Suppose the per-worker production function is given as follow. y- 6kh2/a, where k- (physical) capital per worker, h- human capital per worker The economy is initially endowed with 280 units of (physical) capital per worker and 250 units of human capital per worker. In the neighbourhood of the initial endowments of both physical and human capital, what will be the change in per-worker output when there is a small incremental change in human capital while holding all else constant li.e, what is the marginal product of human capital)?
Q: Consider the following normal-form (matrix-form) game: Player 2 L M R 5,2 3,5 8,4 6,2 2,3 9,8 1,4…
A: We have 3×3 game, were both players have 3 actions
Q: If the U.S. spent less on medical care and instead invested the savings in the population's health…
A: If the US spent less on medical care instead of investing the savings in diet , exercise, education…
Q: 13. General Electric Company which manufactures electric motor has a capacity of producing 150…
A: * SOLUTION :- (13)
Q: A simple random sample of 37 rolling-and-wheeled backpacks being sold on Amazon had a mean price of…
A: As given sample size = 37 Mean price = $67.49 Population standard deviation = 14.33 Value of 90%…
Q: Glenda has the utility function u(x) = In x + 2y. Derive her optimal demands for x and y as a…
A: As given Utility function is U = lnx +2y Budget constraint is P1X + P2Y = I
Q: Suppose that the MPC is 0.6 and that $20 trillion of real GDP is currently being demanded. The…
A: Given: MPC=0.6 Real GDP currently demanded=$20 trillion Real GDP goal=$16 trillion
Q: To perform a test of hypothesis that the population slope parameter is zero, the test statistic t is…
A: We have given the following data Insur Income 97 38 141 29 280 75 303 81 453 137 357…
Q: Today, you might be buying from a regulated natural monopoly when you purchase natural gas or…
A: A monopoly is a market structure where there is only one firm in the market for a good or service.…
Q: 17. A plant produces 300 units of equipment a month of PP3,600 each. A unit sells for P4,800. The…
A: The process of integrating various material and immaterial inputs (plans, knowledge) to generate a…
Q: 18 Given that the sum of the squared deviations of EDUC is 9025.6 The standard error of the slope…
A: The standard error is a term that actions the exactness/accuracy with which an example dispersion…
Q: Water is produced and sold by the government. Demand for water is represented by the linear…
A:
Q: Which of the following is an example of a natural monopoly? OA. Ford Motors, the large…
A:
Q: 11. Consider the interaction between a retailer and a manufacturer. The manufacturer's marginal cost…
A: We have two subsequent sellers of a good with their different MC and given demand of market.
Q: The demand and supply of some good are as follows: Qd = 100 - P Qs =…
A: Eq price and quantity are found by the intersection of dd(demand) and ss(supply) in the market.
Q: In a market economy, the compensation of labour is determined by the interaction of demand and…
A: A labor market is the place for the people and firms to interact with each other for the exchange of…
Q: The following set of equations describe an economy: C = 14,400 + 0.5 (Y – T) – 40,000r Ip = 8,000 –…
A:
Q: Consider two individuals, Bjorn and Angela. Bjorn has preferences over wealth represented by a…
A: We have two individual with two different utility functions .
