Suppose the demand for pizza in a small isolated town is p = 10 - Q. There are only two firms, A and B, and each has a cost function TC = 2 + q. Determine the Cournot equilibrium Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sure.
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Suppose the demand for pizza in a small isolated town is p = 10 - Q. There are only two firms, A and B, and each has a cost function TC = 2 + q. Determine the Cournot equilibrium
Note:-
- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism.
- Answer completely.
- You will get up vote for sure.
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- Consider a market structure comprising two identical firms (A and B), each with the cost function given by: Ci = 30Qi , where Qi for i = {A, B} is output produced by each firm. Market demand is given by: P = 210 − 1.5Q, where Q = QA + QB (i) Find Cournot equilibrium. (ii) What will be the outcome if the firms decide to collude? Compare it with the results under the Cournot equilibrium.Suppose that firms A and B have the same product in the same market, where Qd = Qa + Qb = 300 - 2p is demand And the firms have a simple cost curves of TCa = 5Qa and TCb = 10Qb Find Cournot Equilibrium & Find the Stackelberg equilibrium if A is the leader Thank you!Exercise 6.8. Two companies with cost functions C1 (q1 )=5q1 and C2 (q2)= 0.5 q2 ² supply the to the same market. If the inverse market demand function is given by P = 100 - 0,5Q , where Q = q₁ + q₂ , find a) The production level of each firm, the price and the profits if the companies compete according to the Cournot model. (b) The level of production of each undertaking, the price and the profits if the undertakings agree to jointly maximise their profits. Show the results with the help of graphs.
- Q. Three firms operate in a market with a Demand function p = 169 - 2Q. All three firms have identical Cost functions: TC = 1200 - 95q + 2q2.i) Given that the firms are able to collude, what is the equilibrium market price and output?ii) If all of the firms cheat and each increases output by two units, what would be the new equilibrium price and the impact on an individual firm’s profits?Two firms, Firm 1 and Firm 2, compete by simultaneously choosing prices. Both firms sell an identical product for which each of 100 consumers has a maximum willingness to pay of $40. Each consumer will buy at most 1 unit, and will buy it from whichever firm charges the lowest price. If both firms set the same price, they share the market equally. Costs are given by c; (q) = 16q;. Because of government regulation, firms can only choose prices which are integer numbers, and they cannot price above $40. Answer the following: a) If Firm 1 chooses pi = 32, Firm 2's best response is to set what price? b) If Firm 2 chooses the price determined in the previous question, Firm 1's best response is to choose what price? c) If Firm 1 chooses pi = 9, Firm 2's best response is a range of prices. What is the lowest price in this range? d) Now suppose both firms are capacity-constrained: Firm 1 can produce at most 42 units, and Firm 2 can produce at most 44 units. If firms set different prices,…please solve the question completely. Suppose an industry consists of two firms that compete in prices. Each firm produces one product. The demand for each product is as follows: q1 = 25 - 5p1 + 2p2 q2 = 25 - 5p2 + 2p1 The cost functions are C(qi) = 2 + qi for i = 1; 2. (a) Are the products produced by these firms homogenous or differentiated? (b) Find the best response function for each rm. (c) How does the price firm 1 sets change with its belief about the price of its competitor\'s product? (d) What are the Nash equilibrium prices? (e) What is the percentage markup of price over marginal cost here (this is called the Lerner index)? Do the firms have market power? Why does the Bertrand paradox of zero variable duopoly profits apply here? (f) Suppose the firms merged. What is the new price of products 1 and 2? (g) Explain intuitively why the price is higher under monopoly than under Bertrand duopoly? (h) Are total monopoly profits higher or lower than the sum of Bertrand duopoly…
- Since you know all about perfect competition, monopoly, and oligopoly, we can find out how various types of firms might feel about uncertainty concerning the prices of its factors of production and output. Consider a profit-maximizing firm that produces a single good from several factors. The firm is characterized by a production function y = f(x1, ... , Xn), where y is the level of output obtainable from factor inputs x1, ... , Xn. We will use p to denote the price of the output good, and Wi to denote the price of factor input i. When there is uncertainty a priori about these prices, the firm is allowed to choose its production plan after any uncertainty in prices resolves. (c) Finally, consider this question in the context of a von Stackelberg duopoly. Two firms produce an undifferentiated commodity for which demand is given by P = A - X, where P is price and X is total supply. Demand-is unchanging. Each firm has production technology with a fixed cost F for producing anything at…A homogeneous product duopoly faces a market demand function given by p = 300 - 3Q,where Q = q1 + q2. Both firms have constant marginal cost MC = 100. What is the Bertrand equilibrium price and quantity in this market?Consider a Duopoly model, in which two firms decide a quantity simultaneously. The market demand is given by P=50 - Q, where Q is the total output (Q=Q1+Q2). Each firm has an identical cost function, TCi=6Qi, i=1, 2. If Firm 1 believes Q2=10, Firm 1 should sell Q1= ____ units in order to maximize its profit.
- Consider a homogeneous good industry (such as an agricultural product) with just two firms and a total market demand Q = 400−P, so the inverse demand is P = 400 − Q. Suppose both firms have a constant marginal cost equal to $100 per unit of output and a fixed cost equal to $10,000. One simple way to depict rivalry in a duopoly (2 firms) is the Cournot model. This model is reasonable in agricultural markets where firms choose production (plantings) in advance and the market price is determined later after the crop is harvested. In the Cournot model we imagine that the two firms simultaneously choose their production or quantity, and that demand (market clearing) determines the price given each firms’ quantity. (a) Suppose (hypothetically) that the second firm produces 0 units, and the first firm anticipates this, so the first firm is the only seller. How much will the first firm produce (in this case the first firm acts like a monopolist and sets output where MR = MC)? Hint: The first…Consider a homogeneous good industry (such as an agricultural product) with just two firms and a total market demand Q = 400−P, so the inverse demand is P = 400 − Q. Suppose both firms have a constant marginal cost equal to $100 per unit of output and a fixed cost equal to $10,000. One simple way to depict rivalry in a duopoly (2 firms) is the Cournot model. This model is reasonable in agricultural markets where firms choose production (plantings) in advance and the market price is determined later after the crop is harvested. In the Cournot model, we imagine that the two firms simultaneously choose their production or quantity and that demand (market clearing) determines the price given each firms’ quantity. (a) Suppose (hypothetically) that the second firm produces 0 units, and the first firm anticipates this, so the first firm is the only seller. How much will the first firm produce (in this case the first firm acts as a monopolist and sets output where MR = MC)? Hint: The first…Two firms, Firm 1 and Firm 2, compete by simultaneously choosing prices. Both firms sell an identical product for which each of 100 consumers has a maximum willingness to pay of $40. Each consumer will buy at most 1 unit, and will buy it from whichever firm charges the lowest price. If both firms set the same price, they share the market equally. Costs are given by C; (qi) = 16q¡ . Because of government regulation, firms can only choose prices which are integer numbers, and they cannot price above $40. Could you help me with these questions? a) If Firm 1 chooses Pi price? = 32, Firm 2's best response is to set what b) If Firm 2 chooses the price determined in the previous question, Firm 1's best response is to choose what price? c) If Firm 1 chooses p₁ = 9, Firm 2's best response is a range of prices. What is the lowest price in this range?