--%>

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 : Price elasticity of demand Elucidate

    Elucidate any four factors which affect the price elasticity of demand.

  • Q : Determinants of Demand-Change in price

    Can someone help me in finding out the right answer from the given options. Demand curve for the DVD players would not be shifted by the change in price of: (1) Downloaded music. (2) CD players. (3) Compact disks. (4) DVD players.

  • Q : Formula for economic profit Can someone

    Can someone please help me in finding out the precise answer from the following question. The firm’s total revenue minus its net economic costs equivalents its: (1) Economic profit. (2) Taxable income. (3) Marginal income. (4) Accounting profit. (5) Psychic inco

  • Q : Marginal Resource Costs The word

    The word ‘marginal resource costs’ or ‘marginal factor costs’ signifies to the: (1) Additional cost included in generating an additional resource. (2) Additional cost included in generating an additional unit of the resource. (3) Additional cos

  • Q : Concept of pure rent in economics Pure

    Pure economic profit is most closely associated to the concept of: (1) exploitation of labor. (2) opportunity cost. (3) pure rent. (4) pure oligopoly. (5) capitalization. I need a good answer on the topic of

  • Q : Concept of Production Possibilities

    The Production possibilities frontiers describe the concepts of: (1) A trade-off between inflation and unemployment. (2) Positive economics versus the normative economics. (3) Scarcity, opportunity costs, and reducing returns. (4) Absolute advantages

  • Q : Distribution of middle relative income

    From roughly 1975 year, the proportion of the U.S. population into the Bureau of the Census category that is “middle relative income” where the “middle class’ has: (1) grown since many former u

  • Q : Pretax -posttax and transfer

    Refer to the following diagram. If line b represents the pretax and transfer distribution of income in the United States, we would expect the post-tax and transfer distribution to be: A) line a. B) line b, because taxes and transfers have no effect on income distribut

  • Q : Find price elasticity of demand for

    Suppose yearly steel sales double to 80 million tons while the price falls $40 per ton, to $180 per ton. Therefore price elasticity of demand for steel is approximately: (w) 3.333. (x) 10.000. (y) 2.500. (z) 6.667.

    Q : Competition in Labor Markets The

    The horizontal labor supply curve signifies that: (i) The supply of labor is perfectly inelastic. (ii) The firm can hire as much labor as it requires at going wage rate. (iii) Labor and capital are in the fixed supply. (iv) Marginal physical product of the labor is co