--%>

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 : Short-run and long-run average total

    A firm generating where MC = SRAC = LRAC operates at the minimum point of its: (w) short-run and long-run average total cost curves. (x) long-run total cost curve. (y) total physical product of labor curve. (z) maximum profit curve.

    Q : What is APS What is APS? APS = S/Y. It

    What is APS? APS = S/Y.It is the ratio of income to saving which is termed as APS.

  • Q : Firms sanctioned by state laws I have a

    I have a problem in economics on Firms sanctioned by state laws. Please help me in the following question. The Firms sanctioned by state laws and considered lawful entities separate and dissimilar from their owners are: (1) Proprietorships. (2) Corpor

  • Q : Maximize profit by marginal revenue and

    Prohibition Corporation’s very famous St. Valentine’s Day software is going within version 6. The very first point Prohibition requires to classify in its quest to maximize profit is the: (1) point e. (2) point f. (3) point g. (4) point h.

  • Q : Problem on Paradox of Value I have a

    I have a problem in economics on Problem on Paradox of Value. Please help me in the following question. Since diamonds are much expensive as relative to water, the: (i) Fundamental needs of people don’t comprise water. (ii) Consumer surplus from consuming the di

  • Q : Long-run competitive pressures in

    When economic losses are widespread within a purely competitive industry, in that case long-run competitive pressures tend to cause: (i) accelerating economic losses. (ii) prices to fall while firms leave the industry. (iii) productio

  • Q : Comparison between supply curves

    Comparing supply curves S2 and S3, supply is: (w) more price elastic along S2 than along S3. (x) more price elastic along S3 than S2. (y) equally elastic along both when they have simil

  • Q : NO profit-maximizing firm in long run

    In the long run no profit-maximizing firm would produce yet a level of output at that: (w) marginal revenue is below the price charged consumers. (x) demand is relatively price inelastic. (y) total revenue would exceed total variable costs but not tot

  • Q : Entry of new firm in monopolistic

    Entry of new firms within a monopolistically competitive market: (1) is preventable. (2) may decrease the established firm’s production costs. (3) increases the established firm’s profits. (4) shrinks demand for a successful firm’s p

  • Q : Entry and exit of purely competitive

    Pure competition is described by freedom of entry and exit by firms which are: (i) price discriminators and quality adjusters. (ii) price takers and quantity adjusters. (iii) owned and operated by entrepreneurs. (iv) arbitrators and p