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- Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to $50 and a fixed cost of $22,500. You are asked to advise the CEO as to what prices and quantities BMW should set for sales in Europe and in the United States to maximize its profits. The demand for BMWS in each market is given by: QE = 8,000 - 80PE and Qu = 4,000 - 20 Pu, where the subscript E denotes Europe, the subscript U denotes the United States. Assume that BMW can restrict U.S. sales to authorized BMW dealers only. Support your answers %3D graphically as well. a. If, by an international agreement between Europe and United States, BMW were forced to charge the same price in each market, what would be the quantity sold in each market, the equilibrium price, and the company's profit? b. Suppose now that Europe and United States signed a new trade package under which BMW now can charge different prices across the two markets. What quantity of BMWS should the firm sell in each market, and what…Imagine that the cell-phone market is made up of one large firm that leads the industry and sets its own price first, while smaller firms in the industry follow. There are 20 such smaller firms, each with a supply function of q; = 67.50 + for i = 1,2, ..., 20 firms, while pis the per-unit price. Total market demand for cell phones is given by the function Q = 6, 700.00 – p. If the cost function for the leading firm is CL(qL) = 109L, calculate the following values: %3D Leading firm's production: q1 = (Round to two decimals if necessary.) Total follower firm production: qF = (Round to two decimals if necessary.) Equilibrium price: p = $ (Round to two decimals if necessary.)In Gas Pump, South Dakota, there are two kinds of consumers, Buick owners and Dodge owners. Every Buick owner has a demand function for gasoline DB(p)=20 − 5p for p ≤ 4and DB(p) = 0 if p> 4. Every Dodge owner has a demand function DD(p)= 15 − 3p for p ≤ 5 and DD(p) = 0 for p> 5. (Quantities are measured in gallons per week and price is measured in dollars.) Suppose that Gas Pump has 150 consumers, 100 Buick owners, and 50 Dodge owners.a. If the price is $3, what is the total amount demanded by each individual Buick Owner? And by each individual Dodge owner? What is the total amount demanded by all consumers in Gas Pump at a price of 3?b. Use ink to draw the demand curve representing the total demand by Buick owners on the graph. Use ink to draw the demand curve representing total demand by Dodge owners. Use ink to draw the market demand curve for the whole town. (make some labels)c. At what prices does the market demand curve have kinks? When the price of gasoline is $1 per…
- In Gas Pump, South Dakota, there are two kinds of consumers, Buick owners and Dodge owners. Every Buick owner has a demand function for gasoline DB(p)=20 − 5p for p ≤ 4and DB(p) = 0 if p> 4. Every Dodge owner has a demand function DD(p)= 15 − 3p for p ≤ 5 and DD(p) = 0 for p> 5. (Quantities are measured in gallons per week and price is measured in dollars.) Suppose that Gas Pump has 150 consumers, 100 Buick owners, and 50 Dodge owners.a. If the price is $3, what is the total amount demanded by each individual Buick Owner? And by each individual Dodge owner? What is the total amount demanded by all consumers in Gas Pump at a price of 3?b. Use ink to draw the demand curve representing the total demand by Buick owners on the graph. Use ink to draw the demand curve representing total demand by Dodge owners. Use ink to draw the market demand curve for the whole town. (make some labels)c. At what prices does the market demand curve have kinks? When the price of gasoline is $1 per…Consider two identical firms that face themarket demand p = 180 − q, where q = q_1 + q_2 is the total outputproduced by the two firms, and qi (i ∈ {1, 2}) is the output of firm i.The cost function of firm i is C_i(qi) = q_2i . Suppose, firm 1 chooses theprice p per unit of output first, and firm 2 will take the price p as givenand make its choice of output quantity q2.(a) Carefully write down Firm 2’s optimization problem and solve it.(b) Carefully write down Firm 1’s optimization problem and solve it.(c) What is the total output quantity produces by the two firms?Which profits will the firms make??[Suppose] A Cmpany is the sole provider of electricity in the various districts of Dubai. To meet the monthly demand for electricity in these districts, which is given by the inverse demand function: P = 1,200 − 4Q, the company has set up two electric generating facilities: Q1 kilowatts are produced at facility 1 and Q2 kilowatts are produced at facility 2; where Q = Q1 + Q2. The costs of producing electricity at each facility are given by C1(Q1) = 8,000 + 6Q1 C2(Q2) = 6,000 + 3Q2 + 5Q22 What is the MR function? What is the MC function of each facility? What is the MC function of the firm?
