When a kilogram of carrot is #8.00, 20 kilograms are demanded and when the price decreased to #6.000 per kilogram, 30 kilograms are demanded. The elasticity of demand equals to

A.

11

B.

12

C.

\(\frac{1}{2}\)

D.

2

Correct answer is D

Explanation

e = \(\frac{∆Q}{∆P}\times\frac{p}{q}\)



where ∆Q = Q2 - Q1 and ∆P = P2 - P1
 

e = \(\frac{30 - 20}{6 - 8}\times\frac{8}{20}\)



= -2 since price elasticity of demand is always positive, then e = 2