3. Do the following production functions exhibit constant, decreasing or increasing returns to scale? Show your work. A. Q=LK³ B. Q=L1/2K 1/4 = C. Q 10K+5L D. Q=2K²+L³
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- Do you think that the taxicab industry in large cities would be subject to significant economies of scale? Why or why not?What is a long-run average cost curve?What shapes would you generally expect each of the following cost curves to have: fixed costs, variable costs, marginal costs, average total costs, and average variable costs?
- 10. Do the following production functions have increasing, decreasing, or constant returns to scale? Show work.(i) Q = 3K+2L (ii) Q = 6KL1.Suppose a chair manufacturer is producing in the short run (with its existing plant andequipment). The manufacturer has observed the following levels of production correspondingto different numbers of workers:Number of Workers Number ofChairs 1 10 2 18 3 24 4 28 5 30 6 28 7 25a. Calculate the marginal and average product of labor for this production function.b. Does this production function exhibit diminishing returns to labor? Explain.c. Explain intuitively what might cause the marginal product of labor to becomenegative.12. Which of the following production function shows decreasing returns to scale? (a) f(r) = min{x1, 12}. 1/4 (b) f(z) = xỉ + x}/2 1/4 1/2 (c) f(x) = r1 + xj"x (d) f(x) = VE +a3.
- You observe the following data points on a production function: K/L Y/L 1 10 2 13 3 14 What property does it display? increasing returns diminishing returns O constant returns O negative returns4 For each of the following production functions, where y denotes the output and ai, i = 1,2 are inputs, determine if they exhibit constant, decreasing or increasing returns to scale 4.a y = 15,r 1 E2 4.b y = 2x1 + 15x2 4.c y = min (3x1, 2x2) 2x1 + 15x29:15 AM O Y O 65 Micro15 - Saved d. Righiward A_ 15. When returns to scale are decreasing, total output a. Increases b. Deсreases c. Does not change d. Varies IV. Match The term (column B) that best fits the phrases (Column A below. Column A Column B a. Marginal product A_1. Describe the functional relationship of input and output v_2. Production function b. Least-cost combination _C_3, Infinitesimal change c. Isocost line 4. Output yielded from the last unit of input d. isquant 5. TP divided by the number of variable inputs e. Production function 6. Refers to the declining trend to MP f. Counterproductive conditions 7. Illustrates the varied combinations of inputs at the same level of plant capacity g Finite change 8. Contains combinations of inputs that the same budget can purchase given constant prices h. Marginal rate of substitution 9. Price of labor inputs over price of capital inputs i. Economies of scale 10. Ration between output and input j. Diseconomies of scale k. Maximum…