Three products compete in a market and their demand and supply functions are qd1 = 44-2p1+p2+p3 qs1 = -10+3p1 qd2 = 25+ p1 –p2 +3p3 qs2 = -15+5p2 qd3 = 40 +2p1+p2 -3p3 qs3 = -18+2p3 where p1, p2, and p3 are the prices. Determine the prices and quantities which result in equilibrium in each market using Cramer’s rule.
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- Three products compete in a market and their
demand and supply functions are
qd1 = 44-2p1+p2+p3 qs1 = -10+3p1
qd2 = 25+ p1 –p2 +3p3 qs2 = -15+5p2
qd3 = 40 +2p1+p2 -3p3 qs3 = -18+2p3
where p1, p2, and p3 are the prices. Determine the prices and quantities which result in equilibrium in each market using Cramer’s rule.
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- Given the following demand and supply functions for two competing products. Qd1 =82 – 3p1 + p2; Qs1 = 15p1 – 5; Qd2 = 92 + 2p1 – 4p2; Qs2 = 32p2 - 6 Determine whether there are prices which bring the supply and demand levels into equilibrium for the two products. If so, what are the equilibrium quantities?The two major producers in the beer industry, Anheuser-Bush (Firm 1) and Grupo Modelo (Firm 2) are about to enter the Chilean market as imported beers (Bud Light and Corona Light). A detailed market research analysis indicate that an approximate market demand structure for this product is P = 26.3 – 2Q (price per liter), where Q = Q1 + Q2 (in millions of liters per month). The firms’ cost structures are: TC1 = 6 + 2.5Q1 and TC2 = 8 + 1.8Q2. Instructions: Use no decimals. Use the average cost to calculate monopoly profits. Do not round if values are used to complete other calculations. Complete the following table. Q1 Q2 P Profits F1 Profits F2 F2 cheats w/ QDC, F1 colludes F2 cheats w/ QBRF, F1 colludesTwo firms sell an identical product in a market by setting prices simultaneously. Consumers buy from the firm that offers the lower price; if the prices are identical, the firms split the demand. If ? is the lowest price (in dollars), aggregate demand is ? = 250 − ?. Suppose prices can only be set in increments of 1 cent. (a) Suppose Firm 1 and Firm 2 have limited production capacities of 40 units each. The marginal cost of firm 1 is $35 and the marginal cost of firm 2 is $25. If Firm 1 believes that Firm 2 will set a price of $30, what price should Firm 1 set? Show your work. (Assume efficient rationing while calculating firm’s residual demand.) (b) Ignore the information in part (a). Suppose each firm has unlimited capacity, but that the marginal costs of Firm 1 and Firm 2 are $40 and $150 respectively. Do ?1 = 149.99 and ?2 = 150 satisfy the requirements of a Nash equilibrium? Explain why. You must explain why a strategy is a best response or not to the other strategy.
- Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be, P = 520 − Q , 50 where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $160 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be,P = 670 − Q/40,where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $190 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be,P = 670 − Q/40,where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $190 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…
- Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be,P = 670 − Q/40,where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $190 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be, P = 520 − Q , 50 where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $160 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be, P = 520 − Q , 50 where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $160 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…
- Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be,P = 670 − Q/40,where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $190 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be,P = 670 − Q/40,where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $190 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…Pre-mixed concrete is an important input for the construction industry. Concrete cannot be stored or transported over long distances as it begins to set after only a few hours. For this reason, only the three local firms—Aggregate Inc., Big Industries and ConCorp—are in a position to compete in the market. Moreover, the capital and regulatory requirements for constructing a new concrete plant are substantial, creating an effective barrier to entry. Pre-mixed concrete is regarded as a homogeneous good by the construction industry. Inverse demand in the market has been estimated to be,P = 670 − Q/40,where P represents the price of a cubic metre of concrete in dollars, and Q is the total number of cubic metres of concrete supplied into the market on a given day. At present the three firms appear have identical production costs, with each firm facing fixed costs of $400,000 per day and a marginal cost of $190 per cubic metre. Big Industries and ConCorp estimate that the proposed merger…