3. You are given the following information about the output of good X as successive workers are added to a fixed amount of land and capital equipment. Number of workers 10 11 12 13 14 15 16 Total output (unit of X) 100 121 144 169 189 195 200 At what level of employment does MPP become a maximum? At what level of employment does APP become a maximum? At what level of employment do diminishing returns set in? Can you determine from this information how many workers the firm will employ? Explain your answer. Draw graphs to show all the relationships а) b) c) d) e)

3. You are given the following information about the output of good X as successive workers are added to a fixed amount of land and capital equipment. Number of workers 10 11 12 13 14 15 16 Total output (unit of X) 100 121 144 169 189 195 200 At what level of employment does MPP become a maximum? At what level of employment does APP become a maximum? At what level of employment do diminishing returns set in? Can you determine from this information how many workers the firm will employ? Explain your answer. Draw graphs to show all the relationships а) b) c) d) e)

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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During the 1920s, Charles Cobb and Paul Dougkas modeled totalproduction output P (of a firm, company or entire economy) as a function of labourhours involved x and capital invested y (each includes the monetary worth of allbuildings and equipment). The Cobb-Douglas production function isP(x, y) = k x^α y^(1−α),where k ad α are constants representative of a particular firm or economy.(1) Show that doubling of both labor and capital results in doubling productionP.(2) Suppose a particular firm has the production function for k = 120 andα =3/4. Assume each unit of labor costs $250 and each unit of capital costs$400, and that the total expense for all costs cannot exceed $100,000. Findthe maximum production level for the firm.(3) Compute the production level at x = 64 and y = 81. If the capital isdecreased by 3 units, by how many units the labor should be adjusted toso that there is not change in production level.
Charlie owns his own candy factory where he employs individuals to make his world-famous toffee. The graphs show the factory's production for one day. Charlie pays each worker $110 a day and sells his toffee for $0.50 each. Use the accompanying graph to answer the following 2080 1960 Total product questions. 1800 1600 a. Calculate the marginal product of labor (MPL) for the fifth and eighth workers. 1360 1080 760 MPL 5thworker units 400 6. 10 MPL units gth worker Ouantity of workers Quantity of toffee (units)
Suppose that low-productivity workers all have marginal products of 8 and high-productivity workers all have marginal products of 16. The community has equal numbers of each type of worker. A firm cannot directly tell the difference between the two types of workers. Without any further information, the firm is willing to offer a wage at the average productivity. The local community college offers a course in microeconomics, which does not increase productivity for either type of workers. High-productivity workers think taking this course is as bad as a wage cut of $3, and low-productivity workers think it is as bad as a wage cut of $9. With the certificate, the firm is willing to offer a high wage of $16. Without it, the firm is willing to offer a low wage of $8. But the firm cannot still tell the true productivity. In this case, is it worth for the low-productivity workers taking the course? (Yes, No, or Uncertain) Thus, this situation will lead to a (pooling, or separating)…
5. A company that produces auto parts has a production function of Q = 300 L-75 K-5. %3D If L= 250 and K= 25, what is the output of auto parts? If L increases to 350, what is the output of auto parts? What does the change in output show regarding labor as a factor of production?
Q = K x L (Quantity = capital X labor) Are MPk and MPL diminishing? Is MRTSL,k diminishing? (Marginal rate of technical substitution)
1. Consider a static labour supply model for an individual. Assume that the person works a positive number of hours. Assume that the utility function is of the following form: U=x0.5 +8(T-h)(0.5) where x is consumption and his hours of work, and 8 is a parameter of the utility function. The person is paid a wage of w for each hour worked. The person has no other source of income other than employment earnings. Assume that the price of x equals 1. a) Specify the utility maximization problem, write down the Lagrange function, and solve for the first order conditions. b) Solve for the MRS condition between consumption and hours of work. c) Assume that 8=2 if the person has a child living at home, and 8=1 otherwise. Explain (and either show mathematically or graphically) how this will affect the optimal number of hours of work of the person.
What do economists mean by "deminishing returns" to an input? What causes diminishing returns? Where would one observe this principle at a job and the real world?
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The following picture represents a production function after an increase in total factor productivity z. What marginal happens to the product of labor? Y=zF(K,N) Labor (N) O It increases O It decreases O It increases from some levels of labor, it decreases for some others O Not enough information
23) The marginal products of the first, second, and third workers are 50, 34, and 22, respectively. If four workers can produce 116 units of output, then the marginal product of the fourth worker is A) 10 B) 12 D) 116 Answer: A Diff: 2 Topic: The Production Process Skill: Analytic C) 22