Question

Помогите пожалуйста!!! Заранее спасибо))) Производители телевизоров перепрофилировали часть мощностей предприятий на выпуск деталей для компьютеров. Это привело к повышению на 1 тыс. руб. цены на телевизоры, составлявшей первоначально 10 тыс. рублей. По старой цене производители реализовывали ежедневно 5 тыс. телевизоров. Коэффициент ценовой эластичности спроса на них равен –2,5. 1. Определите, сколько телевизоров в день продается по новой цене.

Answer 1

Calculation of the Number of Televisions Sold at the New Price

To determine the number of televisions sold per day at the new price, we need to use the concept of 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 coefficient of price elasticity of demand is given as -2.5.

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

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

In this case, the percentage change in price is 1,000 rubles (the increase in price from 10,000 rubles to 11,000 rubles), and the price elasticity of demand is -2.5. Plugging these values into the formula, we can calculate the percentage change in quantity demanded:

Percentage Change in Quantity Demanded = -2.5 * (1,000 / 10,000) = -0.25

This means that for every 1% increase in price, the quantity demanded decreases by 0.25%.

Now, let's calculate the number of televisions sold at the new price. Initially, the manufacturers were selling 5,000 televisions per day at the old price of 10,000 rubles. With a 0.25% decrease in quantity demanded for every 1% increase in price, we can calculate the new quantity demanded as follows:

New Quantity Demanded = 5,000 * (1 - 0.25) = 5,000 * 0.75 = 3,750

Therefore, at the new price of 11,000 rubles, the manufacturers are selling 3,750 televisions per day.