Explain the concept of a production function
The production function of a firm depicts the relationship between the inputs used in the production process and the final output. It specifies how many units of different inputs are needed in order to produce the maximum possible output. Production function is written as:
Qx = f ( L,K )
Where, Qx represents units of output x produced.
L represents units of labour employed.
K represents units of capital employed.
The above equation explains that Qx units of output x are produced by employing L and K units of labour and capital respectively and by a given technology. As the given level of technology appreciates, the output will increase with the same level of capital and labour units.
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?
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.
When does a production function satisfy increasing returns to scale?
When does a production function satisfy decreasing returns to scale?
When does a production function satisfy constant returns to scale?
Suppose a consumer’s preferences are monotonic. What can you say about her preference ranking over the bundles (10, 10), (10, 9) and (9, 9)?
What do you mean by the production possibilities of an economy?
What is the total product of input?
What are the average fixed cost, average variable cost and average cost of a firm? How are they related?
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?
Consider the demand curve D (p) = 10 – 3p. What is the elasticity at price 53?