Q: Diminishing marginal product suggests that the marginal a. cost of an extra worker is decreasing O…
A: Law of diminishing marginal productivity states that the marginal production from the additional…
Q: 10. A local company assembling stereo radio cassette produces 300 units per month at a cost of P800…
A: Profit is the difference between the total revenue and total cost. Total revenue is the revenue that…
Q: Question 5 (Depreciation): You purchase a Lexus that has a first cost of 300,000 with 200,000…
A: Answers A) Depreciation D = (F-S)/N where F = first cost S = salvage value N = number of years…
Q: 6. Two players each pick a positive integer between 1 and 100. If the numbers are identical, noone…
A: Given, Two PlayersBoth players pick a positive integer between 1 and 100If the numbers are…
Q: Suppose Ming spends his entire income on two goods, X and Y, has "standard-looking" indifference…
A: The intermediate or final process through which institutional entities consume things or services is…
Q: The value of a home increases by 7% each year. Explain why the value of the home doubles…
A: Let the value of home is $100 this year. Given r= 0.07
Q: The larger the number of firms in a monopolistic competition situation:
A: Meaning of Market: The term market refers to the situation under which the producers or the…
Q: To conduct an experiment, a movie theater increased movie ticket prices from $9 to $10 and measured…
A: We have an increase in price of movie tickets, an increase in price will leads to decrease in…
Q: Expected utility = Utility × subjective probability . Question- Explain what you understand from…
A: In economics, "expected utility" refers to the utility that a person, entity, or aggregate economy…
Q: INSUR A life insurance company wishes to examine the relationship between the amount of life…
A: We have X and Y data to estimate the regression.
Q: Nike is a firm in monopolistic competition. If Nike is earning an economic profit from new cross -…
A: A) in perfect competitive market:- 1) in perfect competitive market, there are many number of…
Q: According to our AA-DD analysis of fixed rates, a devaluation causes (a) a rise in output. (b)…
A: A DD curve represents goods market (or demand) equilibriums, while an AA curve represents asset…
Q: If the nominal exchange rate of the Swiss Franc to Dollar is 0.95 from the Swiss point of view and…
A: The cost of converting one currency for another is known as the nominal exchange rate. It's the…
Q: A life insurance company wishes to examine the relationship between the amount of life insurance…
A: We have given the data on amount of life insurance held by a family and family income The linear…
Q: o competing firms, A and B, produce a homogeneous good. Both fi MC= $50. Describe what would happen…
A: *Answer: PART-1) (i) In a Cournot equilibrium when firm A experiences a rise in marginal cost, the…
Q: The demand for a factor of production is called a derived demand because it is derived from O A. a…
A: Derived demand is the demand that is derived from demand from some other commodity. For eg: you want…
Q: Marginal cost tells us a. the amount fixed cost rises when output rises by one unit O b. the…
A: Meaning of Microeconomics: The term macroeconomics refers to that situation under which the…
Q: Explain why the following statement is false. Consider an imperfect market with a few firms. By…
A: The imperfect competition with few firms, is known as the oligopoly market. The competition level is…
Q: Suppose Ming spends his entire income on two goods, X and Y, has "standard-looking" indifference…
A: According to the question, Ming spends his entire income on two goods X and Y, has standard…
Q: 8. The demand that duopoly quantity-setting firms face is p = 90 – 241 – 2q2. Firm 1 has no marginal…
A: Given information: P = 90 - 2q1 - 2q2MC of firm 1 = 0MC of firm 2 = 30
Q: Suppose Ming spends his entire income on two goods, X and Y, has "standard-looking" indifference…
A: If the price of X decreased and even then the demand for Y remains unchanged then,
Q: The amount of money that a firm receives from the sale of its output is called O a. net revenue O b.…
A: The primary function of firms is to produce goods and services in an economy for consumers. These…
Q: The figure below illustrates the effect of an excise tax (per unit tax) imposed on sellers (S means…
A: Equilibrium in the market occurs at the intersection of demand and supply curves.
Q: Hidden Valley has two nail salons, one owned by Pat and the other owned by Danny. Suppose that Pat…
A: Given; There are 2 nail salons in Hidden Valley. Pat and Danny have two strategy:- 1) To collude.…
Q: Cynthia is an Oklahoma wheat farmer. The demand for her wheat is A. perfectly inelastic. B. elastic…
A: A good's demand is inelastic when it is less than 1 And consider as elaticit it is more than 1.
