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

d 1(p) = 20 − p for any price less than or equal to 20 and d 1(p) = 0 at any price greater than 20.

d 2(p) = 30 − 2p for any price less than or equal to 15 and d 1(p) = 0 at any price greater than 15.

Find out the market demand function.

For price less than Rs 15 (p 15)

Market demand for a good = d1 (p) + d2 (p)

= 20 − p + 30 − 2p

= 50 − 3p

For price more than Rs 15 but less than Rs 20 (15 <p 20)

Market demand = d1(p) + d2 (p)

= 20 − p + 0 ( for p > 15, d2 (p) = 0)

= 20 − p

For price more than Rs 20 (p > 20)

Market demand = d1(p) + d2 (p)

= 0 + 0 ( for p > 10, d1 (p) = 0, d2 (p) = 0)

= 0

Thus, market demand

= 50 − 3p if p ≤ 15

=20 − p if 15 < p ≤ 20

= 0 if p > 20

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