10. A firm supplies 200 units of a good at a price of Rs 5 per unit. When
price changes it supplies 100 units less. Price Elasticity of Supply is 2.5.
Calculate price after change in quantity.
Q=200Q=200Q=200 ,P=200×5=Rs.1000,P=200\times 5=Rs.1000,P=200×5=Rs.1000
ΔQ=100−200=−100\Delta Q=100-200=-100ΔQ=100−200=−100
let price after change in quantity=x=x=x
ΔP=x−1000\Delta P=x-1000ΔP=x−1000
Es=ΔQ/ΔP×P/QE_s=\Delta Q/ \Delta P\times P/QEs=ΔQ/ΔP×P/Q
2.5=(−100)/(x−1000)×1000/2002.5=(-100)/(x-1000)\times 1000/2002.5=(−100)/(x−1000)×1000/200
2.5(x−1000)=−5002.5(x-1000)=-5002.5(x−1000)=−500
2.5x−1000=−5002.5x-1000=-5002.5x−1000=−500
2.5x=5002.5x=5002.5x=500
x=Rs200x=Rs200x=Rs200
price per unit =200/100=Rs2=200/100=Rs 2=200/100=Rs2
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