You are the sole producer of a novel polymer that has the potential to transform a number of other industries: synthetic clothing, medical devices, and sports equipment, for example. You have a patent on the chemical structure for this polymer for nine more years. From the entirety of industries that will use your product, you face a demand curve given by P = 400-10Q. (Units are in thousands of tons produced per year.) Your marginal cost curve is given by MC = 5+ 15Q. A. Identify the quantity at which you'll want to produce, Q', to maximize profit. (Round down to the nearest thousand tons of production.)
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- |1.6.1 A company manufactures and sells x dellphones per week. The weekly price-demand and cost equations are given below. p= 400 - 0.5x and C(x) = 20,000 + 140x (A) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the maximum weekly revenue? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly revenue is $ (Round to the nearest cent as needed.) (B) What price should the company charge for the phones, and how many phones should be produced to maximize the weekly profit? What is the maximum weekly profit? The company should produce (Round to the nearest cent as needed.) phones each week at a price of $ The maximum weekly profit is $ (Round to the nearest cent as needed.)Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) b. consider two cases: (i) Company is effectively able to price discriminate in thetwo markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging thesameprice in the two markets what are the profit maximizing levels of price,output, and the total profits? c. Analyze, with graphs, the two alternative pricing strategies available to the company.Igrushka is a profit-maximizing firm producing wooden dolls-a capital-intensive good-which are sold in its home country, Russia, and abroad in France. Igrushka chose foreign production as a method of penetrating the French market and has to decide whether it is more efficient to directly invest in France to establish a production subsidiary or to license the technology to a French firm to produce its goods. On the following graph, AVCFrance is the average variable cost curve of a French firm producing wooden dolls. (This curve represents costs such as labor and materials.) The curve ATCSubsidiary represents the total unit costs Igrushka will face if it establishes a subsidiary in France. PER-UNIT COST (Dollars) 10 9 8 1 0 0 ATC 15 Subsidiary 30 45 60 75 90 105 120 PRODUCT (Thousands) AVC France 135 150 ? 4
- Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) A.Determine the company’s total profit function. Also, (i) What are the profit maximizing levels of price and output for the two markets? (ii) Calculate the marginal revenues in each market. B.Now consider two cases: (i) Company is effectively able to price discriminate in thetwo markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging thesameprice in the two markets what are the profit maximizing levels of price,output, and the total profits?…Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) (i) Company is effectively able to price discriminate in the two markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging the same price in the two markets what are the profit maximizing levels of price, output, and the total profits? (iii) Analyze, with graphs, the two alternative pricing strategies available to the company.Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) a. Determine the company’s total profit function. Also, (i) What are the profit maximizing levels of price and output for the two markets? (ii) Calculate the marginal revenues in each market.
- Road Runner Co is a Pakistani manufacturer making Bicycles. It exports to two markets,Bangladesh and Sri Lanka. Demand for Bicycles in thesetwo markets is given by the following Functions: Bangladesh Q1 = 12 – P1 Sri Lanka Q2 = 8 – P2 Where Q1 and Q2 are respective quantities sold (in thousands) andP1 and P2 are the respective prices (in Pak. Rupees per unit) in the two markets. Total cost function is C = 5 + 2 (Q1+ Q2) Determine the company’s total profit function. Also, (i) What are the profit maximizing levels of price and output for the two markets? (ii) Calculate the marginal revenues in each market. Now consider two cases: (i) Company is effectively able to price discriminate in thetwo markets. What will be the total profits? (ii) Suppose the company does not engage in price discrimination. By charging thesameprice in the two markets what are the profit maximizing levels of price,output, and the total profits?…Round off your final answer to whole #. A company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is 2700 5,000 p=47 + -forD>1 D D² The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $39 per unit. What is the number of units that should be produced and sold each month to maximize profit?A new production technology for making vitamins is invented by a college professor who decides not to patent it. Thus, it is available for anybody to copy and put into use. The TC per bottle for production up to 100,000 bottles per day is given in the following table a. What is ATC for each level of output listed in the table? b. Suppose that for each 25,000-bottle-per-day increase in production above 100,000 bottles per day, TC increases by $5,000 (so that, for instance, 125,000 bottles per day would generate total costs of $85,000 and 150,000 bottles per day would generate total costs of $90,000). Is this a decreasingcost industry? c. Suppose that the price of a bottle of vitamins is $1.33 and that at that price the total quantity demanded by consumers is 75,000,000 bottles. How many firms will there be in this industry? d. Suppose that, instead, the market quantity demanded at a price of $1.33 is only 75,000. How many firms do you expect there to be in this industry? e. Review your…
- A new production technology for making vitamins is invented by a college professor who decides not to patent it. Thus, it is available for anybody to copy and use. The TC per bottle for production up to 100,000 bottles per day is given in the following table. Output 25,000 50,000 75,000 100,000 TC $85,000.00 105,000.00 110,000.00 115,000.00 ATC Instructions: In part a, round your answers to 2 decimal places. In parts cand d enter your answers as a whole number. a. What is ATC for each level of output listed in the table? Enter your answers in the table above. b. Suppose that for each 25,000-bottle-per-day Increase in production above 100,000 bottles per day, TC increases by $5,000 (so that, for instance, 125,000 bottles per day would generate total costs of $120,000 and 150,000 bottles per day would generate total costs of $125,000). Are there economies of scale at all levels of output? (Click to select) c. Suppose that the price of a bottle of vitamins is $2.03. At that price, the…2. A refrigerator manufacturer is planning capacity expansions. They have determined that their capacity cost follows the equation below, where f(y) = kya, is the cost of a plant that can produce y units annually. f(y) = 0.0107y⁰.62 They have determined that when a = 0.62, using a = u/(e" - 1) gives a value u = 0.89. Their demand for refrigerators is growing at a rate of 5000 units annually, and they use a 16% interest rate for discounting. At the optimal capacity addition level, what does each capacity installation cost?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…