--%>

Problem on price elasticity and total revenue

A) Use the table below to draw graphs that show the relationship between price elasticity of demand and total revenue.

875_ques1.jpg

B) With  reference to the graphs drawn in 1.1 discuss the relationship between total  revenue and price elasticity of demand.

C) With the aid of a diagram explain what  will happen to the equilibrium  price and quantity  it there  is a simultaneous  decrease in demand and an increase in supply.

D) With the aid  a graph  explain  the effects of a reduction in the  prlce of DVD players on the demand of DVDs.

E

Expert

Verified

From the given table, the total revenue can be determined by multiplying the price with quantity. It is summarized as below.

946_total revenue1.jpg

Price elasticity of demand determines the responsiveness of demand to changes in price. As we know that when the percentage change in demand is greater than the percentage change in price, the demand is elastic and if otherwise, the demand is inelastic. The graph below shows the demand elasticity and revenue curves, wherein quantity is taken as the x-axis and price/total revenue is taken as the y-axis. 

905_revenue2.jpg

The relationship between price elasticity of demand and total revenue is very important. In the above table, let us consider the price elasticity of demand of a price change from $7 per unit to $6 per unit. The percentage change in demand is 100% following a 14.29% change in price thus resulting in an elasticity of demand of -7, which is highly elastic. Hence in such a case where the demand is price elastic, a fall in price levels results in higher total revenues. Now, if we consider the price change further down the demand curve from $2 per unit to $1 per unit, the percentage change in demand is 16.67% following a 50% fall in price resulting in a -0.333, which is inelastic. A fall in price when the demand is price inelastic results in a reduction of total revenue. Thus as price falls, the total revenue initially increases and later decreased and the maximum revenue of $16,000 is incurred at a price of $4 per unit when 4000 units are sold. Let us see the different impacts of the changes in the market on total revenues in the above case.

1095_revenue3.jpg

In the above graph, the equilibrium price, Po and quantity, Qo is $4 and 4000. A decrease in the number of buyers will cause a decrease in demand resulting in a leftward shift of the demand curve. Since there will be a surplus of quantity supplied, the situation will push down the price and when the price falls, the surplus is eliminated and the resulting equilibrium quantity decreases. Hence a decrease in demand will decrease the equilibrium price and quantity.

An increase in supply can be caused by advancement in technology. This shifts the supply curve to the right creating a production surplus, which will again push down the price. The lower price will get rid of the surplus and the equilibrium quantity increases. Hence an increase in supply results in a lower price but higher equilibrium quantity.

When both occur simultaneously, both the demand and supply curves shift as mentioned above. Since both the conditions lower the equilibrium price (buyers are ready to pay less and sellers charge less), the equilibrium price will fall to a greater extent. Demand shift leads to a smaller equilibrium quantity and supply shift leads to a larger equilibrium quantity. Hence without exact numbers, it is not possible to determine if the new equilibrium quantity is the same as before, but there are possibilities for it to remain constant. But in our example, equilibrium quantity remains constant and the equilibrium price alone decreases to $3 per unit, as shown below.

922_revenue4.jpg

However, the decrease in equilibrium quantity owing to demand decrease and the increase in equilibrium quantity owing to supply increase need not be equal thus resulting in the same equilibrium quantity. Hence when there is a simultaneous decrease in demand and an increase in supply, the equilibrium price reduces drastically and the equilibrium quantity may not be predicted.

As we know, a complementary good is one that is jointly consumed with another good. Hence there is an inverse relationship between a change in price for one good and the demand for the other complementary good. DVDs and DVD players are complementary. When there is an increased consumption of DVD players, there will be a greater demand for DVDs and vice versa. When there is a reduction in the price of DVD players, there will be an increased consumption of DVD players owing to increased demand, thus resulting in an increased demand for DVDs as well. Hence the demand curve shifts right since the new DVD player owners will buy additional DVDs to those who already own players and buy DVDs. Hence a reduction in the price of DVD players will increase the demand for DVDs shifting the demand curve to the right as shown below.

   Related Questions in Microeconomics

  • Q : Reform National Welfare Before the

    Before the national welfare reform of 1996s, where Aid to Families with Dependent Children [AFDC]: (w) was the principal government program intended to alleviate poverty. (x) was exempt from any form of taxation. (y) generated pressur

  • Q : Competition-Welfare Social problem The

    The purely competitive firm in the output market which hires from a purely competitive labor market will employ the labor at the point where VMP = W as the firm: (p) Operates in society's best interest. (q) Wants to be quite fair to workers. (r) Is egalitarian institu

  • Q : Existence of elasticity from zero to

    Each negatively sloped linear demand curve consists of: (1) variable slope. (2) price elasticity coefficients which increase when the price falls. (3) price elasticity which range from zero to infinity. (4) a price elasticity of one at whole points. (5) an inelastic region above

  • Q : Production utilizing knowledge or

    I have a problem in economics on Production utilizing knowledge or technology. Please help me in the following question. Production necessitates utilizing knowledge or technology to apply energy to rise the: (i) Amount of resources accessible. (ii) In

  • Q : Calculating Economic and Accounting

    Can someone help me in finding out the right answer from the given options. Net sales revenue of the Rusty Key Corporation for the year 2005 is $190,000. The net explicit costs incurred were $70,000, and net implicit costs were $65,000. The accounting profit is ____ a

  • Q : Twin problems of the U.S. health care

    Give the answer of following question. The twin problems of the U.S. health care industry are: A) rapidly rising costs and unequal access to health care. B) declining quality of health care and the duplication of specialized equipment at hospitals. C) declining per ca

  • Q : Workers volunteered to work in purely

    Even though workers volunteered to work as "for free", such purely competitive firm would never hire more than: (i) L2 workers. (ii) L3 workers. (iii) L4 workers. (iv) L5 workers. (v) L6 workers.<

  • Q : Tourist’s use of natural resources What

    What are your views about tourist’s use of natural resources?

  • Q : Dilemma on labor monopsonist The labor

    The labor monopsonist will hire labor up to the point where the marginal: (i) Revenue product of the labor equivalents the wage. (ii) Resource cost of labor equivalents the salary. (iii) Revenue product of labor equivalents its marginal resource cost. (iv) Resource co

  • Q : Drop in interest rates of capital market

    Any drop in interest rates caused through people’s increased willingness to save, which will cause: (w) the rate of return schedule reflected in I0 to shift to the right. (x) the rate of return schedule reflected within I0 to shift to the left.