--%>
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 : When is not total annual revenue

    As per this demonstrated figure in below, unless something changes the total annual revenue of Robot Butlers, Inc. Can’t exceed: (1) $10,000. (2) $20,000. (3) $100 million. (4) $200 million. (5) $400 million.

  • Q : Meaning of Caveat emptor I have a

    I have a problem in economics on Meaning of Caveat emptor. Please help me in the following question. Caveat emptor signifies: (i) Let the seller beware! (ii) Everything else held steady. (iii) Let things modify if they should. (iv) Charge whatever the market will allo

    		•
  • Q : Define regressive in taxes as

    Line T2 depicts as in below graph a tax system which is: (i) progressive. (ii) recessive. (iii) proportional. (iv) biased. (v) regressive.

    Q : Evidence for Diminishing Marginal

    Evidence that may potentially be cited as conflicting with the law of diminishing marginal utility would comprise: (i) Della’s enthusiasm for all-you-can-eat buffet diminishes subsequent to her fifth plate of lasagna. (ii) Jethro trades in his 1981 Gremlin on th

    		•
  • Q : Market Power-Monopsony Power-Demand for

    Can someone please help me in finding out the accurate answer from the following question. Siberian Software vends custom programs to multinational corporations. Its programs are coded in a remote region. In equilibrium, the Siberi

    		•
  • Q : Negative marginal utility The economic

    The economic good becomes an economic bad whenever consumption is expanded into an area where: (1) Sellers experience the moral hazard.  (2) Marginal returns are diminishing. (3) Marginal utility is negative. (4) Buyers suffer from adverse choice. (5) Extreme cho

    		•
  • Q : Estimation of total cost in specific

    Total cost can be estimated as area: (i) 0bcq1. (ii) 0adq2. (iii) 0Peq2. (iv) aPed. (v) Cannot be measured in illustrated figure. 22</span></p> </div> <!-- /comment-box --> </li> </td> </tr><tr> <td> <li> <div class=

    Q : Horizontal sum of the quantities in

    The short-run supply curve for a purely competitive industry is the horizontal total of the: (a) quantities demanded by consumers at each price. (b) prices charged by individual firms for each quantity supplied. (c) quantities supplied by established

    		•
  • Q : Equilibrium rent imposing price ceiling

    When the New York City government only permits landlords to charge $800 a month for a little apartment while equilibrium rent would be $1,500, this has imposed: (w) price floor. (x) regulation which will result in market surpluses. (y) regulation that

    		•
  • Q : Human Capital and Wage Differentials

    Relative to the equally strong, smart and hard working people with minimum education, the high school graduates who invest much heavily in more advanced formal education are probable to experience the lower average: (i) Wages whenever first enter the work force. (ii)

    		•