A firm's production function is given by the4L0.5K0.5. Which of the followingequation Q =is false?%3DThe marginal product of labor is thepartial derivative ƏQ/ƏL.The marginal product of capital is thepartial derivative aQ/aK.JQ/ƏL = 2L-0.5KO.5 =dQ/ƏK = 4L0.5K-0.5 –

In a market, a firm's production function can be used to analyze the contribution of input variables…

Answered: A firm's production function is given…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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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.
F (L, K) = L0.2K0.7， The wage rate (price per unit of labour) is w = 2 and the capital rental rate (price per unit of capital) is r = 7. Derive the equation of the isoquant for y = 2 (with K in the vertical axis and L in the horizontal axis). Use the first and second derivative to show that this curve is decreasing and convex. Provide a graphical representation of the isoquant indicating at least one combination of labour and capital in this curve.
A company is currently using its two inputs L and K, where MPL - 3.2K04L 02 and MPK - 1.6K -0.6 0.8 The firm pays a wage (W) of $80 per L and pays a rental rate of capital (R) of $40 per K. unit(s) of K for every The optimal (cost minimizing) combination of labor and capital is to employ unit of L (K should be times L). Answer as a whole number.
1. A firm's production technology is Y = A * K^0.25 * L^0.75, where the technology level A=8. For such a production function the marginal product of capital is MPK = 0.25 * 8 * K^-0.75 * L^0.75 The firm is stuck with K=81 but is flexible on workers. If the price of the firm's output is P=20 and the cost of a unit of capital is R=8.33, how many workers should the firm have? Round your answer to the whole worker. The answer is 10. I just need to know how to solve it
You are a manager at Glass Incorporated—a mirror and window supplier. Recently, you conducted a study of the production process for your single-side encapsulated window. The results from the study are summarized in the following table and are based on the 8 units of capital currently available at your plant. Each unit of labor costs RM 60, each unit of capital is RM 20, and your encapsulated windows sell for RM 12 each. Labor L Capital K Output Q Marginal Product of Labor MPL Average Product of Labor APL Average Product of Capital APK Value Marginal Product of Labor VMPL 0 8 0 1 8 10 2 8 30 3 8 60 4 8 80 5 8 90 6 8 95 7 8 95 8 8 90 9 8 80 10 8 60 11 8 30…
Suppose 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-0.08L²
pls solve
What is the marginal physical productivity (MPP) of the inputs given the function Q = 12a? + 2a102 + 2a3? Select one: Оа. МP, — 24л1 + 212 MPP, = 2x1 + 4x2 %3D Ob. МР 24 + 22 + 2 MPP, = 201 + 4.x2 %3D Ос. МPP., — 241, + 211 %3D MPP, = 2x1 + 4x1 %3D Od. MPP:, - 24л1 + 21 MPP,, = 2x2 + 4x2 %3D %3D
oj Consider the Cobb-Douglas production function P(L, K) = 6L0.6 K04_ Find the %3D total units of production when 19 units of labor and 12 units of capital are invested.
V1
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).
Could I have help or explanation on how to find the LTC min and L* and k*

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A firm's production function is given by the 4L0.5K0.5. Which of the following equation Q = is false? The marginal product of labor is the partial derivative aQ/aL. The marginal product of capital is the partial derivative aQ/ƏK. ƏQ/ƏL = 2L-0.5KO.5 = dQ/ƏK = 4L0.5K-0.5 – %D