Harold wants to increase the number of MP3 songs he owns so he can play them on his long commute to work each day. He shops on one of the world's largest online retailers in search for the MP3s that will give him as much utility as possible, given his $50 entertainment budget. Harold starts his collection by purchasing 5 MP3 songs by his favorite artist at $3 each. Fifteen days later, he receives an email stating that MP3s are on sale for repeat customers at $1 each, while all other prices remain the same, so he decides to purchase 10 of them. Given this information, plot Harold's demand curve for MP3songs.

Suppose a firm faces a fixed price of output, 푝푝= 1200. the firm hires workers from a union at a daily wage, 푤푤, to produce output according to the production function 푞푞= 2퐸퐸12. there are 225 workers in the union. any union worker who does not work for this firm is guaranteed to find nonunion employment at a wage of $96 per day. a.what is the firm’s labor demand function? b.if the firm is allowed to choose 푤푤, but then the union decides how many workers to provide (up to 225) at that wage, what wage will the firm set? how many workers will the union provide? what is the firm’s output and profit? what is the total income of the 225 union workers? c.now suppose that the union sets the wage, but the firm decides how many workers to hire at that wage (up to 225). what wage will the union set to maximize the total income of all 225 workers? how many workers will the firm hire? what is the firm’s output and profit? what is the total income of the 225 union workers? [hint: to maximize total income of union, take the first order condition with respect to w and set equal to 0.]

In a small group, members have taken on the task roles of information giver, critic/analyzer, and recorder, and the maintenance roles of gatekeeper and follower. they need to fulfill one more role. which of the following would be most effective for their group dynamics? a dominator b coordinator c opinion seeker d harmonizer

Explain whether each of the following events increases, decreases, or has no effect on the unemployment rate and the labor-force participation rate.a. after a long search, jon finds a job.b. tyrion, a full-time college student, graduates and is immediately employed.c. after an unsuccessful job search, arya gives up looking and retires.d. daenerys quits her job to become a stay-at-home mom.e. sansa has a birthday, becomes an adult, but has no interest in working.f. jaime has a birthday, becomes an adult, and starts looking for a job.g. cersei dies while enjoying retirement.h. jorah dies working long hours at the office.