per year. Your marginal cost of production is only $1. You face a constant elasticity demand curve where the price elasticity of demand is -1.00015. You are worried that if you aren't profitable 5 years, you may be fired. What price should you set?