Optimal mix of input factors of production for long run cost
Not what you're looking for?
Explain why a firm's long-run costs are minimized when it employs a mix of resources such that the ratio of all of the resources' marginal products to their wage rates are equalized. Use a graph to illustrate.
Purchase this Solution
Solution Summary
This post proves mathematically with the help of equations for budget line, isocost curves and isoquant curves that the long run costs are minimized when the firm employs a mix of resources such that the ratio of all of the resources' marginal products to their wage rates are equalized. All assumptions and symbols used in the equations are explained and the post also includes the graphical representation for easier understanding.
Solution Preview
See the attached file. The text here may not print correctly for tables and symbols. Thanks
Long Run Costs
________________________________________
Explain why a firm's long-run costs are minimized when it employs a mix of resources such that the ratio of all of the resources' marginal products to their wage rates is equalized. Use a graph to illustrate.
Let us assume that there are two types of resources used for production.
X= Quantity of input X
Y= Quantity of input Y
Px=Wage rate for resource X
Py=Wage rate for resource Y
I= Budget available with the firm to spent on resource X and Y.
The amount of money spent on resource X= X*Px
The amount of money spent on resource Y= Y*Py
Total amount spent on both resources = X*Px + Y*Py
Total Cost (TC) = X*Px + Y*Py
Since the total ...
Purchase this Solution
Free BrainMass Quizzes
Basics of Economics
Quiz will help you to review some basics of microeconomics and macroeconomics which are often not understood.
Elementary Microeconomics
This quiz reviews the basic concept of supply and demand analysis.
Economics, Basic Concepts, Demand-Supply-Equilibrium
The quiz tests the basic concepts of demand, supply, and equilibrium in a free market.
Economic Issues and Concepts
This quiz provides a review of the basic microeconomic concepts. Students can test their understanding of major economic issues.
Pricing Strategies
Discussion about various pricing techniques of profit-seeking firms.