--%>

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-price falls

    The quantity dinner salads demanded is 100 everyday while Café Les Gourmands charges a price of $1.80, although when price drops by $1, quantity demanded is one hundred fifty. The price elasticity of demand for dinner salads at such restaurant

  • Q : Kinked demand curve of an oligopoly

    The kinked demand curve of an oligopoly model supposes: (w) price increases will be followed. (x) price increases will be matched. (y) price declines will be matched. (z) any price changes will be matched.

    Q : Ownership shares in corporation I have

    I have a problem in economics on Ownership shares in corporation. Please help me in the following question. The Ownership shares in a corporation are termed as: (1) Bonds. (2) Entrepreneurial capital. (3) Common stock. (4) Total worth. (5) Retained equity.

  • Q : Effect of decreases price ceiling on a

    A government decrease of the price ceiling upon a good will: (w) result in a decrease into the excess demand for the good. (x) result within an increase in the excess demand for the good. (y) lead to a greater quantity supplied. (z) cause a reduction

  • Q : When market for a good is in equilibrium

    Whenever the market for the good is in equilibrium, this signifies that the: (i) Demand and supply are equivalent. (ii) Tax wedge is perfectly offset by the government advantages. (iii) Differences among demand prices and supply prices equivalent profit per unit. (iv)

  • Q : Unitarily elasticity and profit

    When all costs are fixed in the short run, a monopolist maximizes profit through producing and selling the output level where: (1) demand is price elastic. (2) marginal revenue most greatly exceeds marginal cost. (3) demand is price inelastic. (4) mar

  • Q : Problem on Competition and Social

    Can someone please help me in finding out the accurate answer from the following question. The purely competitive organization in the output market which hires from a purely competitive labor market will utilize labor at the point where VMP = W since the firm: (i) Fun

  • Q : Selling product below cost by predatory

    Nintendo Co. of Japan has been accused of discarding its products (as selling below cost) upon the U.S. market that harms U.S. producers. When true, it is an illustration of: (w) excessive international competition. (x) protectionism. (y) aggressive advertising. (z) p

  • Q : Relationship between MPP and APP If MPP

    If MPP equivalent to APP, what will you state regarding APP? Answer: APP is at its maximum and steady or constant.

  • Q : Consumption of goods changes as income

    This below figure demonstrates how consumption of goods A, B, C and D changes as a family’s income changes. When income increases, the income elasticity of demand is positive although declining for: (w) good A. (x) good B