Ask Microeconomics Expert

QUANTITATIVE METHODS:

Answer all the problems. Section A to be answered in about 500 words each and Section B to be answered in about 300 words each.

Section A:
 
problem 1: Consider the utility function u = f (x1.....xn) where xi, i = 1,2,……., n are the quantities of the n goods consumed. Let the price of good xi < pi, i = 1, 2,…….., n. Let M be the consumer’s income. Show that the Lagrangian multiplier of the utility maximization problem equivalents the marginal utility of income.

problem 2:

a) What is the normal probability distribution function? Also state its properties.

b) The concentration of impurities in a semiconductor used in the production of microprocessors for computer is a normally distributed random variable with mean 127 parts per million and standard deviation 22 parts per million. The semiconductor is acceptable only if its concentration of impurities is below 150 parts per million. What is the proportion of semiconductors which are acceptable for use? (The area beneath the standard normal curve for the value of Z = 1.5 is 0.668).
 
Section B:
 
problem 3: A monopolist firm’s demand curve is given by P = 100-2q.

a) Find out its marginal revenue function.
 
b) What is the relationship between the slopes of average and marginal revenue curves?
 
c) At what price is the marginal revenue 0 (zero)?
 
problem 4

a) Describe the Hawkins-Simon condition for the viability of an input-output table.
 
b) Given below is the input matrix (A) and the final demand (D) vector.

2146_input-output matrix.jpg

prepare down the specific input-output matrix for this model. Check if the given data satisfy the Hawkins-Simon-condition.

problem 5: Find the extreme value(s) of z = 2x12 -x1x2 + 4x22 + x3 + x32 +2?

By using the Hessian matrix check if the extreme value(s) is/are maximum or minimum.
 
problem 6: Assume that x has the given probability distribution.

801_probability distribution.jpg

problem 7: Describe the method of maximum likelihood for estimating the value of a population parameter.

Microeconomics, Economics

  • Category:- Microeconomics
  • Reference No.:- M92052

Have any Question?


Related Questions in Microeconomics

Question show the market for cigarettes in equilibrium

Question: Show the market for cigarettes in equilibrium, assuming that there are no laws banning smoking in public. Label the equilibrium private market price and quantity as Pm and Qm. Add whatever is needed to the mode ...

Question recycling is a relatively inexpensive solution to

Question: Recycling is a relatively inexpensive solution to much of the environmental contamination from plastics, glass, and other waste materials. Is it a sound policy to make it mandatory for everybody to recycle? The ...

Question consider two ways of protecting elephants from

Question: Consider two ways of protecting elephants from poachers in African countries. In one approach, the government sets up enormous national parks that have sufficient habitat for elephants to thrive and forbids all ...

Question suppose you want to put a dollar value on the

Question: Suppose you want to put a dollar value on the external costs of carbon emissions from a power plant. What information or data would you obtain to measure the external [not social] cost? The response must be typ ...

Question in the tradeoff between economic output and

Question: In the tradeoff between economic output and environmental protection, what do the combinations on the protection possibility curve represent? The response must be typed, single spaced, must be in times new roma ...

Question consider the case of global environmental problems

Question: Consider the case of global environmental problems that spill across international borders as a prisoner's dilemma of the sort studied in Monopolistic Competition and Oligopoly. Say that there are two countries ...

Question consider two approaches to reducing emissions of

Question: Consider two approaches to reducing emissions of CO2 into the environment from manufacturing industries in the United States. In the first approach, the U.S. government makes it a policy to use only predetermin ...

Question the state of colorado requires oil and gas

Question: The state of Colorado requires oil and gas companies who use fracking techniques to return the land to its original condition after the oil and gas extractions. Table 12.9 shows the total cost and total benefit ...

Question suppose a city releases 16 million gallons of raw

Question: Suppose a city releases 16 million gallons of raw sewage into a nearby lake. Table shows the total costs of cleaning up the sewage to different levels, together with the total benefits of doing so. (Benefits in ...

Question four firms called elm maple oak and cherry produce

Question: Four firms called Elm, Maple, Oak, and Cherry, produce wooden chairs. However, they also produce a great deal of garbage (a mixture of glue, varnish, sandpaper, and wood scraps). The first row of Table 12.6 sho ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

Why might a bank avoid the use of interest rate swaps even

Why might a bank avoid the use of interest rate swaps, even when the institution is exposed to significant interest rate

Describe the difference between zero coupon bonds and

Describe the difference between zero coupon bonds and coupon bonds. Under what conditions will a coupon bond sell at a p

Compute the present value of an annuity of 880 per year

Compute the present value of an annuity of $ 880 per year for 16 years, given a discount rate of 6 percent per annum. As

Compute the present value of an 1150 payment made in ten

Compute the present value of an $1,150 payment made in ten years when the discount rate is 12 percent. (Do not round int

Compute the present value of an annuity of 699 per year

Compute the present value of an annuity of $ 699 per year for 19 years, given a discount rate of 6 percent per annum. As