Macro, the question is on the attachments.

I. A nn's production function is given by is q = KL 0.8K2 0.2!,2 where q is the quantity of output produced, I. is the amount of labor input used, and K is the amount of capital input used. Suppose the amount of capital is fixed at 10 units of capital in the short run. I. 2. Find this finn's short run (a) total product of labor function, (b) average product of labor function, and (c) marginal product of labor function. At what level of labor input usage does the marginal productivity of labor reach a maximum? How much output is produced at that point? Show and briey discuss how you arrived at your answer. Is the marginal product of labor ever negative for this production function? If so, when. If not why not. Show how you arrived at your answer. At what level of labor input usage does the average productivity of labor reach a maximum? How much output is pmduced at that point? Show and briey discuss how you arrived at your answer. At what level of labor input usage does the total productivity of labor reach a. maximum? How much output is produced at that point? Show and briey discuss how you arrived at your answer. What is the economic region of the short run production function you found in part I? Show and briey explain how you arrived at your answer. Calculate the output elasticity of labor when this rm uses the amount of labor at which its average product of labor is maximum. In a carefully labeled diagram, graphically illustrate this rm's total product of labor in the upper panel and the marginal product of labor and average product of labor in the lower panel using your results in parts 1 to 4. In this question, we extend the model with search friction discussed in class by adding non-pecuniary preferences over jobs. There are two periods and workers search for a job every period. Workers have linear utility and no saving. If unemployed, workers draw a job offer from a job offer distribution. Each job offer has two components - a wage to and a disutility 1). Assume that w and 'v are independently distributed. The distribution of wages is gm and the distribution of disutilities is g\". If the agent accepts the job offer, her utility at that period is given by: u(w,v)=w'u If the worker accepts a job at period 1, she remains employed for the next period on the same job. If the worker rejects the job offer from period 1, she receives unemployment insurance b at that period and searches for a new job in the next period. The worker has to accept the job offer received in the second period. Utility in the second period is discounted by rate ,8. 1. Suppose the worker receive job offer (110,11) on the rst period. Write down the value of accepting this job offer in period 1, V\"\"\"Pt(w, 'v). . Calculate the expected utility of being unemployed on the next period as function of E(w) and 13(1)). Hint: Use that the utility is linear, u('w, v) = 'w 'v, and that w and v are independently distributed. . Calculate the disutility of rejecting job offer (10,0) on the rst period, Vrew, c). . Calculate the utility of receiving job offer (11:, v) on the rst period, V(w, '0), using your answer to questions 1 to 3. . Cenditional on a disutility of working or, plot the utility of rejecting a job and the utility of accepting a job on a graph with wages on the xaxis and the utility value on the yaxis. Mark the reservation wage 213(1)) on this gure. . Calculate the reservation wage as a function of the disutility, 25(1)). Is the worker willing to accept a lower wage if she nds the job more meaningful? Conditional on a wage w, plot the utility of rejecting a job and the utility of accepting a job on a graph with disutility on the x-axis and the utility value on the y-axis. Mark the reservation disutility 6(a)) on this gure. Use the following graphs to answer question 35. RGDP Short-Run Trend Long-Run Trend A C D Time 35. The short run trend is known as: A. The cattle cycle B. The water cycle C. The business cycle D. The division of labor 36. A recession is defined as: A. A long and severe depression B. An increase in unemployment C. Two consecutive months of falling GOP D. An increase in the National Debt to GOP ratio E. Two consecutive quarters of falling Real GDP 37. A depression is defined as; A. Two consecutive quarters of falling Real GDP B. An increase in the National Debt to GDP ratio C. Two consecutive months of falling GOP D. An increase in unemployment E. A long and severe recession 38. In the Long-Run, the growth rate in the U.S. economy is about: A. 0%% B. 39% C. 8% D. 15% E. 25% 39. Real business cycle theory states that an economic downturn would most likely be caused by: A. A sudden, sharp fall in consumer spending B. A sudden, sharp increase in the price of oil C. Good weather and good crop yields D. The invention of the internet23. According to class discussion and the textbook, economic growth is highest in countries where: A. There is political instability B. There are high taxes on top income earners C. There are incentives for investment in capital D. Growth rates in M outpace growth rates in Q by a factor of 10 E. There is a large and well developed infrastructure (roads, schools, telecommunications, etc.) 24. Someone is unemployed if: A. They are drawing unemployment benefits from the government B. They are not working and actively searching for work C. They are working for pay or profit D. They are not working E. They are on vacation 25. In class, which group did I refer to as a classic example of underemployed persons? A Single parents B. High school students C. Recent college graduates D. Retail and food service workers E. Individuals with advanced degrees (Master's and PhD's] 26. Suppose that as a result of the recession in 2008, Arthur loses his construction job. After several months of trying to find a job and being unsuccessful, Arthur gives up looking for work. He is then classified as a: A. Retired worker B. Discouraged worker C. Unemployed worker D. Underemployed worker E. Member of the civilian labor force 27. Inflation is defined as: A. An increase in the general prices of all goods and services that usually results from an increase in the money supply- B. A decrease in the purchasing power of money due to a depreciation of the U.5. dollar versus foreign currencies. C. A decrease in the general prices of all goods and services that usually results from a decrease in the money supply. D. An increase in the purchasing power of money that directly results from a decrease in the money supply- 28. If the Decatur Wal-Mart sold $20 million worth of goods in 2018 and sells $21 million worth of goods in 2019, does it automatically stand to reason that they sold more goods in 2019? A. There is not enough information to answer this question. B. Yes, they sold an additional $1 million worth of goods in 2018. C. Yes, they sold more goods in 2018 because 21 is more than 20. D. No, they could have sold the same number of goods if the average prices of all the goods sold rose by 5%.Question 5: a. Identify the three primary areas associated with an information MIS infrastructure. [6 Marks b. Describe the characteristics of an agile MIS infrastructure. [6 Marks] C. Explain the three components of a sustainable MIS infrastructure along with their business benefits. [3 Marks]