Suppose there are two consumers in the market for a good and their demand functions are as follows:

d1(p) = 20 – p for any price less than or equal to 20, and d1(p) = 0 at any price greater than 20.

d2(p) = 30 – 2p for any price less than or equal to 15 and d1(p) = 0 at any price greater than 15.

Find out the market demand function.

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?

Can there be some fixed cost in the long run? If not, why?

What do you understand by positive economic analysis?

If the price of a substitute Y of good X increases, what impact does it have on the equilibrium price and quantity of good X?

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.

Explain price elasticity of demand.

How does the budget line change if the consumer’s income increases to Rs 40 but the prices remain unchanged?

How will a change in the price of coffee affect the equilibrium price of tea? Explain the effect on equilibrium quantity also through a diagram. 

What do the long-run marginal cost and the average cost curves look like? 

What is the average product of an input? 

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?