Answer:
The price should be increased by 50%.
Step-by-step explanation:
The can be determined using the formula for calculating the price elasticity of demand as follows:
Ep = Percentage change in quantity demanded / Percentage change in price .......... (1)
Where,
Ep = price elasticity of demand for cigarette = 0.4
Percentage change in quantity demanded = 20%
Percentage change in price = ?
Substituting the values into equation (1) and solve for Percentage change in price, we have:
0.4 = 20% / Percentage change in price
Percentage change in price * 0.4 = 20%
Percentage change in price = 20% / 0.4
Percentage change in price = 0.50, or 50%
Since the percentage change in price is 50%, it therefore implies that the price should be increased by 50% to reduce smoking by 20%.