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- Does this production function q = 9K0.8L0.1 exhibits [increasing return to scale, constant return to scale, decreasing constant return to scale]y = F(L,K) = min(L,3K) Show if the leontief production function displays constant returns to scale.Which of the following production functions exhibits constant return to scale? A) q=KL B) q=KL0.5 C) q=K+L D) q=log(KL)
- Q2. Determine the returns to scale of the following production function: Hand written plzz Y = 5K0.5 +3L0.5 (a) constant (b) increasing (c) decreasing (d) indeterminateQ2. Determine the returns to scale of the following production function: Y = 5K0.5 +3L0.5 (a) constant (b) increasing (c) decreasing (d) indeterminateDetermine the returns to scale of this production function: F(x1, x2) = [xỉ + x3]!/2 %3D A. Constant return to scale B. Increasing return to scale C. Decreasing return to scale
- Find the returns to scale for the following production functions: q = K.34L.34 q = KLM q = [0.3K.5 + 0.7L.5]2 q = [min (K, 2L)]2Question 3 For each one of the following production function determine whether it has constant, increasing or decreasing return to scale (prove): a. F(K, L) = 5K+ 3L b. F(K,L) K0.7 + 10.3 c. F(K,L)= K0.210.1 = d. F (K, L) = 5 (+1)For the production function Q = 0.2L2 returns to scale is: a.Constant Returns to Scale b.Decreasing Returns to Scale c.Increasing Returns to Scale d.Zero Return to Scale
- Suppose that a rock star gives concerts. The production function of the concert is the following: Q(C,A,G) = (C – 10)'/4A/4G/4 where C represents hourly contribution of guitarist Chris; A represents hourly contribution of guitarist Ataman and G represents hourly contribution of guitarist George. a) If Chris has 26 units of hours, is there increasing returns to scale in production of concerts? b) Assume George has fixed amount of hours, G=16, and hourly wage of G is 5. Denote the wage of Chris= r and the hourly wage of Ataman =w. Derive Rock star's demand for inputs-C and A, respectively-as a function of output (Q). c) Assume that George has fixed amount of hours G=16 and hourly wage of G is 5. Additionally, you are given that the wage of C = r=100 and the unit wage of Ataman=w=100. Show that Rock star's short run cost function is given by TC(Q) = 1000 +50Q²-Ben's swim coach estimates that his time, t, in the 100-yard butterfly at a big upcoming meet as a function of the number of yards he swims per week, y, is t = 50+8e-0.00005y Based on this production function, his coach also estimates that if Ben swims 20,000 yards per week, his time will be 52.94 seconds, and he will finish tenth place. If he swims 40,000 yards per week, his time will be 51.08 seconds, and he will come in third. If he swims 60,000 yards per week, his time will be 50.40 seconds, and he will win the meet. Use calculus to determine Ben's marginal productivity of time given the number of yards he practices. Is there diminishing marginal productivity of practice yards? Ben's marginal productivity of swim time given y practice yards (MP) is (Properly format your expression using the tools in the palette. Hover over tools to see keyboard shortcuts. E.g., a superscript can be created with the ^ MPy character.)Check the following production functions verify the following (i) out increasing L and K, (in) diminishing marginal product of K and L, (iii) constant return to scale. Y(K, L) = K^ (barAlpha) * L^ (1-barAlpha) + barA Y(K,L) = K^4 + L^4