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Suppose there is a market consisting of identical firms producing the same quality of salt.

Suppose the market demand curve and the market supply curve for salt are given by:

QD={350−pfor 0≤p≤3500for p>350Q_D = \begin{cases} 350 - p & \text{for } 0 \leq p \leq 350 \\ 0 & \text{for } p > 350 \end{cases}

QS={220+pfor p≥100for 0≤p<10Q_S = \begin{cases} 220 + p & \text{for } p \geq 10 \\ 0 & \text{for } 0 \leq p < 10 \end{cases}

Where QDQ_D and QSQ_S denote the demand for and supply of salt (in kg) respectively and pp denotes the price of salt per kg in rupees.

Find the equilibrium price of salt in this market.

Solution

✅ Correct Option: 4

At equilibrium, QD=QSQ_D = Q_S.

350−p=220+p350 - p = 220 + p

350−220=2p350 - 220 = 2p

130=2p130 = 2p

p=65p = 65


Since p=65p = 65 satisfies both conditions (0≤65≤3500 \leq 65 \leq 350 and 65≥1065 \geq 10), this is valid.

The equilibrium price of salt is Rs 65.

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