# find the elasticity of demand at the price p=2.5 with the demand of p.x=72.5 the elasticity of demand is ED=

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Expert Answers

crmhaske | Certified Educator

First, calculate the demand function (x)

px = 72.5

x = 72.5/p

In order to calculate the elasticity of demand, use the following equation:

`E_d=dx/(dp)(p/x)`

Next, calculate the derivative `dx/(dp)` :

`dx/(dp)=d/(dp)(7.5/p)=-7.5/p^2`

Substitute the equations for x and `dx/(dp)` into the equation for the elasticity of demand, and solve:``

`E_d=(-7.5/p^2)(p/(72.5/p))`

`E_d=-7.5/72.5=-0.103 <1`

The demand in price is inelastic as the elasticity of demand is a value less than 1.

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Student Comments

oldnick | Student

`p xx x=72.5` `x=72.5/p` `dx/(dp)= -72.5/p^2`

`E_d= (dx/(dp))(p/x)= -72.5 /p^2 xx p^2/72.5=-1`

Anelastyc