--%>

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 : Substitution and elasticity of good The

    The price elasticity of demand is probable to be greater the: (1) more extensively the good is seems as a need. (2) better the obtainable alternatives for producers. (3) higher the opportunity costs of production. (4) larger the number of utilizes for

  • Q : Problem regarding goals of Labor Union

    I have a problem in economics on goals of Labor Union. Please help me in the following question. Trade unions are reasonably supposed to try to maximize merely: (1) Wage rate. (2) Level of employment. (3) Total wage costs paid by the employers. (4) No

  • Q : Purely competition on the average This

    This purely competitive brickyard as in below graph on the average experiences an: (w) economic profit of about $135 per day. (x) economic loss of roughly $150 per day. (y) accounting profit of less than $100 per day. (z) accounting loss of more than

  • Q : Characterization of markets Each and

    Each and every market is characterized by: (i) Widespread advertising, marketing, and sales promotions. (ii) Demands from each and every individual for all products. (iii) Potential buyers ready to pay and potential sellers ready to supply. (iv) Government licenses pr

  • Q : Multimarket Monopoly A monopolist

    A monopolist operates in two separated markets. The inverse demand functions ofthose markets are given by      and      where   arethe quantities supplied to these markets, respectively. The total cost function facedby the monopolist is &nbs

  • Q : Average variable costs of pure

    Average variable costs per generic brick of this pure competitor equal approximately: (i) $.02 (2 cents per brick). (ii) $.04 (4 cents per brick). (iii) $.07 (7 cents per brick). (iv) $.09 (9 cents per brick).

  • Q : Problem on Complementary Goods From the

    From the viewpoints of auto makers, the weakening of OPEC oil cartel in the year 1990s resulted in a/an: (1) Rise in demand for cars. (2) Reduction in demand for cars. (3) Rise in the supply of cars. (4) Reduction in supply of cars.

    Q : Limitation of economies capacity I have

    I have a problem in economics on Production Possibilities Frontiers. Please help me in determining the right answer from the following question. The economy’s capacity to generate/make is NOT limited by the: (i) Amount of resources accessible. (

  • Q : Output level of profit maximizing of

    The profit maximizing competitive firm in illustrated graph will: (i) produce output level q5. (ii) minimize total costs by producing output level q3. (iii) experience fixed costs equal to 0P3fq4. (iv) produce output level q4. (v) inevitably experienc

  • Q : Major disadvantage of operating a

    One of the main disadvantages of operating a corporation in relative to operating a sole partnership or proprietorship is that corporations tend to: (i) Offer just limited legal liability to their stockholders. (ii) Utilize specialized management pers