The price of a commodity is Rs. 5 per unit and its quantity suppled is 600 units. If its price rises to Rs. 6 per unit , its quantity supplied rises by 25 percent. Calculate its price elasticity of supply.
`{:(" 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)`
`1.5=(8)/(200)xx(DeltaQ_(s))/(2)`
`8DeltaQ_(s)=600`
`DeltaQ_(s)=75`
New `Q=Q_(s)+DeltaQ_(s)=200+75=275` units
`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
Percent change in price `=(-1)/(10)xx100=-10%`
Percent change in supply =-20%
`E_(s) =("Percentage change in supply")/("Percentage change in price")=(-20)/(-10)=2`