--%>
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 : Wage Differentials-similar wages Can

    Can someone please help me in finding out the accurate answer from the following question. As compared to men with identical amounts of experience or education, women on an average earn: (1) Higher wages. (2) Similar wages. (3) Lower wages. (4) There is no special pat

    		•
  • Q : Price and quantity supply The

    The positively sloped supply curves exhibit relationships which: (1) Follow from law of demand. (2) Are positive between quantity supplied and price. (3) Are negative between price and the quantity sold. (4) Exist for services however not goods.

    		•
  • Q : Technology and human knowledge in

    The procedure in which the technology and human knowledge are employed to apply energy to convert materials to make the materials more precious is known as: (1) Social overhead. (2) Capitalism. (3) Production. (4) Construction. (5) Profit-seeking.

    Q : Monopsonistic-Wage Discrimination

    Whenever an organization’s wage structure reflects the keenness of individual staff to work, terms which are most applicable comprise: (p) Monopsonistic exploitation & wage discrimination. (q) Monopolistic exploitation and the separation of possession and co

    		•
  • Q : Competitive industry widespread

    When a competitive industry experiences widespread economic profits into the short run, in that case in the long run: (w) new firms will enter and prices will fall. (x) entry barriers will be erected. (y) resource costs must fall. (z) dominant firms b

    		•
  • Q : Problem on Complementary Goods From the

    From the viewpoints of auto makers, the weakening of OPEC oil cartel in the year 1990s resulted in a/an: (1) Rise in demand for cars. (2) Reduction in demand for cars. (3) Rise in the supply of cars. (4) Reduction in supply of cars.

    Q : Collective bargaining agreements Tell

    Tell me the answer of this question. Collective bargaining agreements cover: A) wages and hours. B) union status. C) seniority and job opportunities. D) all of the above.

    		•
  • Q : Output level at wholesale price on

    When the wholesale price per dozen roses is $4.50, the breakeven point for Rose Garden Wholesalers happens at an output level of about: (i) 2000 dozen roses. (ii) 2500 dozen roses. (iii) 3000 dozen roses. (iv) 3500 dozen roses. (v) 40

    		•
  • Q : Consequence of vigorous price

    Product differentiation is least probable to be a consequence of: (i) model year changes for carmakers. (ii) corporate logos. (iii) advertising. (iv) vigorous price competition. (v) showy packaging. Can someone exp

    		•
  • Q : Additionally productive work American

    American workers tend to be additionally productive than their counterparts within Asia since they have: (1) less capital to work along with. (2) more capital to work with. (3) lower marginal products. (4) been instilled along with a stronger work eth

    		•