Need help with this micro Econ question please show all work. Thanks!

You've found the following inverse demand curves for your ski resort: Students : p - 8-0.25q Non - Students : p - 13 -q Adding these together would give you the aggregate demand: P = 13 - q if p>8 P - 9- 0.2q if p58 Finally, you were given the following total cost and marginal cost; TC - 6 + 2q + 0.5q MC = 2+q (a) Graph the inverse demand, marginal revenue, and supply curves for both types. You can graph them together or separately, but make sure to label correctly. (b) Now, let's assume that you can only charge one price (ie - each group pays the same). What is the equilibrium price and quantity if you act as a single-price monopolist? Round to two decimal places as needed. (c) What is your profit at that point? (d) Assume you've now decided to price discriminate. What are the equilibrium prices and quan- tities if you act as a price-discriminating monopolist? Round to two decimal places as needed. (e) What is your profit at that point? (f) What type of price discrimination is this? What do you have to do to make sure you can continue to price discriminate