--%>
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 : Short-run market supply curve of a

    Short-run market supply curve of a competitive industry is derived by summing all the firms’: (1) average cost curves vertically. (2) short-run supply curves horizontally. (3) production capacities along with the resources available. (4) individ

    		•
  • 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 : Price elasticity coefficient at

    Every point beside a vertical demand curve (when there was such a thing) would include a price elasticity coefficient equivalent to: (1) 1. (2)  1. (3) zero. (4) infinity. (5)  1/2. Hey friends please giv

    		•
  • Q : Market structure of monopoly A monopoly

    A monopoly is a type of market structure in that one: (w) seller produces whole industry’s output. (x) giant firm is a price taker. (y) barrier to entry exists. (z) giant firm is the single buyer of resources.

    Q : Expected Rate of Inflation What is the

    What is the Expected Rate of Inflation. Illustrate the term.

    		•
  • Q : Total revenue of monopolistically

    A particular monopolistically competitive firm’s total revenue is probably to increase when this: (w) increases the prices of its products and consumer demand is elastic. (x) maintains its original price even if all of its compe

    		•
  • Q : Shifting of labor demand for Labor The

    The labor demand will shift due to the modifications in all of the given except: (1) Prices of other resources. (2) Prices of the output. (3) MPP (4) Salaries. Can someone please help me in finding out the accurate answer from the

    		•
  • Q : Corporations stockholders not liable

    The corporation’s stockholders are not personally liable for the debts of firm since: (1) The Corporation is considered as a legal person, separate from its owner. (2) Usually there are too many stockholders to try to hold them all accountable. (3) In a corporat

    		•
  • Q : Operating in the short run The computer

    The computer hard disk manufacturer can make a decision how many people to hire and how many supplies to purchase however can’t change the size of factory. This organization is: (1) Operating in short run. (2) Operating in long run. (3) Vertically integrated. (4

    		•
  • Q : Example of variable in Short Run The

    The resource which a carpet manufacturer is most probable to view as the variable in short run would be: (i) The warehouse it owns (ii) Truck driver. (iii) The truck on a 5-year lease agreement. (iv) Firm’s biggest factory. C

    		•