1. Consider the following hypothetical information about the occupational distribution of Country Y. (6 points total) Employed Women Employed Men 70 20 Occupation A Occupation B Occupation C Total 20 60 150 70 110 200 Total 90 90 170 350 a. Calculate the index of occupational segregation by sex. Show the formula you would use and provide a numerical answer. (2 points) b. Explain exactly what the number you obtained in (a) means in light of the definition of the sex segregation index. (2 points) c. Now imagine that because of the pandemic and the need to homeschool children, half of the women leave the labor force (but no man leaves the labor force) so that there are only 35 women left in Occupation A, 10 in Occupation B, and 30 in Occupation C). i) What would happen to the index of occupational segregation between men and women? Circle one: Increase/Decrease/Stay the same (1 point) ii) What would happen to the share of all workers in Occupation A that are women? Circle one: Increase/Decrease/Stay the same (1 point) 2. Using the following productivity rates per hour of work, answer the questions below. (11 points total) Jack Jill Market Work 5 units of output 3 units of output Nonmarket work 2 units of output 6 units of output Market work 100 90 80 70 60 50 40 30 20 10 10 20 30 40 Nonmarket work 50 60 70 80 90 a. Graph the individual production possibility frontiers (with market work on the y axis and nonmarket work on the x axis) assuming that each individual only works 10 hours. (2 points) Use the grid above. b. Graph their joint/combined production possibility frontier on the same graph used in part (a). (2 points) c. Why is the production possibility frontier relatively flat for low levels of nonmarket work but steep for high levels of nonmarket work? (2 points) d. Assuming Jack and Jill divide their output evenly. Graph the joint production possibility frontier on a per capita basis. (2 points) e. On the graph, show the combinations of market and nonmarket goods which can be consumed by specializing and trading which could not have been consumed by either Jack or Jill if they were working by themselves. (2 points) f. If Jack had no desire for nonmarket goods, would there be any incentive to marry, specialize, and trade? Why? (1 point) 1. Consider the following hypothetical information about the occupational distribution of Country Y. (6 points total) Employed Women Employed Men 70 20 Occupation A Occupation B Occupation C Total 20 60 150 70 110 200 Total 90 90 170 350 a. Calculate the index of occupational segregation by sex. Show the formula you would use and provide a numerical answer. (2 points) b. Explain exactly what the number you obtained in (a) means in light of the definition of the sex segregation index. (2 points) c. Now imagine that because of the pandemic and the need to homeschool children, half of the women leave the labor force (but no man leaves the labor force) so that there are only 35 women left in Occupation A, 10 in Occupation B, and 30 in Occupation C). i) What would happen to the index of occupational segregation between men and women? Circle one: Increase/Decrease/Stay the same (1 point) ii) What would happen to the share of all workers in Occupation A that are women? Circle one: Increase/Decrease/Stay the same (1 point) 2. Using the following productivity rates per hour of work, answer the questions below. (11 points total) Jack Jill Market Work 5 units of output 3 units of output Nonmarket work 2 units of output 6 units of output Market work 100 90 80 70 60 50 40 30 20 10 10 20 30 40 Nonmarket work 50 60 70 80 90 a. Graph the individual production possibility frontiers (with market work on the y axis and nonmarket work on the x axis) assuming that each individual only works 10 hours. (2 points) Use the grid above. b. Graph their joint/combined production possibility frontier on the same graph used in part (a). (2 points) c. Why is the production possibility frontier relatively flat for low levels of nonmarket work but steep for high levels of nonmarket work? (2 points) d. Assuming Jack and Jill divide their output evenly. Graph the joint production possibility frontier on a per capita basis. (2 points) e. On the graph, show the combinations of market and nonmarket goods which can be consumed by specializing and trading which could not have been consumed by either Jack or Jill if they were working by themselves. (2 points) f. If Jack had no desire for nonmarket goods, would there be any incentive to marry, specialize, and trade? Why? (1 point)