ENGR.ECONOMIC ANALYSIS
14th Edition
ISBN: 9780190931919
Author: NEWNAN
Publisher: Oxford University Press
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- 2. Consider a production function: x(l, k) = Alªk³. Showing all of your work: (a) Under what conditions are the marginal products of labor 1 and capital k positive? (b) Under what conditions are the returns to labor and capital diminishing? (c) Under what conditions are the returns to scale increasing, decreasing, and constant?arrow_forwardThe table below forms part of production function analysis for Elegance Holdings Ltd. No. of workers Total Physical Average product Physical Product 0 1 3 5 7 8 11 12 14 Required: 0 12 30 54 90 100 115 115 110 Marginal Physical Product a) Compute: i. The Average Physical Product ii. The Marginal Physical Product b) Draw the curve that illustrates the three relationships. c) From the diagram that you have drawn in B above, prove the law of diminishing returns.arrow_forwardConsider the following production function: Q = 100L0.5K0.5 Subject to the budget constraint 5L + 10K = 75; where L is labour and K is capital. If the optimal quantities of labour and capital were employed, then the total output is approximately: a. 530 units b. 1371 units c. 2150 units d. 604 unitsarrow_forward
- The production function for soy beans is q = K 0.25 L 0.45. Dose this production function have constant, increasing or decreasing return to scale? A. may be increasing or decreasing B. Constant return to scale C. Decreasing return to scale D. Increasing return to scalearrow_forwardPlease indicate which multiple choice awnser is correct for question 1.1)1.2)1.3)Please indicate it correctly as I have had this awnsered with different letters to the awnser I was told 1.1 - A firm trebles its inputs and discovers that its output rises by a factor of four. This is an example of;Select one or more:a. constant returns to scaleb. diminishing returns to a variable factor c. increasing returns to scaled. economies of scale1.2 - Diseconomies of scale are present when.... Select one or more:a. marginalcostsriseb. long run average costs rise as output rises c. totalcostsfallasoutputrisesd. total costs rise as output rises 1.3 - If the demand for a firm’s product is price inelastic, this implies that Select one or more: a. price changes have no impact on quantity demandedb. a fall in price of 3% will lead to a decline in quantity demanded of more than 3%c. a rise in price will raise total expenditure on the goodd. a 5% rise in price will result in a fall in quantity…arrow_forward13. Suppose you have a production technology given by f(x1, x2) = min{2x₁, x2} and you are producing at the point where x₁ = 10 and x₂ = 20. (a) Explain in words what we mean (generally) by the ‘marginal product' of an input in production. (b) For the production technology in this question and the initial point x₁ = 10 and x2 = 20, what is the marginal product of a small increase in input 1? (c) Suppose input 2 increases and you are now at the initial point x₁ = 10 and x2 = 30. Relative to your answer in part (b), does the marginal product of input 1 decrease, increase, or stay constant? Explain briefly.arrow_forward
- QUESTION 1 For the production function Qs = K0.6L0.7 find the returns to scale, recall that a doubling of inputs that doulbes output is a CONSTANT returns to scale = 1.0 Please enter your response as a positive number with 1 decimal and 5/4 rounding (e.g. 1.15 = 1.2, 1.14 = 1.1).arrow_forwardSuppose a firm's production function is Q=200L +5L2-0.08L³. Which of the following is the Average Production of Labor (APL)? Oa. 200+10L-0.24L² Ob. 10L-0.24L² Oc. 5L-0.08L² Od. 200+5L-0.08L²arrow_forwardProvethatthetechnologyf(L,K)=L2+K2 exhibitsincreasingreturnstoscale. What is the formula for the average product of capital? For the total cost curve TC(q) = q3, prove the technology exhibits decreasing returns to scalearrow_forward
- F. None of the above 4) Please indicate whether the following production function has the characteristic of CRS, IRS and DRS. (b) F(K, L)=[aKP +(1-a)Le ]1/e, (1>a>0, 1>p) 1. CRS 2. IRS 3. DRS 4. None of the abovearrow_forwardWhat is the parameter in the production function in the following equation? F(K,N)=K N' ® OA. N O B. F OC. K OD. aarrow_forwardDoes this production function q = 9K0.8L0.1 exhibits [increasing return to scale, constant return to scale, decreasing constant return to scale]arrow_forward
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