If the production function is Y = AK2/3L1/3 in the land of Antegria, if the capital per worker grows by 3 percent and the TFP increases by 1 percent, then output per worker will grow by percent. a) 3 b) 4 c) 5 d) 6
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- Output Y is produced according to Y = F(K, L), where K is the capital stock and Lis the number of workers. The production function F(K, L) has constant returns toscale and diminishing marginal returns to capital and labour individually. The levelof technology is assumed to be constant over time. Capital per worker is denotedby k = K/L and output per worker by y = Y/L, and the two are related according toy = f(k), where f(k) = F(k, 1) is the per-worker production function. Investment is equal to saving, which is a constant fraction s of income Y. Capitaldepreciates at rate δ and the number of workers grows at rate n. The change incapital per worker over time is ∆k = sf(k) − (δ + n)k. Consider a country that has reached its steady-state capital per worker. Then, inone year, the country suffers severe flooding that destroys part of its capital stock.Assume this is treated as a one-off event that is not expected to reoccur. explain what happens to incomeper worker in the short run and the…Which of the following equations does not represent a plausible production function? a.F(K,L) = 2KL b.F(K,L) = 2K-2L c.F(K,L) = 2(KL)0.5 d.F(K,L) = KLGiven the production function Q=20L+8K and cost budget = 1000JD; w (Price per unit of labor)=8; r(price per unit of capital)= 4. Find the optimal quantity of capital? A) 100 Units B) 0 Units C) 200 Units D) 125 Units
- Confirm that the Cobb-Douglas production function satisfies all the three properties: more is better, concavity, and CRS.The number of units Q of a particular commodity that will be produced with K thousand dollars of capital expenditure is modeled by Q(K) = 500 . Suppose that capital expenditure varies with time in such a way that t months from now there will be K(t) thousand dollars of capital expenditure, where K(t) = 2t^4 + 3t + 149 / t + 2 (a) What will be the capital expenditure 3 months from now? How many units will be produced at this time?Economies production function is Y = AK0.3N0.7. If K = 2000, N = 100, and A= 1, then Y = ?
- Returns to scale in production: Do the following production functions exhibitincreasing, constant, or decreasing returns to scale in K and L? (Assume Ais some fxed positive number.)(a) Y = K1/2L1/2(b) Y = K2/3L2/3(c) Y = K1/3L1/2(d) Y = K + L(e) Y = K + K1/3L1/3 (f ) Y = K 1/3L2/3 + A (g) Y = K 1/3L2/3 − A3) If we duplicate all the production factors of the production function f (L,K) = L 2/3. K1/3, where L are working hours, k the capital then the amount of product will be multiplied by: Choose one: A) 4 B) 2 C) 1 D) 8 E) 0.5The input factors of production include Land, Labor, Capital, Technology, and Entrepreneurial ability. Which of the following is an example of Capital? (a)The secret formula used to create a can of Coca Cola. (b)The total of all the workers employed by the firm. (c)The 200 acres the factory sits on (d)The machines required to produce cars
- Consider the production function Y=z.K^1/3,N^1/3,L^1/3 where Y is output, z is a parameter capturing technology, K is capital, N is labour and L is the area of land. We would need to increase capital input by a factor of 8 to double output. Select one: True FalseExplain the characteristics of production in the short term vs the long tem in terms of factorsof productions and diseconomies of scale18. Assuming England has 60 man-hours (mhrs) of labor resource available for production, and labor is the only resource, the per unit resource cost of wine in England is ____ mhrs/bottle. (Ple