The demand function for an oligopolistic market is given by the equation, Q = 275 – 4P, where Q is quantity demanded and P is price (Note: inverse demand for the dominant firm here is P = 50 - .2Q). The industry has one dominant firm whose marginal cost function is: MC = 12 + 1.2QD, and many small firms, with a total supply function: QS = 25 + P. In equilibrium, the total output of all small firms is _____
The dominant firm would be the one to set the price. Its inverse demand is given (correctly) as . The total revenue of the dominant firm would be , and the marginal revenue would be or . The dominant firm would produce where the or or or . This is the quantity produced by dominant firm. They would set the price as or dollars.
The small firms would then produce at this same price, and their total output would be units. Hence, the total output of all small firm is 70.25 units.
The demand function for an oligopolistic market is given by the equation, Q = 275 –...
The demand function for an oligopolistic market is given by the equation, Q = 275 – 4P, where Q is quantity demanded and P is price (Note: inverse demand for the dominant firm here is P = 50 - .2Q). The industry has one dominant firm whose marginal cost function is: MC = 12 + 0.7QD, and many small firms, with a total supply function: QS = 25 + P. In equilibrium, the total output of all small firms is
2. (15 points). The demand function for an oligopolistic market is given by the equation, Q 180-4P, where Q is quantity demanded and P is price. The industry has one dominant firm whose marginal cost function is: MC 12+1Qp, and many small firms, with a total supply function: Qs 20+ P. (a) Derive the demand equation for the dominant oligopoly firm. (b) Determine the dominant oligopoly firm's profit-maximizing out- put and price. (c) Determine the total output of the small...
In a monopolistic competitive market for blood pressure monitor, suppose the market demand function for the monitor is P=160 – 3Q, where P is the price for monitor, Q and the quantity of monitor demanded. Marginal cost of producing it is MC: P = 20 + Q, where P is the price of the monitor and Q is the quantity of the monitor sold. Use the Twice as Steep Rule, form the marginal revenue function. What are the price and...
Consider an oligopolistic market with demand represented by P=250-5Q. Assume that the MC for each firm is MC 50. a) If the firms each have the same MC and the market is characterized by price competition (like Bertrand competition), what will be the equilibrium price? Quantity? Industry profits? b) If the few firms are, instead able to perfectly collude, what will be the equilibrium price? Quantity? Industry profits? c) If the market is characterized by quantity competition (Cournot) and there...
Suppose that the (inverse) market demand function for wax paper is P=400-2Q where Q is total industry output. There are only two firms, Firm1 and Firm 2, that produce wax paper. Thus, Q=q1+q2. Each firm has no fixed cost but a constant marginal cost of production equals $40. (a) Suppose that the two firms decide to form a cartel. Calculate the output quantity for Firm 1 (b) Suppose that the two firms decide to form a cartel. Calculate the profit...
Please be descriptive. The market demand curve in a commodity chemical industry is given by Q 600 - 3P, where Q is the quantity demanded per month and P is the market price in dollars. Firms in this industry supply quantities every month, and the resulting market price occurs at the point at which the quantity demanded equals the total quantity supplied. Suppose there are two firms in this industry, Firm 1 and Firm 2. Each firm has an identical...
A homogeneous products duopoly faces a market demand function given by P a - Q, where QQ Q2 and a>300. Both firms have constant marginal costs MC-100. There are no fixed costs. a) What is firm 1's optimal quantity given that firm 2 produces an output of 50 units per year? And what is firm's 1 quantity if firm 2 produces 20 units? [4 marks] b) Derive the equation of each firm's reaction function and provide a graphical explanation to...
Two firms in an industry engaged in Bertrand competition. The industry inverse demand function is p = 40 - 2Q, and marginal cost is MC = 10 for both firms. No firm faces capacity constraints. Find the BertrandNash equilibrium (prices, quantities, profits consumer surplus, total surplus, herfindahl index and lerner index)
Please be descriptive. The inverse market demand curve for bean sprouts is given by P(Q) 100 2Q, and the marginal cost for any firm in the industry is $4. (a) (10 points) If the bean-sprout industry were perfectly competitive, what would be the industry output and the industry price? be the industry output would and the market price? as a follower. What would be the industry output would and the market price? (b) (20 points) If the firms were operating...
3. Suppose XYZ Company is a dominant firm in a particular industry. The demand curve for this industry’s product is ? = 200 − 10?, where Q is the quantity demanded and P is the price. The supply curve for the small firms in the industry is ?? = 20 + 2?, where ?? is the total amount supplied by all the small firms combined. XYZ Company’s marginal cost is ?? = 2??, where ?? is XYZ Company’s output. Question:...