Question 5. The Cobb-Douglas production firnction is widely used in economic and empiricalanalysis because it possesses several useful mathematical properties. The general form of theCobb-Douglas production is given as: Q = AkaL where A is a positive constant and 0< a<1,0

Part a and c is answered here as they are marked. a. Let Akα=BMPL=BβLβ-1dMPLdL=Bβ(β-1)Lβ-2<0,…

Question 5. The Cobb-Douglas production function is widely used in economic and empirical analysis because it possesses several useful mothematical properties. The general form of the Cobb-Douglas production is given as: O = AkaU where A is a positive constant and 0

Question 5. The Cobb-Douglas production function is widely used in economic and empirical analysis because it possesses several useful mothematical properties. The general form of the Cobb-Douglas production is given as: O = AkaU where A is a positive constant and 0

ENGR.ECONOMIC ANALYSIS

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Chapter1: Making Economics Decisions

Section: Chapter Questions

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QUESTION 39 The folllowing table shows data for a simple production function. Capital (K). Labor (L) 10 0 10 1 10 2 3 4 5 6 10 10 10 10 TP or Q AP MP 6 14 20 14 8 Assume that the cost of capital, PK, is $50 per unit, and the cost of labor, PL, is $100 per unit. Marginal cost, MC, is at minimum when labor, L, is equal to O2 units. O4 units. O 3 units. 5 units.
8. If a firm has a production function of the form: Q = L0.5K2, what can we conclude? (a) The firm has a quasi-concave production function and will experience constant marginal returns to labour and increasing marginal returns to capital. (b) The firm has a quasi-concave production function and will experience decreasing marginal returns to labour and increasing marginal returns to capital. (c) The firm has a convex production function and will experience increasing marginal returns to labour and increasing marginal returns to capital. (d) The firm has a convex production function and will experience constant marginal returns to labour and increasing marginal returns to capital. (e) The firm has a linear production function and will experience decreasing marginal returns to labour and increasing marginal returns to capital.
I don't believe part (b) was fully answered. Can you please solve it with more detail?
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Please answer in detail according to the picture. Show that the cost function is homogeneous of degree 1/(α+β) in output. How do the returns to scale (degree of homogeneity of the production function) relate to the propertiesof the cost function? Does this make sense to you? Explain clearly why.
pls solve
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Suppose the representative firm of the economy has a production function of the form F(K, N) = AKO.5N 0.5 The marginal product of labor is then given by MP N = 0.5AK0.5N –0.5 . The current capital 3. stock is K = 40. (a) Holding fixed capital at 40, draw a graph of output as a function of labor. What are some important features of this graph? (b) If A = 4 what is the Labor Demand Curve, ND(w), as a function of the real wage w? (c) Suppose labor is supplied inelastically with NS(w)= 10. What is the equilibrium wage w, employment level N, and full employment output Y ? (d) Suppose that productivity unexpectedly increases to A = 6. What is the new equilibrium wage w, employment level N, and full employment output Y ? (e) Depict this change graphically. Denote the original labor supply and demand curves by NS and ND respectively. Denote the new labor demand curve after the productivity shock by ND' . (Does not need to be to scale).
In economics and econometrics, the Cobb-Douglas production function is a particular functional form of ne production function, widely used to represent the technological relationship between the amounts of two r more inputs (particularly physical capital and labor) and the amount of output that can be produced by nose inputs. The function they used to model production is defined by, P(L, K) = 6LªK!-a where P is the total production (the monetary value of all goods produced in a year), L is the amount f labor (the total number of person-hours worked in a year), and K is the amount of capital invested (the onetary worth of all machinery, equipment, and buildings). Its domain is {(L, k)|L > 0, K > 0} because L nd K represent labor and capital and are therefore never negative. Show that the Cobb-Douglas production function can be written as P P(L, K) = 6LªK1-a → In K L In b+ a ln K