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.
d1(p) = 20 – p for any price less than or equal to 20, and d1(p) = 0 at any price greater than 20.
For Price ≤ 20
Market Demand = 2 (20 – p)
= 40 – 2p
For Price > 20
Market Demand = 2 (0)
= 0
Therefore, market demand function is
40 – 2p if Price ≤ 20
0 if Price > 20
d2(p) = 30 – 2p for any price less than or equal to 15 and d1(p) = 0 at any price greater than 15.
For Price ≤ 15
Market Demand = 2 (30 – 2p)
= 60 – 4p
For Price > 15
Market Demand = 2 (0)
= 0
Therefore, market demand function is
60 – 4p if Price ≤ 15
0 if Price > 15