There are three factors of production, capital, K, skilled labour L; and unskilled labour Ly. Which of the following production functions exhibits constant returns to scale in the production inputs K, L; and Ly? ab 4ab Y=Ka+6(ab+c)L,+2(3ab+c)+4c L 2(ab+3c) a+2(ab+3cl+4ab Ob All of these answers are correct. Y=K+b+bcL,+b+bcL+b+bc Od. blb-e) b>c 2(1-al 1-, Oe. 1-a רתיני ,4ינייא =Y 0
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- 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 − AEconomies production function is Y = AK0.3N0.7. If K = 2000, N = 100, and A= 1, then Y = ?18. 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
- Answer the following questions on the basis of this information for a single fifirm: total cost of capital = $1000; price paid for labor = $12 per labor unit; price paid for raw materials = $4 per raw-material unit. a. Suppose the firm can produce 5000 units of output by combining its fixed capital with 100 units of labor and 450 units of raw materials. What are the total cost and average total cost of producing the 5000 units of output?b. Now assume the firm improves its production process so that it can produce 6000 units of output by combining its fixed capital with 100 units of labor and 450 units of raw materials. What are the total cost and average cost of producing the 6000 units of output?c. Refer to your answers to 8a and 8b and explain how process innovation can improve economic efficiency.Economic 1. For each of the following production functions, determine whether there areincreasing, constant or decreasing returns to scale.a) . Q = 3K + 4Lb) . Q = K + L + KLc) . Q = 18K^ 0.6 L^0.3Explain the characteristics of production in the short term vs the long tem in terms of factorsof productions and diseconomies of scale
- Q)solve it correctly The marginal products of capital (MPK) and labor (MPL) are, respectively, MPK = 2000 units; MPL = 1500 units. The input prices are: PK = $10/unit; and PL = $150/unit. To minimize production costs, the firm should A. increase both capital and labor B. decrease both capital and labor C. increase capital; decrease labor D. decrease capital; increase labor E. do nothing; costs are minimizedThe amount of fish caught per week on a trawler is a function of the crew size assigned to operate the boat. Based on past data, the following production schedule was developed: Crew size 2 3 4 5 6 7 8 9 10 11 12Fish caught (100 lbs/week) 3 6 11 19 24 28 31 33 34 34 33 b) How large a crew should be used if the trawler owner is interested in maximizing the total amount of fish caught?c) How large a crew should be used if the trawler owner is interested in maximizing the average amount of fish caught per person?d) Suppose the owner can sell all the fish caught for $75 per 100 pounds and can hire as many crew members as desired by paying them $150 per week. Assuming that the owner of the trawler is interested in maximizing profits, determine the optimal crew size.Returns to scale in production: Recall that a production function F(K, L) exhibits constant returns to scale if doubling the inputs leads to a doubling of output. If it leads to more than doubling of output, there are increasing returns to scale; if it leads to less than doubling of output, there are decreasing returns to scale. The answers to parts (a) and (f) are worked out below. (a) Y = K1/2L1/2. If we double K and L, output is (2K) 1/2(2L) 1/2 = 21/221/2K1/2L1/2 = 21/2+1/2K1/2L1/2 = 2K1/2L1/2. So output exactly doubles, and there are constant returns to scale. (b) Y = K1/3L2/3 + . This production function says you get units of output “for free,” that is, even if there is no capital and no labor. Then you produce on top of that with a Cobb-Douglas production function. If we double K and L, output is Notice that the first term is doubled, but the output we got for free (the A) is left unchanged. Therefore, output is less than doubled, and this…
- Question: Indicate whether the following statemnts are true or false:- a) If the firm increases the volume of used resources by 30%, and the volume of production thus increases by 20%, then there is a positive effect of the production scale. b) Average fixed costs decrease as production increases. c) The economic profit usually exceeds the accounting profit. Thanks!(i) A business manager determines that t months after production begins on a new product,the number of units produced will be P thousand, where P(t) =6?2 + 5?(? + 1)2.What happens to production in the long run ?(ii) A ruptured pipe in a North Sea oil rig produces a circular oil slick that is y meters thick at adistance x meters from the rupture. Turbulence makes it difficult to directly measure thethickness of the slick at the source (where x = 0), but for x > 0, it is found thaty =0.5(x2 + 3x)x3 + x2 + 4x . Assuming the oil slick is continuously distributed, howthick would you expect it to be at the source?The aggregate production function is Y = 3KL. If there are 20 units of capital and 50 units of labor, what is aggregate output? Group of answer choices 600 1000 150 3000