At price of Rs. 8 per unit, the quantity supplied of a commodity is 200 units. Its price elasticity of supply is 1.5 . If its price rises to Rs. 10 per unit , calculate its quantity supplied at the new price .
`E_(s)=(P)/(Q_(s))xx(DeltaQ_(s))/(DeltaP)`
`1.5=(8)/(200)xx(DeltaQ_(s))/(2)`
`8DeltaQ_(s)=600`
`DeltaQ_(s)=75`
New `Q=Q_(s)+DeltaQ_(s)=200+75=275` units
`{:(" P 12"),(" P"_(1)" 15"),(ulbar(DeltaP" 3")):}" "{:("Q 500"),("Q"_(1)" 650"),(ulbar(DeltaQ" 150")):}" "P.e_(S)=(P)/(Q)xx(DeltaQ)/(DeltaP)=(12)/(500)xx(150)/(3)=1.2`
Yes, supply is elastic as it is greater than one.
`E_(P)=(P)/(Q)xx(DeltaQ)/(DeltaP)=(50)/(1000)xx(80)/(-5)=(-)(4)/(5)=(-)0.8`
The demand is inelastic because the absolute value of clasticity is less than 1 (sign ignored).
`E_(s)=(P)/(Q_(s))xx(DeltaQ_(s))/(DeltaP)`
`2.5=(5)/(300)xx(DeltaQ_(s))/(-1)`
`-750=5DeltaQ_(s)`
`DeltaQ_(s)=-150`
New `Q=Q_(s)+ DeltaQ=300+(-150)=300-150=150` units
`E_(s) ` of X `=(40)/(16)=2.5`
`therefore " "E_(s)` of Y =`2.5 div 2=1.25`
`E_(s)` of Y `=(%"change in supply")/(% "change in price")`
`1.25=(%"change in supply")/(8)`
% change in supply `=8xx1.25=10`...
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