ver the very long run, which of the following has influenced the most on costs of production and on standards of living? DA. Increases in output made possible by technological improvements D B. Increases in the resource base D C. Increases in the labour force O D. All of the above
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- If two painters can paint 200 square feet of wall in an hour, and three painters can paint 275 square feet, what is the marginal product of the third painter?Given the following production function: q = 10KL. Assume that w = 25, r = 75 and C = 1200. (a) Mathematically find the minimum cost combination of capital and labour to produce a given level of output.b) Does the production function in part (a) show increasing returns to scale, decreasing returns to scale, or constant returns to scale? Explain. (c) Using isoquants and isocosts, graphically illustrate the effect of an increase in the wage rate, assuming the firm is producing at the same level of output.A producer has the following technology.y= 6K^(1/2)L^(1/2) a) Prove formally that the production function exhibits constant returns to scale (use “λ” argument). b) Find analytically MPL and MPK. Is MPL increasing, decreasing, or constant inL? Is MPK increasing, decreasing, or constant in K? c) Short-run: Given stock of capital ̄K= 1 find labor demand (formula) of a competitive firm. Find equilibrium real wage rate if labor supply is given by Ls= 9 (one number). d) Assume again ̄K= 1 and that Ls= 9. The government adopts a real minimum wage of wmin/p=(3/2). Find labor demand (one number) and the unemployment rate (one number). Please depict the equilibrium on a graph with the real wage on the vertical axis and labor on the horizontal axis, indicating the equilibrium quantity of labor, wage, and unemployment, as well as the relevant curves. e) Find the cost function given prices of inputs wK= 4 and wL= 1 (formula). Plot the cost function on a graph, indicating the slope of the cost…
- Production Function. Consider the Cobb-Douglas production function discussed in class:F(K, L) = AK1/3 L2/3. Suppose that parameters are initially A = 1, K = 150, and L = 10. D) Suppose that the quantity of labor L doubles. Calculate Y, w, r, Y/L, and K/L. Com-ment on how and why these numbers changed relative to (c) and why they did so.True or False: The shape of the production function reflects the law of increasing marginal returns. O True O FalseAssume that a competitive economy can be described by a constant returns to scale, Cobb–Douglas, pro- duction function. Suppose that in this economy all factors of production are fully employed. Holding other factors constant, including the quantity of capital and technology, carefully explain how a one-time, 10-percent decrease in the quantity of labor will change labor’s share of total income?
- I plan to reopen a business consists of five kiosks for serving the customers who come to service their Phones. In this case, I must hir five Professional workers.So here, we can regard the kiosk and workers as the input and the serviceable phones as output. IN five kiosks = I can serve a total of 100 customers every week. But the expectons we will facing 150 customers daily for servicing their Phones.So, to serve all the customers, if I -rent five more kiosks to do the needful and also , hir additional five Professional workers. 1- How to exhibit increasing returns To Scale?2- How to exhibit decreasing Returns To Scale3- How to exhibit Constant returns to scale? Please make sure to include an adequate explanation as to why this is true.Pls help with below homework, I will upvote-) 2.1 What is differences between ‘economies of scale’ and ‘economies of scope’ 2.2 “In a short run, where capita (K) is fixed, a firm should operate its business until its marginal revenue product is greater than its marginal factor cost of labour since it will bring about maximum profit.” Do you agree with this statement? Explain.A firm uses two inputs in production: capital and labor. In the short run, the firm cannot adjust the amount of capital it is using, but it can adjust the size of its workforce. What happens to the firm’s average total cost curve, the average variable cost curve, and the marginal cost curve when a. the cost of renting capital increases?b. the cost of hiring labor increases?
- Q5. A bicycle manufacturer in China currently employs 40 production workers and five supervisors and produces . The marginal product of the last production worker employed is 60 units of output per hour, and production workers are paid 50 CNY per hour. The marginal product of the last supervisor employed is 120 units of output per hour, and supervisors are paid 80 CNY per hour. i. If the firm produced 2,100 bicycles per month before the last production worker was hired, how many bicycles does it produce now? ii. Assume that the firm's isoquants are smooth curves and that labor hours can be varied continuously. Is the firm producing the maximum level of bicycles given its current level of cost? Explain why or why not. If it isn't, explain what it should do to increase output.Suppose that production function of certain devices is determined by: q = k * L - 0.8 k2 - 0.2 L2 Where q represents annual quantity of devices produced, k represents annual quantity of capital factor, and L represents annual quantity of labor factor. (a) Suppose k = 10; draw a graph with average and total labor productivity. What is level of labor (L) factor at which average productivity reaches a maximum? How many devices are produced at that point? (b) Assuming again that k = 10, plot Marginal Product (MP) curve. At what level do we have that labor (L) factor is MP = 0? (c) Suppose capital (k) factor were to increase to k = 20. How would your previous answers change?Let a firm's production function Q (L)=12L^2-1/20L^3 (i.e. output as TL orthe amount of production depends on the workforce, L, as Q is the number of people with a single production input). This functionlet be the foreground 0 ≤ L ≤ 200 for. Accordingly,A) What is the number of labour force (L*) that will make output (Q) the highest?B) what is the number of workers (L**) who will make the maximum amount of output per employee(i.e. Q (L)/L)?c) in both cases the output of the L* and L** values you find and the output per employee at the mosthow can you be sure it's high? Show me.