--%>
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 : Annual payments of financial investment

    When the interest rate is 5 percent and a financial investment produces annual payments of $50,000, in that case the present value of this asset is as: (w) $1,000,000. (x) $5,000,000. (y) $500,000. (z) $10,000,000.

    		•
  • Q : Natural monopolies closely regulated by

    Inside the United States, public utilities like natural gas lines or electric companies are frequently: (w) quite competitive while they vie for the consumer's dollars. (x) natural monopolies which are closely regulated by government. (y) seldom closely regulated thro

    		•
  • Q : Commercial introduction of production

    Innovation: (w) entails financial investment to create human capital. (x) comprises the commercial introduction of a new product or production process. (y) can reasonably describe only normal accounting profit. (z) was used by John Maynard Keynes to d

    		•
  • Q : Problem regarding to price ceilings and

    Persistent shortages of a good are mostly all the time attributable to: (w) legal ceiling prices that are set below equilibrium. (x) recessions that yield high unemployment rates. (y) price gouging by firms with monopoly power. (z) legal price floors

    		•
  • Q : Price discriminate A monopolist selling

    A monopolist selling several di erent products can sometimes "price discriminate" by bundling her products together. Here's an example. Suppose the U of C is planning to o er a series of two concerts. The rst program in the series consists of music by Chopin; the second, music by Stravinsky

    		•
  • Q : Equilibrium interest rates on financial

    Equilibrium interest rates on different financial securities tend to be negatively associated to: (1) the time remaining until an asset matures. (2) default, exchange rate, and interest rate riskiness of an asset. (3) liquidity. (4) savers’ time

    		•
  • Q : Labor-Leisure Tradeoffs features When

    When the real wage increases, an extra unit of: (1) Labor supplied will purchase fewer goods. (2) Leisure is more costly. (3) Output needs more labor time. (4) Capital becomes more highly employed. Find out the right answer from th

    		•
  • Q : Break-even level of income under

    For a family of four the break-even level of income under the negative income tax system demonstrated in this figure is: (1) $15,000 per year. (2) $30,000 per year. (3) $45,000 per year. (4) $60,000 per year. (5) $75,000 per year.

    		•
  • Q : Classification of firms Can someone

    Can someone please help me in finding out the precise answer from the following question. The summation of all the firms which produce a given product is categorized as: (1) Multinational. (2) An industry. (3) Cartel. (4) Monopoly. (5) Plant.

    		•
  • Q : Features of Indifference Curve Describe

    Describe the features of Indifference Curve? Answer: A) Indifference curves slopes downward from left to right.B) Indifference curves are Convex to origin. C) Two Indifference curve not at all intersect

    		•