--%>
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 : Purpose of shortages of price in price

    Price ceilings tend to purpose of: (a) opportunity costs to decline. (b) monetary prices to rise legally. (c) shortages of price controlled goods. (d) black markets to disappear. (e) surpluses of goods at inflated prices.

    Q : Present value of bond paying on

    At an interest rate of 5 percent per year the present value of a bond paying $100 yearly forever is: (a) infinite. (b) $500. (c) $909.10. (d) $2000. I need a good answer on the topic of Economics problems. Please give me your sugge

    		•
  • Q : Completely controls output of a product

    Through the strict economic description that a monopoly is: (i) necessarily a very large firm. (ii) one of a few large firms that dominate a market. (iii) a lone firm which completely controls the output of a product along  with no close substitu

    		•
  • 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 : Loss in social welfare with quantity

    When pharmaceutical manufacturers conspire to generate only Q1 penicillin, in that case the: (i) purely-competitive firms which produced penicillin would experience economic losses. (ii) resulting excessive antibiotic treatments would produce strains of dru

    		•
  • Q : Disadvantage of sole proprietorships

    The disadvantage of both sole partnerships and proprietorships is that the: (i) Financial resources are generally more restricted than for a corporation. (ii) Income is subject to the double taxation. (iii) Principal-agent troubles are far less simple

    		•
  • Q : Define price floor Price floor : Price

    Price floor: Price floor refers to the lowest amount price fixed by the government over the market determined price and hence the producers of the necessary items such as wheat, rice and so on might not experience losses.

    		•
  • Q : Types of good An increase in the income

    An increase in the income of consumer X leads to a fall/down in the demand for that good by the consumer. What is good X termed? Answer: Normal good

    		•
  • Q : Llustration of the problem of Moral

    Can someone please help me in finding out the accurate answer from the following question. Failing to lock your door whenever you go out since you have theft insurance is an illustration of the trouble of: (1) Indifference. (2) Apathy. (3) Moral hazard. (4) Market pow

    		•
  • Q : Define Indirect taxes Indirect taxes :

    Indirect taxes: Whenever the liability to pay tax is on one person and the burden of that tax falls on another person, it is termed as indirect tax. Illustrations are: sales tax, excise duty, VAT, tax on services and so on.

    		•