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
- 2. You are the Southeastern Michigan regional manager at Coca-Cola, responsible forproduction and pricing in the Metro Detroit area. Your primary competitor is Pepsi. The marketresearch team at Coca-Cola is thinking about launching a new product, Orange Vanilla Coke, toboost the brand. The cost function to produce a 12-pack of 12 fl. oz. cans of Orange VanillaCoke is C(qcoke) = 0.25qcoke and the market research team has estimated inverse market demandfor a 12-pack of this new “pop” in Southeastern Michigan to be P = 10.25 – 0.00025Q. a. Assuming Pepsi decides not to produce a similar product, allowing Coca-Cola to maintainmonopoly power in the market for orange vanilla cola, what price and quantity will youchoose to maximize profit? How much profit does Coca-Cola earn?b. What price and quantity you would choose to maximize profit if Pepsi spies discover yourproduct before launch, allowing Pepsi to produce and launch an identical product at the sametime. For your answer, assume the cost…Given Question #1 Cost function C= 3000+6Q Q = 4400 - 200Q - This is the demand function Q= 1600 P = 14 Profit= 22400-12600 = 9800 Question #2 Q=$480 - L Q=$1120- SA Question #3 Ed=−1.25 - L Ed=−0.55 - SA 0.5<0.8− markup index it is charging less. - L 0.64<-1/-0.55--markup index it is charging less. - SA Please answer question #5 A-C Given Question #2 Demand Function for San Antiono - Q=$1120- SA Question #3 Elasticity of Demand - Ed=−0.55 Markup - 0.64<-1/-0.55--markup index it is charging lessA local company is planning to manufacture and market a four-slice toaster. For this toaster, the research department’s estimates are aweekly demand of 300 toasters at a price of $25 per toaster and a weekly demand of 400 toasters at a price of $20. The financial department’s estimates are fixed weekly costs of$5,000 and variable costs of $5 per toaster. a) Assume that the relationship between price ? and demand ? is linear. Use the research department’s estimates to express ? as a function of ? and determine the domain of the function. b) Using your knowledge from Finite Math, determine the Revenue function in terms of ?. c) Determine the Marginal Revenue at 2 different production levels for example 250 and 500 units. Interpret these results. (HINT: Consider what a positive or negative first derivative implies) d) Assume that the cost function is linear. Use the financial department’s estimates to express the cost function interms of ?. e) Determinethe Marginal costand interpret the…
- 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…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.4. Windies Cricket manufactures Windies supporter jerseys. The quantity q, of these jerseys demanded weekly is related to the wholesale price per jersey p, by the following equation: p=-0.006q+15 The weekly total cost incurred by Windies Cricket for producing q jerseys is: C(q) = 38q0.02q² + 30,000 a. Determine an expression to represent the weekly Revenue function. b. Determine an expression to represent the weekly Profit function. c. Calculate the weekly Revenue when ten dozen jerseys are produced and sold.
- Y6 Suppose that a market consists of 300 identical firms, all with the same cost curve: TC(4) = 0.1 + 150g?. The market demand is given by Qd(p) = 60 - p (a) What is the equilibrium price and quantity? (b) What quantity must each firm produce and sell at equilibrium? (c) Do firms make positive profits in the market equilibrium? (d) Calculate consumers' surplus, producers' surplus and total surplus.5. Suppose the demand for crude oil is given by the function: Q = -2000P + 70,000 where Q is quantity of oil in thousands of barrels and P is price per barrel of oil. Suppose there are 1000 identical small crude oil producers each with marginal cost MC = Q + 5 Where Q is the output of the typical firm: a) Derive the market supply curve and the equilibrium price and quantity b) Suppose a practically infinite supply of crude oil is discovered in North- Eastern Province (NEP) by a would-be price-leader and that the oil can be produced at constant average and marginal cost of Kshs.15 per barrel. If the supply behavior of the competitive firm described above is not changed by this discovery, how much should the price leader produce in order to maximize profits? c) What price and quantity will now prevail in the oil market? d) Graph (sketch) the results obtained above and show whether the consumer surplus increases as a result of the North-Eastern Province oil discovery? Indicate how the…Suppose that the firm with the costs and revenues shown in the graph below is contemplating whether or not to produce 12 units of output. If it were to produce this many units, what (if anything) would happen to the market price? What would be the firm's marginal revenue for the 12th unit produced? What would be the firm's total revenues per hour? Price and Marginal Cost ($ per unit) $6 E MC 10 11 12 13 14 Output (units per hour) Answer: This firm is in relation to the industry as a whole that its production market price, which would , so its output rate is influence the $6 per unit. The market price the firm's marginal revenue, which therefore would be MR unit. The firm's hourly total revenues if it were to produce 12 units would be TR $72. + $6 per 4
- 3. The demand function for Product X is Q = 100 – 2P. The company decided to set the price per product at $15. Is $15 the optimal price to charge to maximize revenues? What is the optimal price? -3. Suppose that for a product in a competitive market the demand function is p function is p = 200 + 2x, where x is the number of units and p is in dollars. A firm's average cost function for this product is C(x) = = 1200 – 2x and the supply 12000 + 50 + x. Find the maximụm profit. Sketch the graphs of the revenue, cost and profit functions on the same set of coordinate axes. (Hint: First find the equilibrium quantity and equilibrium price by equalizing the functions of supply and demand.) [P(x) = R(x) – C(x) = p· x – C(x) · x, where p equilibrium price.]4 Suppose market demand for mobile operators is expressed by Q=90-3P where Q is measured by calls in hours. There are three firms that supply the market: TRCell,VFone, and Avea .Avea provide hourly calls at a unit cost of 20$, where as TRCell& VFone has a unit cost equal to 10 Suppose firms are competing in price( no capacity constraints ) a) What is the market price? Why? b) How much does each firm sell in Bertrand equilibrium? c) What are firms’ profits? d)Is there any way for all firms to get higher profits