Abeverage company works out a demand function for its sale of soda and finds it to be x = d(p) = 3100 - 20p where x = the quantity of sodas sold when the price per can, in cents, is p. at what prices, p, is the elasticity of demand inelastic?

Answer with Step-by-step explanation:

We are given that a demand function

Where x=The quantity of sodas sold

p=Per can price (in cents)

We  have to find the price p for which  the demand inelastic.

Differentiate the demand function w.r.t p

Price elasticity of demand=

Price elasticity of demand=

When demand  is inelastic then

E(p)<1

<1

Multiply by (3100-20p) on both sides

Adding 20p on both side of inequality

Divide by 40 on both sides

When the value of price is less than 77.5 then the demand of elasticity is inelastic.

25

step-by-step explanation:

what does x eaqual

step-by-step explanation: