--%>

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 : Problem relating to Moral Hazard When

    When insurance companies pay back insured individuals for all the medical bills they submit: (1) Hypochondria will tend to be cured very rapidly. (2) People would tend to frequent the doctor's office more frequently. (3) An immoral choice problem would foster underuti

  • Q : Pepsi and Coke market Some of the

    Some of the consumers strongly prefer Pepsi and some strongly prefer Coke. Thus there is no single market for colas. This statement is true or false ? Explain.This statement is false. Although some people have strong preferences for a specific

  • Q : Bilateral Monopoly problem The

    The bilateral monopoly is in operation when: (i) Firm is the only employer of the certain labor force and a union is just the supplier of the labor for that organization. (ii) The firm is the mere producer of the two complementary goods. (iii) The monopolist sells a g

  • Q : Implicit Costs-Earning income The

    The economic cost borne by you as the college student which would be ignored by the bookkeeper whenever computing costs however that economists would consider the implicit cost of your education would be: (1) Food, similar costs and rent which you would incur even whe

  • Q : Short run operation and long run

    When Presidio, Hybrid Roses and Texas boomed learned which its rent and utilities had soared upward by $9 per hour hence a new five-year lease would now cost $60 per hour, therefore this monopolist will: (w) continue to realize positive economic profi

  • Q : Present value of asset by financial

    When the interest rate is 5% and a financial investment produces annual payments of price $50,000, in that case the present value of this asset is: (w) $1,000,000. (x) $5,000,000. (y) $500,000. (z) $10,000,000.

    Q : Long-run supply curve of a purely

    Long-run supply curve of a purely competitive industry has a slope which is: (w) negative to offset the positive slope of each firm’s short-run supply. (x) positive to reflect the positive slope of each firm’s short-run supply. (y) depende

  • Q : Characteristics of purely competitive

    Characteristics of purely competitive markets do not comprise: (w) homogeneous products. (x) large numbers of potential buyers. (y) large numbers of potential sellers. (z) the capability of sellers to set prices. I

  • Q : Synonym for the instant period or run

    A synonym for the instant period (or instant run) of production is the: (w) short run. (x) long run. (y) technological long run. (z) market period. Hello guys I want your advice. Please recommend some views for above Econom

  • Q : Law of Supply Law of Supply : Supply

    Law of Supply: Supply means the goods provided for sale at a price throughout a particular period of time. This is the capacity and intention of the producers to gen