--%>
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 : Reallocation of resources-Government

    Describe the Reallocation of resources objective of the government budget.

    		•
  • Q : Total costs incur by 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 incur total costs of around: (w) $20 per hour. (x) $27

    		•
  • Q : Relative value of additional unit of a

    In equilibrium, the relative value of an additional unit of a good to a specified consumer is approximately proportional to the: (w) marginal revenue to the firm that sold the good. (x) marginal production cost of the good. (y) relative market price of the good. (z) a

    		•
  • Q : Mixed economic resolves essential

    Why do some people think that a mixed economic system resolves essential economic problems?

    		•
  • Q : Capital receipts Why borrowing is

    Why borrowing is treated as capital receipts? Answer: Because it rises the liability of government.

    		•
  • Q : Levels of the Poverty Line In 2005

    In 2005 year, the proportion of people along with family incomes below the official poverty line into the United States was around: (w) one in eight. (x) one in ten. (y) two in twenty five. (z) one in twenty.

    Q : Trends in Poverty Into the United

    Into the United States during 2000 and 2005, the: (w) number of families below the poverty line declined. (x) distribution of after-tax income became significantly more equal. (y) percentage of families below the poverty line grew. (z) share of wealth possessed by the

    		•
  • Q : Goods and service problem The market

    The market system's answer to the fundamental question "Who will get the goods and services?" is essentially: 1) "Those willing and able to pay for them." 2) "Those who physically produced them." 3) "Those who most need them." 4) "Those who get utility from them."

    		•
  • Q : Business strategies in market Assume

    Assume that technological advances considerably lower costs for Honda. Hence which of the given statements is true: (w) when Honda lowers prices, rivals will rightfully accuse the firm of predatory pricing (x) when Honda raises prices, rivals will rightfully accuse th

    		•
  • Q : Good theory It is frequently said that

    It is frequently said that a good theory is one which can in principle be refuted by an empirical, data-oriented study. Describe why a theory which cannot be evaluated empirically is not a good theory.In evaluating theory there are two steps: f

    		•