Question

Предельные издержки фирмы монополиста составляют 60 руб а коэффициент эластичности спроса на ее продукт по цене при оптимальном значении цены равен (-0, 5) . Найти равновесную цену на продукцию монополиста.

Answer 1

Решение:

Р= МС/(1 + 1/Ер)

Р= 60/(1 + 1/0,5) = 60/3 = 20 руб.

Answer 2

Calculation of Equilibrium Price for Monopolist's Product

To find the equilibrium price for a monopolist's product, we need to consider the marginal cost and the elasticity of demand.

The marginal cost (MC) represents the additional cost incurred by the firm to produce one more unit of output. In this case, the marginal cost is given as 60 rubles.

The elasticity of demand measures the responsiveness of quantity demanded to changes in price. The coefficient of price elasticity of demand (PED) is given as (-0.5).

To determine the equilibrium price, we can use the following formula:

PED = (% change in quantity demanded) / (% change in price)

Since the coefficient of price elasticity of demand (PED) is given as (-0.5), we can rewrite the formula as:

-0.5 = (% change in quantity demanded) / (% change in price)

Since the monopolist aims to maximize profit, it sets the price where marginal cost equals marginal revenue (MR). In a monopolistic market, the marginal revenue is equal to the price.

Therefore, we can equate the marginal cost (MC) to the price (P) and solve for the equilibrium price.

Calculation Steps:

1. Set the marginal cost (MC) equal to the price (P):

MC = P

2. Calculate the percentage change in quantity demanded:

(% change in quantity demanded) = PED * (% change in price)

Since the coefficient of price elasticity of demand (PED) is given as (-0.5), we can substitute it into the formula:

(% change in quantity demanded) = (-0.5) * (% change in price)

3. Substitute the value of the percentage change in quantity demanded into the equation:

MC = P

MC = P * (1 + (% change in quantity demanded))

MC = P * (1 + (-0.5) * (% change in price))

4. Substitute the value of the marginal cost (MC) into the equation:

60 = P * (1 + (-0.5) * (% change in price))

5. Solve for the equilibrium price (P):

P = 60 / (1 + (-0.5) * (% change in price))

Now, we need the value of the percentage change in price to calculate the equilibrium price. Unfortunately, the value of the percentage change in price is not provided in the question. Without this information, we cannot calculate the exact equilibrium price for the monopolist's product.

Please provide the value of the percentage change in price so that we can proceed with the calculation.