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Exercises · Q27

Q.At the market price of Rs 10, a firm supplies 4 units of output. The market price increases to Rs 30. The price elasticity of the firm's supply is 1.25. What quantity will the firm supply at the new price?

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Using es=%ΔQs%ΔPe_s = \dfrac{\%\Delta Q_s}{\%\Delta P} with es=1.25e_s = 1.25 and price rising from Rs 10 to Rs 30, the firm supplies 14 units at the new price.

Price elasticity of supply measures how responsive the quantity supplied is to a change in price — the percentage change in quantity supplied divided by the percentage change in price. Knowing the elasticity and the price change, we can solve for the new quantity.

es=%ΔQs%ΔP=ΔQs/Q1ΔP/P1e_s = \frac{\%\Delta Q_s}{\%\Delta P} = \frac{\Delta Q_s / Q_1}{\Delta P / P_1}

Here Q1=4Q_1 = 4, P1=10P_1 = 10, P2=30P_2 = 30 and es=1.25e_s = 1.25.

Step 1 — Percentage change in price:

%ΔP=30−1010×100=200%\%\Delta P = \frac{30 - 10}{10} \times 100 = 200\%

Step 2 — Percentage change in quantity supplied: …

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