Explain these questions

(d) Do you agree with the statement? Do you think the current conversation on gender is a productive one? Why or why not? Are we talking about gender too much or too little? Is anything missing from the debate? 8. Three friends are choosing a TV show to watch. Here are their preferences: Rogelio Alyssa Melissa First Choice Money Heist Schilt's Creek Tiger King Second Choice Schitt's Creek Tiger King Money Heist Third Choice Tiger King Money Heist Schill's Creek (a) If the three friends try using a Borda count to make their choice, what would happen? (b) Alyssa suggests a vote by majority rule. She proposes that first they choose between Money Heist and Schitt's Creek, and then they choose between the winner of the first vote and Tiger King. If they all vote their preferences honestly. what outcome would occur? (c) Should Rogelio agree to Alyssa's suggestion? What voting system would he prefer? (d) Melissa and Alyssa convince Rogelio to go along with Alyssa's proposal. In round one, Rogelio dishonestly says he prefers Tiger King over Money Heist. Why might he do this? 9. In the episode, The One with the Inappropriate Sister, Phoebe is trying to collect donations for Christmas. She has the chance to set up her donation booth along a 1-mile route near the big Macy's on Herald Square. There's another volunteer. Phoebe's twin-sister, Ursula who wants to set up her booth on the same block. The volunteers are deciding where to locate their booths along a 1-mile block. The crowd is uniformly located along the block, and each person walking along the block donates exactly $1 per day to the nearest stand. Both Phoebe and Ursula want the maximum number of donors for their respective booths. (a) Where along the block will the two volunteers locate? Why? (b) Why might a political party in a two-party system choose not to move toward the median voter?vote and Tiger King. If they all vote their preferences honestly, what outcome would occur? (c) Should Rogelio agree to Alyssa's suggestion? What voting system would he prefer? (d) Melissa and Alyssa convince Rogelio to go along with Alyssa's proposal. In round one, Rogelio dishonestly says he prefers Tiger King over Money Heist. Why might he do this? 9. In the episode, The One with the Inappropriate Sister, Phoebe is trying to collect donations for Christmas. She has the chance to set up her donation booth along a 1-mile route near the big Macy's on Herald Square. There's another volunteer, Phoebe's twin-sister, Ursula who wants to set up her booth on the same block. The volunteers are deciding where to locate their booths along a 1-mile block. The crowd is uniformly located along the block, and each person walking along the block donates exactly $1 per day to the nearest stand. Both Phoebe and Ursula want the maximum number of donors for their respective booths. (a) Where along the block will the two volunteers locate? Why? (b) Why might a political party in a two-party system choose not to move toward the median voter? 10. A man is debating what to give his girlfriend for her birthday. "I know," he says to himself, "I'll give her cash. After all, I don't know her tastes as well as she does, and with cash, she can buy anything she wants." But when he hands her the money, she is offended. Convinced he doesn't really love her, she breaks off the relationship. (a) Does this situation reflect information asymmetry? How? (b) Describe the signalling process and its effect on the girlfriend's decision to break up. (c) Do you think the girlfriend would be offended if her parents gave her a cash gift? Why/Why not?l5. IS-LM 1. Suppose that C = 0.5(Y T). I = 101} moor. T = 100, and f: = 200. Derive the IS curve using the Keynesian cross model. 2. Suppose that P z 1. Mfr = 200. [MIPF = Y lr. Derive the LM curve from the money' market equilibrium. 3. Draw the IS and LM curves in the same figure. Solve for the equilibrium income ['1'] and the intermt rate (r). 44. Suppose the government expenditure (If?) increased to 35$. How does this change the equilibrium income {Y} and the interest rate [r]? Does this shift the IS curve or the LM curve? In which direction? 5. Now suppose that the government expenditure f? remains at the original level [200) but the money supply {M5} increases to 350 from 200. Hovv does this change the equilibrium income {Y} and the interest rate (r)? Does this shift the IS curve or the LM curve? In which direction? 1. (8 Points) Consider the quadratic regression problem: Yi = Bo + BIXi+ B2X? + ci. Suppose that we have 4 observations (Y1, X1), (Y2, X2), (Y3, X3), (Y4, X4) and they take values (1, 1), (0, 2), (6, 3), (7, 4). The matrix representation of this model is Y = XB + E. Then Y = (1, 0, 6, 7)T, B = (Bo, B1, B2)], and E = (61, (2, (3, EA) T. Answer the following questions with your explanation. (a) What is X in this case? (b) Calculate 3 = (XTX)-1XTY. (c) Find all the eigenvalues of XTX. (d) Is XX positive definite