Question

Найдите коэффициентпрямой эластичности спроса по цене и сделайте вывод о характере и измененииобщих расходов, если известно, что при цене 10 руб. объем спроса составит 30тыс. ед. в месяц, а при цене 15 руб. – 20 тыс. ед.

Answer 1

Решение:
Ep(D) = (20-30)/(15-10) * (15+10)/(20+30) = -1
Ep(D) = |-1| =1 - единичная эластичность.
Вывод: при единичной эластичности спрос растет и снижается с тем же тем­пом, что падает и растет цена. Если цена уменьшится или возрас­тет, то общие расходы не изменятся.

Answer 2

Calculation of Price Elasticity of Demand

To calculate the price elasticity of demand, we need to use the formula:

Price Elasticity of Demand = (% Change in Quantity Demanded) / (% Change in Price)

Given the information provided, we can calculate the price elasticity of demand using the following steps:

1. Calculate the percentage change in quantity demanded: - Initial quantity demanded: 30,000 units - Final quantity demanded: 20,000 units - Percentage change in quantity demanded = ((Final quantity demanded - Initial quantity demanded) / Initial quantity demanded) * 100

2. Calculate the percentage change in price: - Initial price: 10 rubles - Final price: 15 rubles - Percentage change in price = ((Final price - Initial price) / Initial price) * 100

3. Calculate the price elasticity of demand using the formula mentioned above.

Let's perform the calculations:

1. Percentage change in quantity demanded: - ((20,000 - 30,000) / 30,000) * 100 = -33.33%

2. Percentage change in price: - ((15 - 10) / 10) * 100 = 50%

3. Price elasticity of demand: - Price Elasticity of Demand = (-33.33% / 50%) = -0.6667

Interpretation of Price Elasticity of Demand

The calculated price elasticity of demand is -0.6667. The negative sign indicates that the demand is price elastic, meaning that a change in price will have a relatively larger impact on the quantity demanded.

In this case, the price elasticity of demand is less than 1 in absolute value, indicating that the demand is inelastic. This means that the percentage change in quantity demanded is less than the percentage change in price. In other words, a 1% increase in price will result in a less than 1% decrease in quantity demanded.

Conclusion about Total Expenditure

When the demand is inelastic, as in this case, the total expenditure on the product will increase when the price increases. This is because the decrease in quantity demanded is proportionally smaller than the increase in price.

In summary, based on the given information, the price elasticity of demand is -0.6667, indicating that the demand is price elastic but inelastic. As a result, an increase in price will lead to a decrease in quantity demanded, but the decrease will be proportionally smaller than the increase in price. Consequently, the total expenditure on the product will increase when the price increases.

Please note that the calculations and conclusions are based on the information provided and the assumption that other factors affecting demand remain constant.