Question

Ситуация на рынке характеризуется Qd=900-100p, Qs=50-150p.Определите выигрыш продавца и покупателя, если на рынке установится равновесие.

Answer 1

Решение:
Параметры равновесия данного рынка.
При равновесии Qd = Qs
900 -100P = 50 -150P
-50P = 850
Pравн = -17 - равновесная цена.
Равновесный объем продажи определим, подставив значение Р:
900-100*(-17) = 50-150*(-17)
Qравн = 2600 - равновесный объем.
W = P*Q = -44200 - доход продавца.

Answer 2

Market Situation Analysis

The market situation is characterized by the following demand and supply functions: - Demand Function (Qd): Qd = 900 - 100p - Supply Function (Qs): Qs = 50 - 150p

To determine the gains of the seller and the buyer at the equilibrium, we need to first find the equilibrium price and quantity.

Equilibrium Price and Quantity

At equilibrium, the quantity demanded (Qd) equals the quantity supplied (Qs). This can be represented by the equation Qd = Qs. By solving for the equilibrium price (p) and quantity (Q), we can find the values at which the market reaches equilibrium.

Calculation of Equilibrium Price and Quantity

To find the equilibrium price and quantity, we can set the demand and supply functions equal to each other: 900 - 100p = 50 - 150p

Solving for p: 900 - 50 = 100p - 150p 850 = -50p p = -850 / -50 p = 17

Substitute p = 17 into either the demand or supply function to find the equilibrium quantity: Q = 900 - 100*17 Q = 900 - 1700 Q = -800

The negative quantity indicates an error in the calculation. Let's re-evaluate the equilibrium price and quantity using the correct equations.

Recalculation of Equilibrium Price and Quantity

By re-evaluating the equilibrium price and quantity using the correct equations: Qd = 900 - 100p Qs = 50 - 150p

Setting Qd = Qs: 900 - 100p = 50 - 150p 900 - 50 = 100p - 150p 850 = -50p p = -850 / -50 p = 17

Substitute p = 17 into either the demand or supply function to find the equilibrium quantity: Q = 900 - 100*17 Q = 900 - 1700 Q = -800

It seems there might be an error in the provided demand and supply functions. Without the correct equilibrium price and quantity, it's not possible to determine the gains of the seller and the buyer at the equilibrium.