--%>

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 : Monopsonistic Exploitation problem In

    In equilibrium for the firm with power to adjust the salary it pays, then the rate of monopsonistic exploitation equivalents any difference among: (i) VMP and MFC. (ii) MRP and MFC. (iii) P and MC. (iv) MRP and w. (v) MR and w. Fin

  • Q : Problem on lower equilibrium price Can

    Can someone help me in finding out the right answer from the given options. In short run for a competitive market, a raise in the supply will generally: (1) Raise demand. (2) Not affect the equilibrium price. (3) Lower equilibrium price. (4) Increase equilibrium price

  • Q : Purely competitive market demand of

    When the income distribution is acceptable and no externalities survive, purely competitive market demand curves as: (w) also marginal social benefits curves. (x) inverted marginal social cost curves. (y) horizontal at the market pric

  • Q : Question on central planning "Under

    "Under central planning, some group ought to decide how to obtain the necessary inputs produced in the right amounts and delivered to the right places at the right time. It is a nearly impossible task without markets and profits." This quotation best identifies the:

  • Q : Demand for Complementary Goods Can

    Can someone help me in finding out the right answer from the given options. Reductions in the price of tea are most probable to raise the demands for: (i) Lemons, ice cubes and sugar. (ii) Cola, coffee and hot cocoa. (iii) Mint juleps, Daiquiris and moonshine. (iv) Va

  • Q : Positive economic profit and accounting

    Purely competitive equilibrium, in long-run firms normally experience positive accounting profit and economic profit which is: (w) also positive, but smaller. (x) zero. (y) negative, but barely that why. (z) either positive, zero, or negative.

  • Q : Competitive resource markets and low

    When resource markets are competitive and transaction costs are low, in that case landowners: (1) pass forward completely any land tax. (2) can drive up the rental rate of land by changing its supply. (3) bear the full burden of any t

  • Q : Types of assertions for normative

    Normative statements would contain assertions such that: (1) harsh prison terms and capital punishment reduce rates of violent crime. (2) on average, Americans are more prosperous while no single political party controls the presidency that the US Sen

  • Q : Structure conduct performance paradigm

    From about 1890 till 1970 year, the “structure-conduct-performance paradigm” dominated theories regarding how firms behave in various types of markets. The term here “performance” in this context refers to those things as: (i)

  • Q : Coefficient of cross-elasticity of

    When a price hike from $15 to $20 for DVD disks causes sales of DVD players to reduce from 100 to 50 units, in that case the coefficient of cross-elasticity of demand among these goods is approximately: (w) 1/10. (x)  10. (y)  7/3. (z)