1. Lou is a researcher whose research is very valuable, so that his employer will pay him $200 for each hour he spends doing research. Lou works fifty hours each week, so if he spends all of it doing research he can earn $10,000. Lou's office gets dirty, however, so it needs to be cleaned. His papers get disorganized, so someone needs to file them. And Lou needs to eat lunch each day, five days a week, which requires him to go to a restaurant, and that takes an hour each day. Cleaning his office takes three hours each week; filing his papers takes seven hours each week; and going to eat lunch at a restaurant takes five hours each week. So the most time that he can spend doing research is thirty-five hours. Janet is an unemployed secretary. She would gladly work for $20 an hour. Janet is slower than Lou, so she would need to spend twice as long cleaning the office and filing Lou's papers. She can, however, bring Lou his lunch each day in half the time it takes Lou to go out. If Lou hires Janet as his secretary, then he could spend 47.5 hours each week doing research (50 hours minus 2.5 hours eating lunch in his office). If Lou pays Janet $20 an hour to clean for six hours, file papers for fourteen hours, and get lunch for 2.5 hours, then how much money will Lou gain by hiring Janet as his secretary? Keep things simple; do not worry about taxes or other benefits. 2. I have two orange trees in my yard here in Laredo. Each one grows 100 oranges each year. My aunt in Wisconsin has two apple trees in her yard. Each one grows 100 apples each year. Apples grow well in Wisconsin, but they would not grow well in Laredo, because it is too hot and dry here. Oranges grow well in Laredo, but they would not grow well in Wisconsin becasue it is too cold there. I would like to eat not only oranges, but also apples. My aunt would like to eat not only apples, but also oranges. What should we do? Assume that neither one of us owns much land, so neither one of us can have more than two trees. (A.)My aunt should continue to grow only apples. I should continue to grow only oranges. Then I should send some of my oranges to my aunt and in return she will send me some of her apples. (B.)should cut down both of my orange trees and plant two apple trees. My aunt should cut down her two apple trees and plant two orange trees. (C.)My aunt should continue to grow only apples. I should continue to grow only oranges. We should both complain because we are unhappy. (D.) I should cut down one of my orange trees and plant an apples tree. Then I will grow both apples and oranges. My aunt shoudl cut down one of her apple trees and plant an orange tree. Then she will grow both apples and oranges. 3. Tom is an old man. He does not have much energy, but he has much wisdor. Timmy is a young man. He has much energy, but does not know much. There are two children. One of them is 12-years-old. The other one is 2-years-old. Which adult should take care of which child? (d.)Tom should take care of the 12-year-old. Timmy should take care of the 2-year-old. (a.) Tom should take care of the 2-year-old. Timmy should take care of the 12-year-old. (b.)ONiether Tom nor Timmy should take care of the children. Only wornen can take care of children. (c.)Oit does not matter who takes care of whor. QUESTION 4 A skilled carpenter named B can make a chair in five hours. It would take me eight hours to make a chair. B is skilled also at preparing tax returns for people. B can prepare a tax return in thirty minutes. It would take me an hour to prepare a tax return. If we want to make two chairs and prepare tax returns for ten people, then how can we divide the work so that we finish it in the least amount of time? (a.)OB should prepare the ten tax returns and I should make the two chairs. (b.)OB should make one chair and prepare 9 tax returns. I should make one chair and prepare 1 tax return. (c,)OB should make the two chairs and I should prepare the ten tax returns (d.)OB should make both chairs and prepare all ten tax returns, because B can do both faster than I can