When does a production function satisfy decreasing returns to scale?
Decreasing returns to scale (DRS) holds when a proportional increase in all the factors of production leads to an increase in the output by less than the proportion. For example, if both labour and capital are increased by ‘n’ times but the resultant increase in output is less than ‘n’ times, then we say that the production function exhibits
DRS.
F (nL, nK) < n. f (L, K)
What is the total product of input?
Let the production function of a firm be Q=5L1/2K1/2Q=5L1/2K1/2 Find out the maximum possible output that the firm can produce with 100 units of LL and 100 units of KK.
Why does the SMC curve cut the AVC curve at the minimum point of the AVC curve?
What do the long-run marginal cost and the average cost curves look like?
What does the average fixed cost curve look like? Why does it look so?
Explain the relationship between the marginal products and the total product of an input.
Why is the short-run marginal cost curve 'U'-shaped?
Explain the concept of a production function
What is the law of variable proportions?
What are the average fixed cost, average variable cost and average cost of a firm? How are they related?
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?
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?
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 |
- |
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?
What do you mean by the budget set of a consumer?
Explain through a diagram the effect of a rightward shift of both the demand and supply curves on equilibrium price and quantity.
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 |
- |
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?
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?
Suppose the demand and supply curve of commodity XX in a perfectly competitive market are given by:
qD =700 - p
qs = 500 + 3p for p ≥ 15
= 0 or 0 ≤ p <15
Assume that the market consists of identical firms. Identify the reason behind the market supply of commodity X being zero at any price less than Rs 15. What will be the equilibrium price for this commodity? At equilibrium, what quantity of X will be produced?