1. You are given the following production function for a cost-minimizing firm: Q=500K o.5 the price of capital is $1,600 and the wage is $100. A. What type of production function is this? Can this firm ( in the long run) substitute between capital and labor and remain at the same level of output? What type of solution will it produce (interior or corner)? B. The firm wants to produce 20,000 units of output. What are the optimal levels of the capital and labor inputs? What is the total cost of production ? C. Graph (B)- include the label Q=20,000 units, Isocost label TC= , Optimal input bundle, intercept values of the isocost line, optimal levels of labor and capital D. Consider the firm faces a financial budget constraint of $20,000. If the firm seeks to maximize output , compute the optimal capital and labor inputs. Also compute the resulting quantity of output with this financial constraint L0.5. E. What is the solution to the firms Short run cost minimization problem, when the firms wants to produce 20,000 units of output, but capital is fixed at K-bar%3D4 in the short run. What is the total cost of this level of output when capital is fixed

1. You are given the following production function for a cost-minimizing firm: Q=500K o.5 the price of capital is $1,600 and the wage is $100. A. What type of production function is this? Can this firm ( in the long run) substitute between capital and labor and remain at the same level of output? What type of solution will it produce (interior or corner)? B. The firm wants to produce 20,000 units of output. What are the optimal levels of the capital and labor inputs? What is the total cost of production ? C. Graph (B)- include the label Q=20,000 units, Isocost label TC= , Optimal input bundle, intercept values of the isocost line, optimal levels of labor and capital D. Consider the firm faces a financial budget constraint of $20,000. If the firm seeks to maximize output , compute the optimal capital and labor inputs. Also compute the resulting quantity of output with this financial constraint L0.5. E. What is the solution to the firms Short run cost minimization problem, when the firms wants to produce 20,000 units of output, but capital is fixed at K-bar%3D4 in the short run. What is the total cost of this level of output when capital is fixed

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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Please see the attached photo, and Only solve part d, e, and f
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