--%>
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 : Advantage of Law of Equal Marginal in

    Assume that the last week your food budget yielded 5 utils from your previous $4 burrito; and 4 utils from your previous $5 hot fudge sundae. Purchasing one: (i) More burrito and one less sundae this week would reduce total utility. (ii) More sundaes and one less burr

    		•
  • Q : Quintile distribution of income Give

    Give the answer of following question. In the quintile distribution of income, the term "quintile" represents: A) 5 percent of the income receivers. B) 10 percent of the income receivers. C) 20 percent of the income receivers. D) 25 percent of the income receivers.

    		•
  • Q : Effects of Globalization on Indian

    What do you mean by globalization and its effects on the Indian economy?

    		•
  • Q : Probable demand to be least price

    Of the given, the good for that demand is probable to be least price elastic is: (i) electricity used to light downtown streets. (ii) airline tickets in late December. (iii) Bic pens. (iv) chocolate milk. (v) Merit cigarettes.

    Q : Illustrations of transfer programs

    Illustrations of transfer programs do not comprises: (w) welfare payments. (x) food stamps. (y) aid for dependent children (AFDC). (z) corporate income taxes. Hello guys I want your advice. Please recommend some vi

    		•
  • Q : Example of Featherbedding Assume that

    Assume that no job vacancies exist for the taxidermists, which students lack any interest in taxidermy, and that taxidermy produces no externalities. When lobbyists persuaded college Boards of Trustees to need taxidermy courses and to establish Departments of Taxiderm

    		•
  • Q : Income and Substitution effects problem

    Economists decompose how the consumers react to a change in price of a good into the: (1) Diminishing marginal utility effect and indifference effect. (2) Indifference effect and enhancement effect. (3) Net utility effect and preference effect. (4) Income effect and s

    		•
  • Q : Fundamental Normative Economics The

    The fundamental economic question for that answers are most likely to be different greatly across the populace and be most heavily based upon value judgments is: (1) what goods will society produce? (2) how will resources be used to yield the goods so

    		•
  • Q : Pay annual income by perpetuities bonds

    When all bonds are perpetuities which pay annual income of $50, at an interest rate of 5% the price of bonds is: (w) $1,000. (x) $500. (y) $100. (z) $750. Can someone explain/help

    		•
  • Q : Pure monopoly firm operates in purely

    In spite of of whether a firm is a pure monopoly or operates within a purely competitive industry as: (i) this should expect total revenue to cover total variable costs or this will not operate. (ii) the demand curve this faces will be horizontal in t

    		•