James uses kiwi k) and labor (L) tomake Juice Ca). Production function 9=min(43,R %3D lavor musured in haurs kiwi in kS Suicu in Gottles ADraw isoants for q-1,=2,9-3 laber on horiontal aus, kiwi on wrtical Price lalour -hour w: $15 Price per ks of Riuis P= 34 findl optimai amouni of laliaur and kiwi to produce q Cottles of Juice if Jamo minimises Costs. Praucde Praw on čliasram with nurt eapessions . for Lla), Rl)
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- Why do you mink the U.S. experience with inflation over the last 50 years has been so much milder than in many other countries?Give the three reasons that explain why the division of labor increases an economys level of production.Explain how the wage can adjust to balance thesupply and demand for labor while simultaneouslyequaling the value of the marginal product oflabor.
- Cowles Foundationfor Research in Economicsat Yale UniversityCowles Foundation Discussion Paper No. 2021ARE WE APPROACHING AN ECONOMIC SINGULARITY?INFORMATION TECHNOLOGY AND THE FUTUREOF ECONOMIC GROWTHWilliam D. NordhausSeptember 2015An author index to the working papers in theCowles Foundation Discussion Paper Series is located at:http://cowles.yale.edu/This paper can be downloaded without charge from theSocial Science Research Network Electronic Paper Collection:http://ssrn.com/abstract=2658259Electronic copy available at: http://ssrn.com/abstract=2658259Are We Approaching an Economic Singularity?Information Technology and the Future of Economic GrowthWilliam D. Nordhaus1September 1, 2015AbstractWhat are the prospects for long-run economic growth? The presentstudy looks at a recently launched hypothesis, which I label Singularity.The idea here is that rapid growth in computation and artificialintelligence will cross some boundary or Singularity after whicheconomic growth will…What is meant by returns to factor? State 3 phrases of the law of variable proportion.1. Supose that·Total Factor Productivity increases·Capital depreciates by 10%Everything else equal, what happens to labor demand in the economy?A. It decreases (i.e. shifts to the left of the demand curve)B. It increases (i.e. shifts to the right of the demand curve)C. Not enough information to answer 2. Does an increase in the wage causes leisure always to increase, because leisure is a normal good?A. YesB. NoC. Only if the substitution effect dominates the income effectD. Only if the income effect dominates the substitution effect
- Consider the following labor-leisure choice model. U(C,L) = C^2/3L^1/3 C = wN + π – T H= N+ L Where C: consumptionL: leisureN: hours workedH = 50 : total hoursw = 4 : hourly wageπ = 20 : non-labor income T = 10 : lump-sum tax Suppose the hourly wage changes to w = 5. Perform a decomposition and fill in the table C L N Substitution Effect Income Effect Total EffectShelly’s preferences for consumption and leisure can be expressed as U(C, L) = (C - 200) * (L - 80) This utility function implies that Shelly’s marginal utility of leisure is C - 200 and her marginal utility of consumption is L - 80. There are 168 hours in the week available to split between work and leisure. Shelly earns $5 per hour after taxes. She also receives $320 worth of welfare benefits each week regardless of how much she works. a. Graph Shelly’s budget line. b. What is Shelly’s marginal rate of substitution when L = 100 and she is on her budget line? c. What is Shelly’s reservation wage? d. Find Shelly’s optimal amount of consumption and leisure.Imagine a firm that employs two types of workers – some with computer skills and others withno technology related skills. (i) Explain how a firm’s production function is related to its marginal product of labour, howa firm’s marginal product of labour is related to the value of its marginal product and how afirm’s value of marginal product is related to its demand for labour. (ii) Explain how the wage can adjust to balance the supply and demand for labour whilesimultaneously equalling the value of the marginal product of labour.
- Y5 If a firm uses n inputs (n > 2), what inequality does the theory of revealed cost mini- mization imply about changes in factor prices (∆wi) and the changes in factor demands (∆xi) for a given level of output?(TCO C) You have been hiredto manage a small manufacturing facility whose cost and productiondata are given in the table below.No. of workers Total LaborCost Output TotalRevenue 1 $150 100 $170 2 300 108 550 3 450 114 1150 4 600 119 1470 5 750 123 1600 6 900 125 1700 7 1050 126 1750 Based on your knowledge of marginal analysis, how manyworkers should you hire? Explain youanswer.hy does a measure of labor productivity—the output produced per worker– rise for many firms during recessions? During the boom years period of 2005through November 2007, the annual average output per worker was lower in U.S.manufacturing than during the Great Recession of 2007–2009 as well during therelatively low-demand years since then through 2013.Firms produce less output during recessions as demand for their products falls.Consequently, firms typically lay off workers during recessions. Thus, whetheroutput per worker rises or falls depends on whether output or employment fallsby more. The labor productivity pattern over the business cycle differs across in-dustries. If we know about a firm’s production process, can we predict whetheroutput produced per worker will rise or fall with each additional layoff?