It's 2024 and the COVID pandemic is over. Georgia Tech students are ready to celebrate! Several enterprising ECON 3110 students organize a group called Coronaless that will throw a party. The number of drinks demanded by a representative student athlete (qi) and Grock life member (q2) is given by 41 = 1800 - 90p 92 = 18010 - 60p where pi and pa are the prices per drink for the student athlete and Greek life member, respectively. Rent for the party venue is 2000 and the cost of party supplies for each attendee is estimated to be 12 per attendee. (4 Points] a) Coronaless requires partygoers to pay a fixed cover charge to enter the party. Each drink can then be purchased for a price p. What should the cover charge be if Coronaless wants to maximize profit. What is the firm's level of profit? What are each group's consumer surplus? [4 Points) b) Suppose Coronaless eliminates the cover charge, but now charges a drink price p to the student athlete and a price pa to the Greek life member? What are the values of p, and pa that maximize Coronaless's profit. What is the firm's level of profit? What are each group's consumer surplus? [4 Points] c) The Tech Administration is outraged that Coronaless is discriminating among students. They threaten to shut the party down unless Coronaless charges a uniform price p to all partygoers and eliminates all cover charges. What is the profit-maximizing price p? What is the firm's profit at this level?' What are each group's consumer surplus? [4 Points] d) Suppose Coronaless is allowed to assess a different cover charge to each student. The price per drink must still be the same for all students. What are the profit-maximizing cover charges for each student? [4 Points] e) Compare the outcomes in (a), (b), (c), and (d). Assume these are the only four possible outcomes. Tech receives a donation that can be used to make all 4 outcomes Pareto efficient. Withdrawals from the donation account are rounded to the nearest integer. The donation money can be distributed to Coronaless, the student athlete, andfor the Greek life member. What is the smallest amount that can be drawn from the donation to make all four outcomes Pareto efficient? If all four outcomes are already Pareto efficient, then please answer 0. [5 Points] () Suppose that Coronaless requires partygoers to pay a fixed cover charge to enter the party and a price p for each drink as in (a). The Greek life community (group ?) threatens to throw its own party if Coronaless does not reduce the cover charge. What is the lowest cover charge that Coronaless would agree to? What price p will Coronaless charge per drink at that cover charge? [4 Points]