from cengage mindtap online workbook

Josiah, Gulberme, and Brandon are housemates who are trying to decide bow much money each should contribute to a function they are hosting. Guilherme would ideally contribute $30 because he only wants to buy pizza. However, he would prefer contributing s60 to contributing $0 and not having a party ot all. Josiah wants to buy a 590keg of beer and 590 worth of pizza. Therefore, he would ideally like each to contribute 560 to the function, but if the others are unwilling to contribute that much, he would settie for buying just the piza (and contributing st30 each) and asking guests to bring their own beer. - Brandon does not care about the function and is on a bght budget. Therefore, he prefers to contribute no money to the function, and his utility declines ot a constant rate as the roommates incresse the amount of money thoy spend. Suppose the three housemates vote on spending either $0,530, or $60 on the function using the Borda count system of voting. That is, each housemate awards three points to his first choice, two points to his second choice, and one point to his third choice. Homework (Ch 22) Suppose the three housemates wote on spending elther 30,530 , or $60 on the function using the Borda count system of voting. That is, each housemate awards three points to his first choice, two points to his second choice, and one point to his third choice. Complete the following table by indicating the number of points ench housemate awards to each ootion and then summing the scores of exch ootion to obtain a final ranking. Under s system of Borde count, the winning option is If, instead, the housemates were to hold a two-phase election (such that they first voted between two options, then voted between the winner of that contest and the finat option), the winner would be . (Hint: Determine the outcome if the roommates first voted between s60 and 50 , and then voted between the winner of that contest and \$30.) The median voter in this situation is