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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.

If the government imposes a price ceiling of Rs 31 on salt, what will be the volume of excess demand/ supply in the market?

Solution

✅ Correct Option: 1

Option 1 -> Price ceiling below equilibrium creates shortage where Qd > Qs.

Option 2 -> Excess supply occurs with price floor, not price ceiling.

Option 3 -> Incorrect calculation of the demand-supply gap at Rs 31.

Option 4 -> Excess supply contradicts price ceiling effects.


Hence, Excess demand of 68 units -> When a price ceiling of Rs 31 is imposed below the equilibrium price, quantity demanded exceeds quantity supplied at this price level. The difference between quantity demanded and quantity supplied at P = Rs 31 equals 68 units, creating a shortage in the market. This shortage occurs because at the artificially low price, consumers want to buy more than producers are willing to supply -> correct

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