The quantity demanded of a commodity rises from 800 units to 850 units when its price falls from Rs. 20 per unit to Rs. 19 per unit . Calculate its elasticity of demand.
`{:(" 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_(P)=(% " change in " Q_(d))/(% " change in P")=((30)/(150)xx100)/(-10)=(-2)`
`-2=((60)/(150)xx100)/(%" change in price")`
`%` change in Price `=(60)/(150)xx100xx(1)/(-2)=-20%`.
`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
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`