--%>
Assignment Help - homework help

Market demand function

The market  for good X consists  of 2 consumers. consumer  1',s demand  for good X is:

X1 :  15 - 3Px + 0.5PY + .02I1

I1 and I2 are incomes of consumer 1 and 2, respectively.  Px and Py are the prices of goods X and Y, respectively.

a. What is the equation  for the market  demand  function  for X? Graph the two individual demand curves and the market  demand  curve  for the case which  I1 : $2000, I2: $3000, and Py:$ 10.

b. Suppose Px rises  from $5 to $5.05. What is the market price elasticity of demand?

c. Suppose  income  is redistributed so that each consumer  has $2500. If Px: 5 and Py: 10, how much does the quantity of X demanded  change because  of the redistribution?

E

Expert

Verified

a) Equation for consumer 1: X1= 15-3Px + 0.5 Py +0.2I1

Equation for consumer2:  X2= 15-3Px + 0.5 Py + 0.2 I2

Market demand curve is  calculated by aggregating the individual demand curves.

So, By adding the two demand curves we get:  X*=30-6Px +Py + 0.2I1+ 0.2I2

Put the value of Py and I1 and I2.

X*= 30 -6Px + 10 + 0.2(2000) + 0.2(3000) is the market demand curve for the good X

Individual Demand curves will be:

X1= 15-3Px +5 + 400 or X1= 420-3Px
X2= 15-3Px+ 5 +600 or X2= 620-3Px
X*= 30-6Px + 10+ 1000 or X*= 1040-6Px

b. For market   price  elasticity we use market demand curve:

X*= 1040- 6Px

Elasticity:
dx/dp(p/x)=
dx/dp= -6
-6(5/1010)=-0.029

P= original price-which is 5(that is price before the price change)
X= orginal  quantity: quantity demanded at original price of 5= 1040-6(5)=1010
And dx/dP=slope of market demand curve

c. Now each consumer has 2500. So, Put the values In the market demand curve:

X*= 2040-6Px
If Px=6
Then X* demanded will be 2004
And Earlier it would be: X*= 1040-36= 1004
So the change in quantity demanded will be: 1000

   Related Questions in Microeconomics

  • Q : Break-even level of income under

    For a family of four the break-even level of income under the negative income tax system demonstrated in this figure is: (1) $15,000 per year. (2) $30,000 per year. (3) $45,000 per year. (4) $60,000 per year. (5) $75,000 per year.

    		•
  • Q : Problem on Ceteris Paribus Can someone

    Can someone please help me in finding out the accurate answer from the following question. Supposing everything to be constant apart from the variables being studied is termed as the: (1) Ceteris paribus assumption. (2) Ex post facto assumption. (3) Post hoc ergo prop

    		•
  • Q : Differentiate project feasibility study

    Differentiate between project feasibility study and project proposal?

    		•
  • Q : Meritocracy in System of Distribution

    An emphasis onto socioeconomic mobility based upon equality of opportunity, independently of inheritances of land or else physical capital, which is a centerpiece of a system of distribution termed as: (1) meritocracy. (2) laissez faire capitalism. (3

    		•
  • Q : Economic profit generating purely

    In this illustrated figure in below the only purely competitive firm currently generating economic profit is in: (w) Firm A. (x) Firm B. (y) Firm C. (z) Firm D.

    Q : Automation and Wage Rates When physical

    When physical capital becomes cheaper, in that case: (w) some workers may be displaced but worker productivity usually rises. (x) automation will make jobs for more workers. (y) workers will supply more labor services. (z) labor supply curves will move in backward ben

    		•
  • Q : Biography-Thorstein Veblen The thought

    The thought that the desire of people to purchase goods is culturally recognized as opposed to the price determined is the vision of: (i) Irving Fisher. (ii) Karl Marx. (iii) Thorstein Veblen. (iv) Ludwig von Mises. (v) Antoine Augustin.

    Q : Estimate Gini index Computing the

    Computing the proportion of the area above a Lorenz curve although below the 45-degree reference line relative to the whole area below the reference line yields a numeric measure of inequality termed as a/an: (w) Gini index. (x) inequality coefficient

    		•
  • Q : Price elasticity of demand when price

    When P = $10 for Tiny Tee-shirts, and Q = 20, but when P = $5, Q = 25. The price elasticity of demand for Tiny Tee-shirts of: (w) 3.0. (x) 1/3. (y) 1/2. (z) 21. Can anybody suggest me the proper explanation for giv

    		•
  • Q : Profit-maximizing output for economic

    Babble-On maintains world-wide patents for software which translates any of 314 spoken languages in text, along with automatic audio and text translations within any of the other three-hundred-thirteen languages. When Babble-On produces its profit-maximizing o

    		•