In economics, the price elasticity of demand is the degree to which a proportional change in the price of a product causes a proportional drop in demand for the product. For instance, if elasticity is 0.5, that means that each 1% increase in price causes an approximately 0.5% decrease in quantity demand.When demand is linear with D(p) = b - ap, the price elasticity of demand, E(p), at price p dollars per item is given by. E(p) = ap/(b - ap) a) We say that demand is inelastic at price p if E(p) is less than 1. We say that demand is elastic at price p if E(p) is greater than 1. Let a = 3, b = 120, when p = 10, we have E(10) = _____ and therefore the demand is inelastic.

Respuesta :

we have the equation

[tex]E(p)=\frac{ap}{b-ap}[/tex]

where

a=3

b=120

p=10

substitute the given values to find out E(10)

[tex]E(10)=\frac{3\cdot10}{120-3\cdot10}[/tex][tex]E(10)=\frac{30}{120-30}=\frac{30}{90}=0.33[/tex]

E(10) < 1

therefore

E(10)=0.33

the demand is inelastic