From the schedule provided below calculate the total revenue, demand curve and the price elasticity of demand:
Quantity |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
Marginal Revenue |
10 |
6 |
2 |
2 |
2 |
0 |
0 |
0 |
- |
Quantity |
MR |
TR |
AR=TR/Q |
Price elasticity of demand |
1 |
10 |
10 |
10/1 = 10 |
- |
2 |
6 |
10 + 6 = 16 |
16/2 = 8 |
½ * 10/1 = 5 |
3 |
2 |
16 + 2 = 18 |
18/3 = 6 |
½ * 8/2 = 2 |
4 |
2 |
18 + 2 = 20 |
20/4 = 5 |
1/1 * 6/3 = 2 |
5 |
2 |
20 + 2 = 22 |
22/5 = 4.4 |
1/0.5 * 5/4 = 2.5 |
6 |
0 |
22 + 0 = 22 |
22/6 = 3.6 |
1/0.9 * 4.5/5 = 1 |
7 |
0 |
22 + 0 = 22 |
22/7 = 3.1 |
1/0.5 * 3.6/6 = 1.2 |
8 |
0 |
22 + 0 =22 |
22/8 = 2.7 |
1/0.4 * 3.1/7 = 11 |
9 |
-5 |
22 + (-5) = 17 |
17/9 = 1.9 |
1/0.8 * 2.7/9 = 0.38 |
Demand Curve: To determine the demand curve, we must first determine the pricing for each unit of quantity. This can be accomplished by multiplying the total revenue values by the quantity. The following are the price ranges:
Quantity |
Marginal revenue |
Total revenue |
Price |
1 |
10 |
10 |
10 |
2 |
6 |
16 |
8 |
3 |
2 |
18 |
6 |
4 |
2 |
20 |
5 |
5 |
2 |
22 |
4.4 |
6 |
2 |
22 |
4.4 |
7 |
0 |
22 |
3.66 |
8 |
0 |
22 |
3.14 |
9 |
0 |
22 |
2.75 |
10 |
-5 |
17 |
1.88 |
List the three different ways in which oligopoly firms may have.
Will the monopolist firm continue to produce in the short run if a loss is incurred at the best short run level of output?
A monopoly firm has a total fixed cost of Rs 100 and has the following demand schedule:
Quantity |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
Marginal Revenue |
100 |
90 |
80 |
70 |
60 |
50 |
40 |
30 |
20 |
10 |
Find the short run equilibrium quantity, price and total profit. What would be the equilibrium in the long run? In case the total cost is Rs.1000, describe the equilibrium in the short run and in the long run.
Comment on the shape of MR curve in case when TR curve is a
(a) Positively sloped straight line
(b) Horizontal straight line
If duo poly behavior is one that is described by Cornet, the market demand curve is given by the equation q = 200 - 4p and both the firms have zero costs, find the quantity supplied by each firm in equilibrium and the equilibrium market price.
What is meant by prices being rigid? How can oligopoly behavior lead to such an outcome?
What would be the shape of the demand curve so that the total revenue curve is?
(a) A positively sloped straight line passing through the origin?
(b) A horizontal line?
The market demand curve for a commodity and the total cost for a monopoly firm producing the commodity are given in the schedules below.
Quantity |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
Price |
52 |
44 |
37 |
31 |
26 |
22 |
19 |
16 |
13 |
Quantity |
0 |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
Price |
10 |
60 |
90 |
100 |
102 |
105 |
109 |
115 |
125 |
Use the information given to calculate the following:
(a) The MIR and MC schedules
(b) The quantities for which MIR and MC are equal
(c) The equilibrium quantity of output and the equilibrium price of the commodity
(d) The total revenue, total cost and total profit in the equilibrium
If the monopolist firm of Exercise 3 was a public sector firm. The government set a rule for its manager to accept the government fixed price as given (i.e. to be a price taker and therefore behave as a firm in a perfectly competitive market). And the government has decided to set the price so that demand and supply in the market are equal. What would be the equilibrium price, quantity and profit in this case?
Explain why the demand curve facing a firm under monopolistic competition is negatively sloped.
Explain the concept of a production function
Explain market equilibrium.
Discuss the central problems of an economy.
What are the characteristics of a perfectly competitive market?
What do you mean by the budget set of a consumer?
What is the total product of input?
When do we say that there is an excess demand for a commodity in the market?
What do you mean by the production possibilities of an economy?
How are the total revenue of a firm, market price, and the quantity sold by the firm related to each other?
What is budget line?
Find out the maximum possible output for a firm with zero units of L and 10 units of K when its production function is Q = 5L = 2K.
Let the production function of a firm be Q=2 L2 K2Q=2 L2 K2
Find out the maximum possible output that the firm can produce with 5 units of LL and 2 units of KK. What is the maximum possible output that the firm can produce with zero units of LL and 10 units of KK?
At the market price of Rs 10, a firm supplies 4 units of output. The market price increases to Rs 30. The price elasticity of the firm’s supply is 1.25. What quantity will the firm supply at the new price?
Suppose the market determined rent for apartments is too high for common people to afford. If the government comes forward to help those seeking apartments on rent by imposing control on rent, what impact will it have on the market for apartments?
Suppose the demand and supply curves of salt are given by:
(a) Find the equilibrium price and quantity.
(b) Now, suppose that the price of an input that used to produce salt has increased so, that the new supply curve is qs = 400 + 3p
How does the equilibrium price and quantity change? Does the change conform to your expectation?
(a) Suppose the government has imposed at ax of Rs 3 per unit of sale on salt. How does it affect the equilibrium rice quantity?
Suppose there was a 4 % decrease in the price of a good, and as a result, the expenditure on the good increased by 2 %. What can you say about the elasticity of demand?
The following table gives the marginal product schedule of labour. It is also given that the total product of labour is zero at zero level of employment. Calculate the total and average product schedules of labour.
Considering the same demand curve as in exercise 22, now let us understand for free entry and exit of the firms producing commodity X. Also assume the market consists of identical firms producing commodity X. Let the supply curve of a single firm be explained?
q*= 8+3p for p ≥ 20
= 0 for 0 ≤ p ≤ Rs 20
(a) What is the significance of p =20?
(b) At what price will the market for X be in equilibrium? State the reason for your answer.
(c) Calculate the equilibrium quantity and number of firms.
Suppose the price elasticity of demand for a good is – 0.2. How will the expenditure on the good be affected if there is a 10 % increase in the price of the good?
The following table gives the average product schedule of labour. Find the total product and marginal product schedules. It is given that the total product is zero at zero level of labour employment.