1. LABOR DEMAND, PART 1 Suppose output, Q. is produced by labor, ...

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1. LABOR DEMAND, PART 1 Suppose output, Q. is produced by labor, L, and capital, K, according to the following function: Q - K16 L". Suppose the firm sells each unit of output in a competitive market for a price P $100. Suppose the firm hires each unit of labor in a competitive market for a wage W - $25. Suppose the firm has to make do for now with a stock of capital K - 49; moreover, suppose each unit of capital costs R - $75. A. How much labor will be demanded by the firm? Demonstrate and explain. B. At the "optimal" quantity of labor, what is the capital-to-labor ratio K/L? Demonstrate and explain. C. Utilizing the "optimal" quantity of labor, how much profit will the firm earn? 2. LABOR DEMAND, PART: 2 Consider the circumstances of Problem #1, only now the firm is free to choose both labor L and capital K. A. What capital-to-labor K/L ratio will the firm choose? Demonstrate and explain. Compared to Problem #1 above, does the firm become more capital-intensive, more labor- intensive, or does the K/L ratio remain unchanged? If any change occurs, explain why it occurs. B. Compared to Part A just above, suppose the cost of capital drops from R= $75 to R - $65. How does this development affect the demand for labor? Demonstrate and explain. 3. WORKING IN THE REAL WORLD On January 17, 2018 the Bureau of Labor Statistics (BLS) released a report on the usual weekly earnings of wage and salaried workers for the fourth quarter of calendar year 2017. Find this report and answer the following questions. A. Compared to men with high school diplomas, in late 2017 how did the earnings of college educated men (bachelor's degree or higher) compare? Report the relevant statistical evidence and interpret. Did it pay for a male to be a college graduate? Demonstrate and explain. Compared to bachelor's degree college graduates, does it pay for a male to earn an advanced degree? Demonstrate and explain. B. Compared to women with high school diplomas, in late 2017 how did the earnings of college educated women (bachelor's degree or higher) compare? Report the relevant statistical evidence and interpret. Did it pay for a female to be a college graduate? Demonstrate and explain. Compared to bachelor's degree college graduates, does it pay for a female to earn an advanced degree? Demonstrate and explain. C. In late 2017 did the "payoffs" to a college education seem to be similar for males and females in the U.S.? Demonstrate and explain. How would your answer change - if at all - if you focused only on white males and white females? Demonstrate and explain.

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