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(d) calculate the percentage of the total tax imposed that is: (i) paid by the buyers per unit: (ii) paid by the sellers per unit. 2. a

Question

(d) Calculate the percentage of the total tax imposed that is: (i) paid by the buyers per unit: (ii) paid by the sellers per unit. 2. A public transport company recently increased the price of its service on a particular high traffic route from 12 to 15 per trip, this resulted in a reduction in the number of commuters from 600 to 580 per day. Use the information above to answer the questions that follow. (a) Calculate the: (bar (x)) percentage increase in the price of its service; (ii) percentage decrease in the number of commuters; (iii) coefficient of price elasticity of demand for its service. (b) Is the demand for the company's transport service price clastic or inelastic? Give a reason for your answer. ria

Answer

4.6 (180 Votes)
Verificación de expertos
Xavier Veteran · Tutor for 11 years

Answer

(i) The percentage increase in the price of its service is .(ii) The percentage decrease in the number of commuters is .(iii) The coefficient of price elasticity of demand for its service is .(b) The demand for the company's transport service is price inelastic because the absolute value of the coefficient of price elasticity of demand is less than 1.

Explanation

## Step 1: Calculate the percentage increase in the price of the service.The initial price is .### Formula: ### Calculation: ## Step 2: Calculate the percentage decrease in the number of commuters.The initial number of commuters is 600 and the new number is 580.### Formula: ### Calculation: ## Step 3: Calculate the coefficient of price elasticity of demand for its service.The coefficient of price elasticity of demand ( ) is calculated using the percentage change in quantity demanded and the percentage change in price.### Formula: ### Calculation: ## Step 4: Determine if the demand is price elastic or inelastic.A demand is considered elastic if and inelastic if .### Analysis:Since , which is less than 1, the demand is inelastic.### Reason:The percentage change in quantity demanded is less than the percentage change in price.