--%>
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 : Implicit Costs-Earning income The

    The economic cost borne by you as the college student which would be ignored by the bookkeeper whenever computing costs however that economists would consider the implicit cost of your education would be: (1) Food, similar costs and rent which you would incur even whe

    		•
  • Q : Single monopoly in market A monopoly is

    A monopoly is a single: (w) seller of differentiated products. (x) producer of a good for that there are no close substitutes. (y) producer of a good for that there are several substitutes. (z) buyer of products into the market.

    Q : Economic profit of purely competitive

    Purely competitive firms will experience economic profit, in a short-run equilibrium which is: (w) zero. (x) positive. (y) negative. (z) negative, zero, or positive are all possibilities. Hey friends please give yo

    		•
  • Q : Marginal revenue curve A monopolist

    A monopolist which does not price discriminate has a marginal revenue curve which slopes down faster than does the demand curve the monopolist faces since: (1) economies of scale are significant. (2) selling more requires lowering the

    		•
  • Q : Capital intensive forms of production

    Can someone please help me in finding out the accurate answer from the following question. Associative to firms that do not practice the wage discrimination, firms which wage-discriminate tend to: (1) Forego highest gains by hiring the less productive workers. (2) Dis

    		•
  • Q : Law of demand Describe the law of

    Describe the law of demand with help of a schedule diagram? Answer: The Law of demand states that there is an inverse relationship among the price of a commodity an

    		•
  • Q : Economic good becomes an economic bad

    Economic good becomes an economic bad whenever consumption is expanded into an area where: (1) Marginal returns are reducing. (2) Sellers experience an honest hazard. (3) Marginal utility is negative. (4) Buyers suffer from unfavorable choice. (5) Exc

    		•
  • Q : Accounting profits when economic profit

    Whenever economic profit equivalents zero, then the accounting profits: (i) Are explicit costs of the remaining in business. (ii) Will induce raised investment even when accounting costs are much low. (iii) Are too zero. (iv) Reflect normal returns on the investment t

    		•
  • Q : Examples of pure economic rent The

    The clearest illustrations of pure economic rent are payments: (1) for improvements which increase the productivity of resources. (2) to owners of unimproved land. (3) exceeding the productivity of a resource. (4) received by owners of homogeneous res

    		•
  • Q : Profits of monopoly firm A monopoly

    A monopoly firm's profits: (w) equal only normal profits in long-run equilibrium. (x) may be whatever level the firm wishes. (y) are maximized where MC = MR. (z) tend to be lower than that of pure competitors. Hell

    		•