A producer supplies 80 units of a good at a price of Rs 10 per unit. Price elasticity of supply is 4. How much will he supply at Rs 9 per unit?
Q0 = 80 units
P0 = Rs. 10
Es = 4
P1 = Rs. 9
ΔP = P1- P0
ΔP = 9 – 10 = -1
ΔQ = Q1 – Q0
ΔQ = Q1 – 80
We know that,
ES = (ΔQ ∕ ΔP) × (P0 ∕ Q0)
4 = (Q1 – 80 ∕ -1) × 10 ∕ 80
4 = Q1 – 80 ∕ -8
-32 = Q1 – 80
Therefore,
Q1 = 48 units
Therefore, 48 units of a good are supplied by a producer at Rs 9 per unit.
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