1.

Consider the demand curve D(p)=10-3p. What is the elasticity at price 5/3 ?

Answer»

Solution :GIVEN `Q=10-3P`.
When `P=(5)/(3), Q=10-3xx(5)/(3)=5`
DIFFERENTIATING Q with respect to P, we get,
`(Delta Q)/(Delta P)=-3`
We know,
`ED=(Delta Q)/(Delta P)xx(P)/(Q)=-3xx(5//3)/(5)`
`=-3xx(5)/(3)xx(1)/(5)=[-]1`
Negative sign of ED indicates that inverse relationship between price and quantity demanded.
PED = 1 [Unitary elastic demand].


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