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 supply curve of a firm in the long run?
The market price of a good changes from Rs 5 to Rs 20. As a result, the quantity supplied by a firm increases by 15 units. The price elasticity of the firm’s supply curve is 0.5. Find the initial and final output levels of the firm.
A firm earns a revenue of Rs 50 when the market price of a good is Rs 10. The market price increases to Rs 15 and the firm now earns a revenue of Rs 150. What is the price elasticity of the firm’s supply curve?
Distinguish between a centrally planned economy and a market economy.
How does the imposition of a unit tax affect the supply curve of a firm?
A consumer wants to consume two goods. The prices of the two goods are Rs 4
and Rs 5 respectively. The consumer’s income is Rs 20.
(i) Write down the equation of the budget line.
(ii) How much of good 1 can the consumer consume if she spends her entire
income on that good?
(iii) How much of good 2 can she consume if she spends her entire income on
that good?
(iv) What is the slope of the budget line?
Questions 5, 6 and 7 are related to question 4.
What is the relation between market price and average revenue of a price-taking firm?
What is budget line?
Suppose there are 20 consumers for a good and they have identical demand functions:
d(p)=10–3pd(p)=10–3p for any price less than or equal to 103103 and d1(p)=0d1(p)=0 at any price greater than 103.
Suppose your friend is indifferent to the bundles (5, 6) and (6, 6). Are the preferences of your friend monotonic?
Suppose there are 20 consumers for a good and they have identical demand functions:
d(p)=10–3pd(p)=10–3p for any price less than or equal to 103103 and d1(p)=0d1(p)=0 at any price greater than 103.
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 |
- |
The following table gives the total product schedule of labour. Find the corresponding average product and marginal product schedules of labour.
What are the average fixed cost, average variable cost and average cost of a firm? How are they related?
Distinguish between a centrally planned economy and a market economy.
A consumer wants to consume two goods. The prices of the two goods are Rs 4
and Rs 5 respectively. The consumer’s income is Rs 20.
(i) Write down the equation of the budget line.
(ii) How much of good 1 can the consumer consume if she spends her entire
income on that good?
(iii) How much of good 2 can she consume if she spends her entire income on
that good?
(iv) What is the slope of the budget line?
Questions 5, 6 and 7 are related to question 4.
What do the long-run marginal cost and the average cost curves look like?
Can there be some fixed cost in the long run? If not, why?
What do you understand by positive economic analysis?
Why is the short-run marginal cost curve 'U'-shaped?