(This question has various steps, please answer and explain which formulas were used please.)

Harden is the manager of various stadiums, the demand curve facing the stadium is:

Number of Seats Sold = 100 - 0.4 x Price

The variable cost of serving each seated customer is $50. There is no fixed cost. (For questions where Renee charges multiple prices, assume that there are segmentation fences in place such that the customers with higher WTP will pay the higher price.)

a. What is the maximum WTP in the market?

b. If Harden charges a price of $100 per seat, what is the profit for each Stadium?

c. If the price is $100 per seat, how much is the "Money Left on the Table"?

d. If Renee charges 2 prices, $120 (High Price) and $80 (Low Price), what is the profit for each Stadium?

e. If Harden charges 2 prices, $120 (High Price) and $80 (Low Price), how much is the "Money Left on the Table"?

f. If Harden charges 2 prices, $120 (High Price) and $80 (Low Price), how much is the "Pass-Up Profit"?

g. If Harden charges 3 prices, $160 (High Price), $130 (Medium Price), and $100 (Low Price), what is the profit for each stadium?

h. If Harden charges a single price, what is the optimal price and what is the profit?

i. If Harden were to charge 2 prices, a "High Price" and a "Low Price", what are the optimal prices? What is the maximum profit at those optimal prices? State your answers very clearly, including showing the profit function and the equations for calculating the optimal High Price and Low Price