Q: Real Price Level Ig $ 2 G M. GDP 128 $ 18 $ 3 $ 1 $ 5 125 20 4 3 2 4 122 22 3 119 24 4 116 26 10 3…
A: Answer; Option (b) is correct
Q: The 5G smartphone market is expanding rapidly recently. Due to the advancement of technology, the…
A: Demand: It refers to the goods and services that are demanded by the people. More demands show more…
Q: A small open economy with fixed prices can be described by the income-expenditure model:…
A: Aggregate Expenditure = Consumption + Planned Investment + Government Expenditure - Taxes +…
Q: Figure: Three Firms Price of fleh MSC Reference: Ref 19-2 Quantity of Rah eaught (Figure: Three…
A: The total cost that society pays for the production of another unit or for taking additional…
Q: The market inverse demand curve for thrust bearings is P = 15 - 1.5Q, where Q is measured in…
A: Answer; Option (c) is correct
Q: Suppose that the components of aggregate cash flows to firms in a country are as follows: Sales…
A: Answers Given, the components of aggregate cash flows to firms in a country are - Sales revenue =…
Q: 2) Economic Application of Integrals. a) Given the marginal propensity to import M' (Y) = 0.1 and…
A: The proportion of an increase in income spent on consumption is known as marginal propensity to…
Q: A firm must decide between two designs. Their effective income tax rate is 15%, and MACRS…
A: Annual worth or AW is referred to as the easy way of understanding the annual amount, for instance,…
Step by step
Solved in 2 steps
- A CES production function with physical and human capital Consider the CES production function in terms of physical capital, K, and human capital, H: where 0 a. Set up the Hamiltonian and find the first-order conditions. b. What is the optimal relation between K and H? Substitute this relation into the given production function to get a relation between Y and K. What does this “reduced-form” production function look like? c. What is the steady-state value of the ratio of physical to human capital, (K/H)∗? d. Describe the behavior of the economy over time if the initial condition is such that K(0)/H(0)? e. Suppose that the inequality restrictions IK ≥ 0 and IH ≥ 0 apply. How do these constraints affect the dynamics if the economy begins with K(0)/H(0)∗?The “per person” versions of production functions: Write each productionfunction given below in terms of output per person y ; Y/L and capital perperson k ; K/L. Show what these “per person” versions look like in a graphwith k on the horizontal axis and y on the vertical axis. (Assume A is somefxed positive number.)(a) Y = K 1/3L2/3 and Y = K 3/4L1/4 (on the same graph) (b) Y = K(c) Y = K + AL(d) Y = K − ALIn 2000, the country of Cobra Island has an initial level of capital set at 10 units. The population of Cobra Island is unknown, but we do know that it grows each year at some constant rate. The level of total income is 500 cobra dollars. Finally, the total production function of Cobra Island can be described as Y=10*L1/2k1/2 a)What is the initial population of Cobra Island? b)Let the wage of labor is 0.4, and the rental rate of capital is 0.6. The capital to labor ratio after two years (in 2002) is 50 while the amount of workers is 1000. The growth rate of capital is 6,970%. The growth rate of labor is 100%. Find the GDP of Cobra Island. c)How much labor is there in Cobra Island one year after the initial year (or in 2001)? d)The growth rate of income is 1,089%. Find the Solow Residual. Do not give the answer as a percentage
- Show that, when using a traditional economic production function,doubling our population can double our output if capital stocks alsodouble. Use the production function: Q = AK L , where A representstechnology in an economy, K capital, and L labor. Double K and L andshow that Q also doubles, assuming α=β=1/2. Now show that, when we incorporate natural capital into thediscussion, doubling the population does not increase output in thesame way (since natural capital cannot also grow). Use theproduction function: Q = AK L N , where N is natural capital. DoubleK and L and show that Q less than doubles, assuming α=β=γ=1/3.In 2000, the country of Cobra Island has an initial level of capital set at 10 units. The population of Cobra Island is unknown, but we do know that it grows each year at some constant rate. The level of total income is 500 cobra dollars. Finally, the total production function of Cobra Island can be described as Y=10*L1/2k1/2 What is the initial population of Cobra Island? Let the wage of labor is 0.4, and the rental rate of capital is 0.6. The capital to labor ratio after two years (in 2002) is 50 while the amount of workers is 1000. The growth rate of capital is 6,970%. The growth rate of labor is 100%. Find the GDP of Cobra Island. How much labor is there in Cobra Island one year after the initial year (or in 2001)? The growth rate of income is 1,089%. Find the Solow Residual. Do not give the answer as a percentage. Zackland, a developing country, can be described using the Harrod-Domar Model. The ICOR of Zackland is 0.8. Assume that the economy is stable. In other…Suppose that the production function is given by Y=AK0.4N0.6. What is the percentage change in output if both capital and labor rise by 42%? Write the answer in percent terms with up to two decimals (e.g., 10.22 for 10.22%, or 2.33 for 2.33%).
