Question

Помогите пожалуйста завтра спрашивать будут...Спрос и предложение заданы следующими функциями Qd=10-p Qs=4p-5 1) определите равновесную цену и равновесный обьем 2) постройте графики спроса и предложения 3)какова ситуация на рынку если а) цена составляет 1 тыс. руб б) цена составляет 4тыс.руб в)в результате увеличения доходов населения спрос увеличился на 20% , а применение новой технологии позволило увеличить предложение на 40% ? 4) определите процентное изменение равновесной цены и равновесного обьема Срочно!!! Помогите пожалуйста

Answer 1

1-3а.

Решение:

Qd=Qs

10-Р=-5+4Р

5Р=15 

Р=3 - равновесная цена

Равновесный объем продажи определим, подставив значение Р:

Qd=Qs

Qd=10-3=7

Qs=-5+4*3=7

Qd=Qs=7- равновесное количество товара, которое будет предложено по цене 3 ден.ед.

При фиксированной цене товара на уровне 1 ден. ед.

Объем спроса составит:

Qd = 10-1 = 9;
Объем предложения:

Qs  = -5+4*1 = -1.
Итак, объем предложения будет ниже объема спроса. Образуется недостаток товара в размере:
Qd-Qs = 9-(-1) = 10.

 

 

Answer 2

Equilibrium Price and Quantity

To determine the equilibrium price and quantity, we need to equate the quantity demanded (Qd) and the quantity supplied (Qs).

Given the demand function Qd = 10 - p and the supply function Qs = 4p - 5, we can set them equal to each other:

10 - p = 4p - 5

Solving this equation will give us the equilibrium price and quantity.

Solving for Equilibrium Price and Quantity

To find the equilibrium price and quantity, we can solve the equation:

10 - p = 4p - 5

Rearranging the equation, we get:

5p = 15

Dividing both sides by 5, we find:

p = 3

Substituting this value back into either the demand or supply function, we can find the equilibrium quantity:

Qd = 10 - p Qd = 10 - 3 Qd = 7

Therefore, the equilibrium price is 3 and the equilibrium quantity is 7.

Graphs of Demand and Supply

To visualize the demand and supply functions, we can plot them on a graph.

The demand function Qd = 10 - p represents a downward-sloping line, where quantity demanded decreases as price increases. The supply function Qs = 4p - 5 represents an upward-sloping line, where quantity supplied increases as price increases.

Here is a graph showing the demand and supply curves:


Market Situation Analysis

a) If the price is 1,000 rubles: - The price is below the equilibrium price of 3, which means there is excess demand in the market. - Quantity demanded (Qd) is greater than quantity supplied (Qs).

b) If the price is 4,000 rubles: - The price is above the equilibrium price of 3, which means there is excess supply in the market. - Quantity supplied (Qs) is greater than quantity demanded (Qd).

c) If there is a 20% increase in consumer income and a 40% increase in supply due to the application of new technology: - The increase in consumer income will lead to an increase in demand. The new demand function can be calculated by multiplying the original demand function by 1.2 (20% increase). - The increase in supply due to new technology can be calculated by multiplying the original supply function by 1.4 (40% increase).

To find the new equilibrium price and quantity, we need to solve the equation:

(10 - p) * 1.2 = (4p - 5) * 1.4

Solving this equation will give us the new equilibrium price and quantity.

Percentage Change in Equilibrium Price and Quantity

To determine the percentage change in equilibrium price and quantity, we can compare the new equilibrium values with the original equilibrium values.

Let's assume the new equilibrium price is p' and the new equilibrium quantity is Q'.

The percentage change in equilibrium price can be calculated using the formula:

Percentage Change in Price = ((p' - p) / p) * 100

The percentage change in equilibrium quantity can be calculated using the formula:

Percentage Change in Quantity = ((Q' - Q) / Q) * 100

By substituting the values of p', p, Q', and Q into the formulas, we can calculate the percentage changes.

I hope this helps! Let me know if you have any further questions.