--%>

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 : Impact of economy according to price

    If price ceiling or price floor were removed what is the impact on the economy?

  • Q : Specific market price The difference

    The difference among maximum amount which consumers would willingly pay for a particular quantity of a good and the amount they really pay at a specific market price is termed as: (i) Discount rate. (ii) Mark-up factor. (iii) Familial gains. (iv) Hous

  • Q : Monopolistic competitor in market When

    When this monopolistic competitor makes Q units: (1) P > MC. (2) MR = MC. (3) total revenue total cost is maximized. (4) MSB > MSC. (5) All of the above.

    Q : Profit-maximizing pure competitor in

    For a profit-maximizing pure competitor in the short-run equilibrium: (w) P = MC = MR. (x) MC = minimum AC. (y) MR > P. (z) only normal profits will be earned. Hey friends please give your opini

  • Q : Efficient purely competitive market in

    When there are no externalities, in that case a purely competitive market in equilibrium is efficient since: (w) P = AC = MC. (x) total revenue equals total cost [TR = TC]. (y) P = MSB = MSC = MC. (z) MSB = MSC = MR > P.

  • Q : Present Value of an Annual Income The

    The present value of an annual income stream which goes on forever equals the annual income as: (w) times infinity. (x) divided by the wage rate. (y) multiplied by the interest rate. (z) divided by the interest rate.

    Q : Cruise ship pollution-an economic

    This exercise inspects why ‘greywater’ dumped from cruise ships can be vision as an economic difficulty and the complexities of dealing with this.

  • Q : Total utility and marginal utility Can

    Can someone please help me in finding out the accurate answer from the following question. The paradox of the value (also termed as the diamond-water paradox) occurs from: (1) High transaction costs. (2) Low transaction costs. (3) Failures to differentiate among the m

  • Q : Maximizes profit at total economic of

    When the wholesale price P = $8 per bushel of peaches, it purely competitive peach orchard maximizes profit via producing ___ bushel of peaches at a total economic of profit or loss of $___. (i) zero; loss; -$4,000. (

  • Q : Making error of omission Numerous big

    Numerous big publishing companies refused to publish a horror novel since the author was nameless. The author ultimately found a small publishing house to publish his book. The book sold millions of copies and produced hundreds of thousands of dollars in total revenue