Question

Кривая спроса на товар Qd= 280-3P где Qd-обьем спроса , P-цена товара . Кривая предложения товара Qd= 30 +2 P . Где Qs обьем предложения. Рассчитайте равновесную цену и равновесное количество.

Answer 1

30+2Р=280-3Р

5Р=250

Р равновесная = 50

Q равновесный = 30+2*50=130

Answer 2

Equilibrium Price and Quantity Calculation

To calculate the equilibrium price and quantity, we need to find the point where the quantity demanded (Qd) equals the quantity supplied (Qs).

Given the demand curve: Qd = 280 - 3PAnd the supply curve: Qs = 30 + 2P To find the equilibrium price, we set Qd equal to Qs and solve for P:

280 - 3P = 30 + 2P

Combining like terms:

280 - 30 = 2P + 3P

250 = 5P

Dividing both sides by 5:

P = 50

So the equilibrium price is $50.

To find the equilibrium quantity, we substitute the equilibrium price (P = 50) into either the demand or supply equation. Let's use the demand equation:

Qd = 280 - 3P

Qd = 280 - 3(50)

Qd = 280 - 150

Qd = 130

So the equilibrium quantity is 130 units.

Therefore, the equilibrium price is $50 and the equilibrium quantity is 130 units.