How much must one increase capital

Assignment Help Microeconomics
Reference no: EM13894621

a) The marginal rate of technical substitution is

MRTS = ΔK/ΔL


If labor input, L, is decreased by one unit, by how much must one increase capital, K, to hold production constant? The answer is given by MRTS.

b) To show the relation with the marginal products, we start by the following reasoning: Suppose we increase the input of labor, ΔL, by one unit. Depending on how productive the labor is, this will increase production. The total increase will then be MPL*ΔL = Δq.

Suppose we then decrease the input of capital, ΔK, by an amount that makes the associated decrease in production just as large as the previous increase. We then get that MPK*ΔK = -Δq. Summing these two together must give a total change of zero:

MPL*ΔL = Δq
MPK*ΔK = -Δq

MPL*ΔL+MPK*ΔK = 0


Now, rearrange the last expression: Move MPK*ΔK over to the right-hand side, and then divide both sides by MPK and by -ΔL. You will then have an expression for MRTS:

This is the relation we asked for.

Reference no: EM13894621

Questions Cloud

Describe information system for different strategic decision : Give an example of three different operational decisions that Singing Valley personnel make each day. Describe an information system that could be used to facilitate those decisions.
Compound growth rate : What is the 2001- 2012 compound growth rate? Using the result obtained in part a, what is your 2013 projections?
What ways do the consumers gain or lose : 1.Think of two examples of price discrimination. In what ways do the consumers gain or lose? What information would you need to be certain in your answer?
Appropriate for describing the data : 1) Explain when and why a histogram is appropriate for describing the data. 2) Explain when and why a Bar Graph is appropriate for describing the data.
How much must one increase capital : The marginal rate of technical substitution is MRTS = ΔK/ΔL , If labor input, L, is decreased by one unit, by how much must one increase capital, K, to hold production constant? The answer is given by MRTS.
How you use collaborative knowledge-sharing in mis class : Explain how you use collaborative knowledge-sharing in your MIS class. Differentiate between techniques that are sponsored by your professor and techniques that you and your classmates have evolved on your own.
Determining the elements of a histogram : If you created a histogram what particular "elements" of a Histogram do you want the reader to notice? What is the overall impression that you expect the reader to have from looking at the Histogram?
Question regarding the irb ethic directives : Give details on following items that have shaped the modern IRB (Institutional Review Board). Then compare and contract the directives analyzing how each is important to the IRB ethic directives. One page to each of the three directives:
Participant swear words neutral : A study is being conducted to see if swearing can help reduce pain. Each participant is asking to plunge their hand in ice as long as the pain would allow. In one condition, the participant repeatedly yelled their favorite curse word. In the other..

Reviews

Write a Review

Microeconomics Questions & Answers

  The manager of aerospace division of general aeronautics

the manager of the aerospace division of general aeronautics has estimated the price it can charge for providing

  Which a perfectly-discriminating monopolist is efficient

characterize the long run equilibrium of a perfectly competitive industry in which average costs are U-shaped as output increases, under both restricted and free entry.

  Describe the different economic trade reforms

Describe the different economic trade reforms developed and adopted in Colombia by the Gaviria and Santos administrations. What were the advantages and disadvantages of those reforms for each time period and what did those reforms ultimately do or no..

  Efficient level of emissions reduction

Equimarginal principle requires that marginal costs be equated across the two polluters for emissions reduction costs to be minimized.

  Demand curve and represent it inequation form

Continuing from question 1, suppose there is a newcomer (indexed by C) to this (verysmall!) community with the following demand curve for water,  P = 30 - 2q

  Governments have several means available to guide and

governments have several means available to guide and influence competition in the marketplace. these means include

  A consumers utility function is ux y 2xy2 the price of x

a consumers utility function is ux y 2xy2 . the price of x is px the price of y is py and the consumers income is i. x

  Nationalization of industries so pricing is at marginal cost

Why are government imposed "average cost pricing" and "nationalization of industries so pricing is at marginal cost" both second best outcomes to the competitive markets? P=MC=min ATC long run equilibrium?

  Elasticity of demand for any particular brand to be high-low

There are many brands of laundry detergent, all equally effective. Would you expect the elasticity of demand for any particular brand to be high or low? Explain.

  Eaw method to decide which machine is better

Let NA = 8 years.  The company is expected to be in this business for a long time and it is expected that there will be very little change in technology. To use either the EAW or the PW method to decide which machine is better, what assumption will b..

  The theory of the communists may be summed up in a single

The theory of the Communists may be summed up in a single sentence: Abolition of private property,” This is from:

  Organize forum threads

Organize Forum Threads on page and apply settings to several or all threads. Threads are listed in a tabular format. The Threads can be sorted by clicking the column title or the caret at the top of each column.

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd