Question

Коэффициент эластичности спроса по цене на приемники марки «Гармония» равен (–3). Цена на эти приемники выросла на 6%. Определите изменения, которые претерпела в результате этого выручка продавцов данных приемников: а) характер изменения (снизилась, выросла, не изменилась) и б) насколько изменилась выручка (рассчитать в процентах с точностью до двух знаков после запятой),

Answer 1

Calculation of Revenue Changes

To determine the changes in revenue for the sellers of "Harmony" receivers, we need to consider the price elasticity of demand. The price elasticity of demand measures the responsiveness of the quantity demanded to a change in price. In this case, the price elasticity of demand for "Harmony" receivers is given as -3.

The formula to calculate the percentage change in quantity demanded is:

% Change in Quantity Demanded = Price Elasticity of Demand * % Change in Price

Given that the price of the receivers increased by 6%, we can calculate the percentage change in quantity demanded using the formula above.

Let's proceed with the calculation:

1. Calculate the percentage change in quantity demanded: - Price Elasticity of Demand = -3 - % Change in Price = 6%

% Change in Quantity Demanded = -3 * 6% = -18%

2. Determine the character of the revenue change: Since the price elasticity of demand is negative (-3), we can conclude that the demand for "Harmony" receivers is elastic. This means that a 6% increase in price leads to an 18% decrease in quantity demanded. Therefore, the character of the revenue change is a decrease.

3. Calculate the percentage change in revenue: The percentage change in revenue can be calculated using the formula:

% Change in Revenue = % Change in Quantity Demanded + % Change in Price

% Change in Revenue = -18% + 6% = -12%

Therefore, the revenue of the sellers of "Harmony" receivers has decreased by 12%.

To summarize: a) The character of the revenue change is a decrease. b) The revenue of the sellers of "Harmony" receivers has decreased by 12%.

Please note that the calculations provided are based on the given information and assumptions about the price elasticity of demand.