--%>
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 : Calculating accounting profits The firm

    The firm has $70,000 in implicit costs, and the economic profit of $40,000. This firm’s: (i) Explicit cost equivalent $30,000. (ii) Accounting profits equivalent $110,000. (iii) Normal gain equivalents $40,000. (iv) Explicit costs equivalent $110,000.

  • Q : Effect of higher price for normal good

    Let consider the law of demand. The idea that the higher price for a normal good will outcome in less of good being purchased never based logically on the: (1) Income effect, by which the higher price decreases the purchasing power of the income. (2) Demand for good f

    		•
  • Q : Total consumer surplus received Assume

    Assume that you gain $36 worth of pleasure from first hole of the golf played on any specific day since you are an avid golfer, however the extra pleasure you profit from playing succeeding holes drops by $2 per additional hole. The $40 greens fee is needed to begin o

    		•
  • Q : Middle relative income define by Census

    The Department of the Census defines middle relative income as experienced while a family: (w) has adequate income to buy the fundamental food clothing and shelter required for survival. (x) would like to enhance their personal welfar

    		•
  • Q : Illustration of Inferior Goods I have a

    I have a problem in economics on Illustration of Inferior Goods. Please help me in the following question. When the amount of a good your family purchases raises as your family income reduce, then the good is a/an: (i) Durable goods. (ii) Inferior goo

    		•
  • Q : Depicts shift of the budget line The

    The shift of the budget line from cd to ab in the below  given figure is consistent with: 1) decreases in the prices of both M and N . 2) an increase in the price of M and a decrease in the price of N . 3) a decrease in money income. 4) an increase in money inc

    		•
  • Q : Demand in Dynamics The raise in the

    The raise in the supply of potatoes is probable to decrease the: (i) Supply of potato harvesters. (ii) Demand for pasta and rice. (iii) Price of Big Macs. (iv) Quantity of ketchup people put on hot-dogs. (e) Budgets of most house-holds.

  • Q : Problem of what to produce Describe the

    Describe the problem of What to produce?

    		•
  • Q : Marginal and average revenue-market form

    In which market form is the marginal and average revenue of a firm always equivalent? Answer: Average and marginal revenue of a firm are for all time equivalents beneath perfect competition.

    		•
  • Q : Conscious Interdependence in

    When firms or individuals attempt to personal gains or maximize profits or to minimize losses by trying to predict how other firms or individuals are probable to reaction, decisionmaking involves: (i) parallelism of action. (ii) profit maximization. (

    		•