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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. - Economics

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Question

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?

Sum

Solution

Initial Price, P1 = Rs 10

Initial Output, Q1 = 4 units

Final Price, P2 = Rs 30

ΔP = P2 − P1

= Rs 30 − 10 = Rs 20

Elasticity of supply, es = 1.25

`e_s=(DeltaQ)/(DeltaP)xxP_1/Q_1`

`rArr1.25=(DeltaQ)/20xx10/4`

⇒ 1.25 × 8 = ΔQ

⇒ ΔQ = 10 units

Thus final output supplied, Q2 = ΔQ + Q1

Q2 = 10 + 4 = 14 units

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Price Elasticity of Supply
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Chapter 4: The Theory Of The Firm Under Perfect Competition - Exercise [Page 70]

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NCERT Economics - Introductory Microeconomics [English]
Chapter 4 The Theory Of The Firm Under Perfect Competition
Exercise | Q 27 | Page 70
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