--%>
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 : History of Labor Union problem Can

    Can someone help me in finding out the right answer from the given options. Working time gone in strikes as the percent of net working time in the United States since from the end of World War II has: (1) Rose to around 20 percent. (2) Reduced to a bit over 6 percent.

    		•
  • Q : Price taking and price making The price

    The price makers within a purely competitive market are: (i) auctioneers (ii) buyers. (iii) sellers. (iv) both buyers and sellers. (v) nobody. I need a good answer on the topic of Economics problem

    		•
  • Q : Total revenue when a price increases

    For hamburgers the demand is relatively elastic. When the price of hamburgers increases, in that case: (i) the quantity demanded will go up. (ii) its demand will increase. (iii) total revenue will increase. (iv) total revenue will reduce.

  • Q : Natural barrier to entry in monopolizes

    The Diamante Corporation is vast and owns the world’s merely red diamond mine. Thus diamante monopolizes the market for red diamonds, and this is protected by competition by a: (1) regulatory barrier to entry. (2) strategic barrier to entry. (3) natural barrier

    		•
  • Q : Charging price of profit-maximizing

    Hybrid Roses is the merely florist in 60 miles of Presidio, Texas. When total fixed costs (for example, rent and utilities) are $9 per hour, that profit-maximizing monopolist will charge a price of: (1) $10 per dozen roses. (2) $12 pe

    		•
  • Q : Controlling political processes to

    Can someone please help me in finding out the precise answer from the following question. John Kenneth Galbraith states that the big corporations: (i) Affects economic activity merely trivially. (ii) Have rigorously curbed the market competition. (iii) Employ resource

    		•
  • Q : Typical pure competitor firm in industry

    When this firm is a typical pure competitor within this industry as in demonstrated figure, then the firm is: (i) making normal accounting profit. (ii) making zero economic profit. (iii) breaking even. (iv) into an industry within long run equilibrium

    		•
  • Q : Problem on market boundaries The

    The market’s boundaries are stated by: (i) Legislation. (ii) The number of sellers and buyers in the market. (iii) The ease of trading among sellers and buyers. (iv) Geographical borders. Choose the right ans

    		•
  • Q : Market shifting in equilibrium When

    When market begins in equilibrium at point e upon S0D0 and in that case young American families increasingly "inherit" furniture like their baby-boomer parents move within smaller retirement homes, that market will tend to shift in the direction

    		•
  • Q : Find absolute value of the price

    Two thousand four hundred students subscribed to cable TV services while they enrolled like freshmen. 800 of them students dropped the service while the price of cable rose by $25 to $35 per month. The absolute value of the price elasticity of demand

    		•