- [Suppose] A Cmpany is the sole provider of electricity in the various districts of Dubai. To meet the monthly demand for electricity in these districts, which is given by the inverse demand function: P = 1,200 − 4Q, the company has set up two electric generating facilities: Q1 kilowatts are produced at facility 1 and Q2 kilowatts are produced at facility 2; where Q = Q1 + Q2. The costs of producing electricity at each facility are given by C1(Q1) = 8,000 + 6Q1 C2(Q2) = 6,000 + 3Q2 + 5Q22 What is the MR function? What is the MC function of each facility? What is the MC function of the firm? Calculate the profit maximizing output levels of each factory? What is the profit maximizing level of price? What is the maximum profit?[Suppose] A Cmpany is the sole provider of electricity in the various districts of Dubai. To meet the monthly demand for electricity in these districts, which is given by the inverse demand function: P = 1,200 − 4Q, the company has set up two electric generating facilities: Q1 kilowatts are produced at facility 1 and Q2 kilowatts are produced at facility 2; where Q = Q1 + Q2. The costs of producing electricity at each facility are given by C1(Q1) = 8,000 + 6Q1 C2(Q2) = 6,000 + 3Q2 + 5Q22 Calculate the profit maximizing output levels of each factory? What is the profit maximizing level of price? What is the maximum profit?Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to$50 and a fixed cost of $22,500. You are asked to advise the CEO as to what prices andquantities BMW should set for sales in Europe and in the United States to maximize its profits.The demand for BMWs in each market is given by:QE = 8,000 – 80PE and QU = 4,000 – 20 PU,where the subscript E denotes Europe, the subscript U denotes the United States. Assume thatBMW can restrict U.S. sales to authorized BMW dealers only. Support your answersgraphically as well.a. If, by an international agreement between Europe and United States, BMW wereforced to charge the same price in each market, what would be the quantity sold in eachmarket, the equilibrium price, and the company’s profit?b. Suppose now that Europe and United States signed a new trade package under whichBMW now can charge different prices across the two markets. What quantity of BMWsshould the firm sell in each market, and what should the price be…
- Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to $20,000 and a fixed cost of $10 billion. You are asked to advise the CEO as to what prices and quantities BMW should set for sales in Europe and in the United States. The demand for BMWs in each market is given by QE = 4,000,000 - 100PE and Qu = 1,500,000 –- 20PU where the subscript E denotes Europe, the subscript U denotes the United States. Assume that BMW can restrict U.S. sales to authorized BMW dealers only. a. What quantity of BMWs should the firm sell in each market, and what should the price be in each market? What should the total profit be? (round dollar amounts to the nearest penny and quantities to the nearest integer) In Europe, the equilibrium quantity is cars at an equilibrium price of $ While in the United States, the equilibrium quantity is cars at an equilibrium price of $ BMW makes a total profit of SConsider any market that has a demand curve given by: Qd = 240 - 2P. Where Qd is the total quantity demanded in the market, given in millions of units and P is the market price, calculated in monetary units. Imagine that there are 2 Cournot oligopolists operating in this market with Cmg = CVme = 15 and fixed monthly costs equal to 1,400. About this market, ask yourself: a) What is the profit of each of the oligopolists? b) Imagine that one of the companies managed to implement a process innovation capable of halving its Cmg and CVme, so that they would go from 15 to 7.5. This investment implies an additional monthly expense of $1,800. Discuss the statement: "If this situation occurs, the innovative company will not implement variable cost reduction, as the quantity supplied in the market will increase very little; prices will remain very close to what they are today and its profits will not increase"n Gas Pump, South Dakota, there are two kinds of consumers, Buick owners and Dodge owners. Every Buick owner has a demand function for gasoline DB(p)=20 − 5p for p ≤ 4and DB(p) = 0 if p> 4. Every Dodge owner has a demand function DD(p)= 15 − 3p for p ≤ 5 and DD(p) = 0 for p> 5. (Quantities are measured in gallons per week and price is measured in dollars.) Suppose that Gas Pump has 150 consumers, 100 Buick owners, and 50 Dodge owners.a. If the price is $3, what is the total amount demanded by each individual Buick Owner? And by each individual Dodge owner? What is the total amount demanded by all consumers in Gas Pump at a price of 3?b. Use ink to draw the demand curve representing the total demand by Buick owners on the graph. Use ink to draw the demand curve representing total demand by Dodge owners. Use ink to draw the market demand curve for the whole town. (make some labels)c. At what prices does the market demand curve have kinks? When the price of gasoline is $1 per…