What is the marginal product of labor function

Assignment Help Econometrics
Reference no: EM13241389

Consider the production function Q= 20K1/2L1/2 The firm operates in the short run with 16 units of capital.

a. The firm's short-run production function is Q=?
b. The average product of labor function is AP=?
c. The marginal product of labor function is MP=?
d. Show that marginal product diminishes for all levels of labor usage.

For the short-run production function in exercise 1, let the wage be $20.

a. Derive AVC(Q).
b. When 160 units are produced, ______ units of labor are employed, and the average product is ____. Average variable cost is $______.
c. Derive SMC(Q).
d. Using the marginal product (MP) function derived in part c, the marginal product is _____ when 160 units are produced. SMC is $_______. Verify that SMC (Q) evaluated at Q=4 is identical to calculating SMC by using the ratio w/MP.

Reference no: EM13241389

Questions Cloud

Demonstrate mathematically that atc and avc are not parallel : a. Demonstrate mathematically that ATC and AVC are not parallel. b. Show mathematically that when both ATC and AVC are falling, ATC falls faster than AVC, and when both are rising, AVC rises faster than ATC.
Find out the mass of the solid produced in the reaction : When 50.0mL of a 1.00M solution of Fe(NO3)3 is mixed with 50.0mL of a 1.00M solution of NaOH a precipitate forms. Determine the mass of the solid produced in this reaction
How many electrons pass through the wires : A defibrillator is used during a heart attack to restore the heart to its normal beating pattern, How many electrons pass through the wires connected to the patient
A purchasing agent for a national chain of seafood : A purchasing agent for a national chain of seafood restaurants wants to estimate the mean weight of shrimp in a large catch. How many shrimp should be sampled from the catch to be 95% confident that the sample mean will be off from the actual mean we..
What is the marginal product of labor function : Consider the production function Q= 20K1/2L1/2 The firm operates in the short run with 16 units of capital.Using the marginal product (MP) function derived in part c, the marginal product is _____ when 160 units are produced.
Is the political strategist belief warranted : A political strategists believes that less than 55% of voters in a certain state support a particular issue. He then commission s a poll of 500 voters and 54% of them support this issue. If a = .05, is the political strategist's belief warranted
Determine if the 2 suppliers have equal standard deviations : A random sample of rivets from 2 suppliers were compared to see what the mean diameter was from each and a test to determine whether the population means were the same for the 2 suppliers. Now a comparison of the variation in diameter is needed.
Explain what is the molarity and molality of the h2so4 : A sulfuric acid solution is 54.0% H2SO4 by mass and has a density of 1.59 g/mL at 20 C. What is the molarity and molality of the H2SO4 solutions
Determine the leghth of wire : A tungsten wire has a radius of 0.070 mm and is heated from 20.0 to 1416 oC. The temperature coefficient of resistivity is ? = 4.5 x 10-3 (Co)-1, How long is the wire

Reviews

Write a Review

Econometrics Questions & Answers

  Find the long-run values of r-c-i-p and v

assume that the government decides toreduce spending and taxes and so G = T = 274.16. What value mustthe central bank set for M in order to keep the price levelconstant following the government downsizing

  Find the firms profit maximizing price and quantity

The firm's production manager claims that the firm's average cost of production is minimized at an output of 40 units. Furthermore, she claims that 40 units is the firm's profit maximizing level of output. Explain whether these claims are correct.

  Determine how the marginal cost per seat is constant

Each month, an airline sells 1,500 business-class tickets from London to Paris at $200 a ticket, and 6,000 economy-class tickets at $80 a ticket. Use this information to estimate the price elasticities of demand of business travelers and tourists ..

  What is the present value of a security that pays you

if the interest rate is 10%, what is the present value of a security that pays you $1100 next year, $1210 the year after, and $1331 the year after if the security sold for $3500, is the yield to maturity greater or less then 10% Why

  What is the probability of exactly 5 defective coins

The U.S. mint, which produced billions of coins each year, has a mean defect rate of 5.2 coins per day. Let X be the number of defective coins produced on a given day. What is the probability of exactly 5 defective coins on a given day

  What lump sum should he deposit on the childs bday

A man wishes to set aside money for his daughter's college education. His goal is to have a bank savings account containing an amount equivalent to $20,000 in today's dollars at the girl's 18th birthday. The estimated rate is 8%.

  What must be nominal and effective interest rates per year

Joseph starts to make quarterly deposits of $1,500 (at the end of a quarter) into an investment account at the age of 45. If he wants to have $250,000 when he retires at the age of 65, what must be the nominal and the effective interest rates per ..

  What if the price level unexpectedly falls

Full-employment level of real output is $250 and the initially the price level is 100. Use the short-run aggregate supply schedules above to answer the questions that follow a)What will be the level of real output in the short run if the price leve..

  Find what is the predicted purchase behavior

Increasing customer satisfaction typically results in increased purchase behavior. For many products, there is more than one measure of customer satisfaction. In many of these instances, purchase behavior can increase dramatically with an increase..

  What will happen to the equilibrium price and quantity

Scientists have developed a bacteria that they believe will lower the freezing point of agricultural products. This innovation could save farmers $1 billion a year in crops now lost to frost damage. If this technology becomes widely used, what wil..

  How much output will each firm produce in equilibrium

The inverse market demand in a homogeneous product cournot duopoly is P=280-2Q=280-2(q1+q2) and costs are C1(q1) = 20q1 and C2(q2) = 30q2. a. How much output will each firm produce in equilibrium b. What are the equilibrium market shares for these t..

  Calculate the equilibrium level of income or real gdp

ADVANCED ANALYSIS Assume that the consumption schedule for a private open economy is such that consumption C = 50 + 0.8Y. Assume further that planned investment Ig and net exports Xn are independent of the level of real GDP and constant at Ig = 30..

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