Question

Помогите пожалуйста) При повышении цены на товар с Р1 =5 руб. за ед. до Р2 =6 руб. за ед., количество купленного товара сократилась с Q1 =15 ед. до Q2=10 ед. Проанализируйте, как изменится общая выручка продавца после повышения цены на товар. Эластичен ли спрос на этот товар? Имеет ли смысл продавцу повышать цену?

Answer 1

Ответ:

Выручка продавца снизится на 15 руб.

Спрос эластичный

Повышать цену смысла нет

Объяснение:

1. 15*5=75 руб.

  10*6=60 руб.

  75-60=15 руб. - разница в выручке

2. 6-5=1 ед. Цена выросла на 1 единицу или на 20% -  (1*100)/5=20%  

   15-10=5 ед. Спрос снизился на 5 ед. или на 33,3% - (5*100)/15=33,3

   Эластичность (Э)= изменение проса (%) / изменение цены (%)

   Э = 33,3 / 20 = 1,66

   если Э больше единицы, то спрос эластичный. Небольшое изменение цены приводит к большим изменениям спроса. При снижении цен доход возрастает, при повышении цен доход снижается.

Answer 2

Analysis of the Price Increase and its Impact on Total Revenue

To analyze the impact of the price increase on the total revenue of the seller, we need to consider the change in quantity demanded and the change in price.

Given the following information: - Initial price (P1) = 5 rubles per unit - Final price (P2) = 6 rubles per unit - Initial quantity demanded (Q1) = 15 units - Final quantity demanded (Q2) = 10 units

We can calculate the initial total revenue (TR1) and the final total revenue (TR2) using the formula: Total Revenue = Price * Quantity.

Initial total revenue (TR1) = P1 * Q1 = 5 rubles * 15 units = 75 rubles Final total revenue (TR2) = P2 * Q2 = 6 rubles * 10 units = 60 rubles

The total revenue decreased from 75 rubles to 60 rubles after the price increase.

Elasticity of Demand

To determine the elasticity of demand for this product, we need to calculate the percentage change in quantity demanded and the percentage change in price.

The percentage change in quantity demanded can be calculated using the formula: Percentage Change in Quantity Demanded = ((Q2 - Q1) / Q1) * 100.

Percentage change in quantity demanded = ((10 - 15) / 15) * 100 = -33.33%

The percentage change in price can be calculated using the formula: Percentage Change in Price = ((P2 - P1) / P1) * 100.

Percentage change in price = ((6 - 5) / 5) * 100 = 20%

Now, we can calculate the price elasticity of demand using the formula: Price Elasticity of Demand = (Percentage Change in Quantity Demanded) / (Percentage Change in Price).

Price Elasticity of Demand = (-33.33% / 20%) = -1.67

Since the price elasticity of demand is greater than 1 in absolute value (-1.67 > 1), we can conclude that the demand for this product is elastic. This means that a price increase leads to a proportionally larger decrease in quantity demanded, resulting in a decrease in total revenue.

Conclusion

Based on the analysis, we can conclude that the price increase from 5 rubles to 6 rubles per unit resulted in a decrease in total revenue for the seller. The demand for this product is elastic, indicating that a price increase leads to a larger decrease in quantity demanded. Therefore, it may not be beneficial for the seller to increase the price of the product, as it would result in a decrease in total revenue.