demand function for a firm's domestic and foreign markets are: AT) (5.4) P¡ = 50 - 401 Pa=40- 5Q2 and the total cost function is: TC= 25 + 120, where Q = Qi + Q. a/ Determine
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A10.
The demand function for a firm's domestic and foreign
markets are:
AT) (5.4)
P¡ = 50 - 401
Pa=40- 5Q2
and the total cost function is:
TC= 25 + 120, where Q = Qi + Q.
a/ Determine the prices needed to maximize profit with and without
discrimination;
b/ Find the maximum profit values in these two cases and give your comment.
Step by step
Solved in 3 steps with 5 images
- The demand function for a firm's domestic and foreignmarkets are:AT) (5.4)P¡ = 50 - 401Pa=40- 5Q2and the total cost function is:TC= 25 + 120, where Q = Qi + Q.a/ Determine the prices needed to maximize profit with and without pricediscrimination;b/ Find the maximum profit values in these two cases and give your comment.Discuss the importance of price elasticity of demand, income elasticity of demand and cross price elasticity of demand to a sales manager selling soft drinks like Coca Cola If a firm faces the Marginal Cost schedule MC = 180 + 0.3Q2 and the MR schedule is MR = 540 = 0.6Q2 and that Total Fixed costs are $65. What is the maximum profit it can make? Assume that the second-order condition for maximum is metSuppose 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…
- please solve question 4- Prove that total revenue is maximized for a linear demand function, P = a - bQ point where Q = a / 2 * b . - Minimize the following cost function: TC = 1/3 * Q ^ 3 - 8.5Q ^ 2 + 60Q + 27You own a private parking lot near shard building with a capacity of 600 cars. The demand for parking at this lot is estimated to be Q=1,000 - 2P, where Q is the number of customers with monthly parking passes and P is the monthly parking fee per car. Derive your marginal revenue schedule. What price generates the greatest revenues? Your fixed costs of operating the parking lot, such as the monthly lease paid to the landlord are £25,000 per month. In addition, your insurance company charges you £20 per car per month for liability coverage and the shard building charges you £30 per car per month as part of its policy to discourage the use of private cars in the city centre. What is your profit maximising price?According to International Data Corporation (IDC), the number of worldwide smartphone owners will soon exceed 1.5 billion. That number is expected to grow at nearly 10 percent per year for the next five years. While the actual cost of a smartphone is about $300, wireless carriers in some countries offer their customers a “free” smartphone with a two-year wireless service agreement. Is this pricing strategy rational? Explain
- James mainly sells confectionery items, newspapers, magazines and cigarettes in his convenience store. Noting his small business is not thriving, he thought of selling hot pies and rolls too. Suppose the total cost function for rolls and pies is, TC = 900 + 50Q, Q = Q1 + Q2 Where Q1 and Q2denote the quantities of rolls and pies respectfully. If P1 and P2 denote the corresponding prices, the inverse demand equations are. Q1 = 70 - P1 and 0.5Q2 = 100 - P2 a)If James decides to make a total of 48 rolls and pies per day and charges different prices as above (that is, P1 ≠ P2 ), how many of rolls and pies each should he make in order to maximize the profit of a particular day? Estimate and interpret the Lagrange Multiplier λ [note: assume second-order conditions are satisfied]. b)Using your knowledge of input-output tables, explain which components of the economy will be affected if all convenience stores, including James’, closed down for three months due to the COVID-19. What would…Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to $20,00 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 equilibrium quantity is 1,000,000 cars at an equilibrium price of $30,000 In United States equilibrium quantity is 550,000 cars at an equilibrium price of $47,500 BMW makes a total profit of $15.125 billion. I Need help with this part: If BMW were forced…Suppose that BMW can produce any quantity of cars at a constant marginal cost equal to $20,00 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 equilibrium quantity is 1,000,000 cars at an equilibrium price of $30,000 In United States equilibrium quantity is 550,000 cars at an equilibrium price of $47,500 BMW makes a total profit of $15.125 billion. I Need help with this part: If BMW were forced…
- [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 Calculate the profit maximizing output levels of each factory?[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?