Due to changes in market conditions, the company finds the demand qq (in thousands) for their kente strips to be at a price of GH¢p per kente strip.

Required:
(i) Determine the elasticity of demand when the price is GH¢5 and when the price is GH¢15 per kente strip. (6 marks)
(ii) Comment on your results in (i). (2 marks)

i)

First, find the derivative of the demand function q = 400 −

Now calculate the elasticity at the given prices:

When p = 

PED =

 

 

When p = 15  we have :

 

PED =

(ii) Comment on the results:

When p = 5 the demand is inelastic as the elasticity is less than 1 in absolute value, indicating that a change in price will result in a smaller percentage change in quantity demanded.
When p = 15, the demand is elastic, as the elasticity is greater than 1 in absolute value, indicating that a change in price will result in a larger percentage change in quantity demanded.