- Write the production function in its simplest form (human capital being included in TFP) and explain the nature of each factor as well the theoretical value of the parameter Alpha. In other words what does the value of Alpha represent regarding the returns of each factors of production?Suppose that the production function of a company is given by q = qL^2 · qC and that the amount of labour qL and the amount of capital qC are functions of time t. At time t = 2, we know that qL = 9 andqC =8 and that the growth rateof qL is equal to 2 and the growth rate of qC is equal to 8. Find the growth rate of the production q at that moment.Assume that a country's production function is Y = K1/2L1/2 and there is no population growthor technological change.a. What is the per-worker production function y = f (k)?b. Assume that the country possesses 40,000 units of capital and 10,000 units of labor. What isY? What is labor productivity computed from the per-worker production function? Is thisvalue the same as labor productivity computed from the original production function?c. Assume that 10 percent of capital depreciates each year. What gross saving rate isnecessary to make the given capital–labor ratio the steady-state capital–labor ratio? (Hint:In a steady state with no population growth or technological change, the saving ratemultiplied by per-worker output must equal the depreciation rate multiplied by the capital–labor ratio.)d. If the saving rate equals the steady-state level, what is consumption per worker? Only D, other option answered
- Assume that a country's production function is Y = K1/2L1/2 and there is no population growthor technological change.a. What is the per-worker production function y = f (k)?b. Assume that the country possesses 40,000 units of capital and 10,000 units of labor. What isY? What is labor productivity computed from the per-worker production function? Is thisvalue the same as labor productivity computed from the original production function?c. Assume that 10 percent of capital depreciates each year. What gross saving rate isnecessary to make the given capital–labor ratio the steady-state capital–labor ratio? (Hint:In a steady state with no population growth or technological change, the saving ratemultiplied by per-worker output must equal the depreciation rate multiplied by the capital–labor ratio.)d. If the saving rate equals the steady-state level, what is consumption per worker?uppose a Cobb-Douglas Production function is given by the following:P(L,K)=60L^0.8K^0.2where LL is units of labor, KK is units of capital, and P(L,K) is total units that can be produced with this labor/capital combination. Suppose each unit of labor costs $900 and each unit of capital costs $3,600. Further suppose a total of $900,000 is available to be invested in labor and capital (combined).A) How many units of labor and capital should be "purchased" to maximize production subject to your budgetary constraint?Units of labor, LL = Units of capital, KK = B) What is the maximum number of units of production under the given budgetary conditions? (Round your answer to the nearest whole unit.)Max production = units1. Country A and B both have the production functionY = F (K, L) = K ½L ½or Y = K0.5 L0.5 a) What is the per-worker production function, y= f (k)? Please make sure to write specificfunctional form of the per-worker production function. b) Assume that neither country experiences population growth nor technological progressand that 4 percent of capital depreciates each year. Assume further that country A saves 24percent of output each year and country B saves 16 percent of output each year. Using youranswer from part a) and the steady-state condition, find the steady-state level of capital perworker for each country. Then find the steady-state levels of income per worker for eachcountry and steady-state level of consumption per worker for each country.