A manufacturer of wool roving has determined that the highest price per unit that can be charged to sell q ounces of wool roving is D(q) = p = 50 – 0.25q It costs C(q) = 100 + 5q² %3! to manufacture q ounces of wool roving. The manufacturer can produce between 0 and 4,000 ounces of roving. What is the profit function for this manufacturer?
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- A specialized auto part manufacturer, XYZ Auto Parts, is bring threatened by heavy competition and is reviewing alternate pricing strategies that would help it to break-even in this tight market place. Their product currently sells for $25 per part with each unit costing $15 each for material and labor. The fixed costs are $50,000 annually. In order to break even, XYZ Auto Parts would need to sell ________ unitsSpinners World is a fitness equipment company that manufactures spin bikes.The market research department recommends that the company manufacture a new model of spin bikes and presents the following demand equation x = 35000-50p, where x is the demand at $p per bike. (a) Solve the demand equation for p. The financial department also provides the cost function C(x)= 8,000+200x. (b) Analyse the revenue and profit function to produce x bikes while Identifying what the marginal revenue and the marginal profit equation signifies. (c) Determine the exact and approximate revenue from manufacturing the 31st spin bike.A company manufactures Products A, B, and C. Each product is processed in three departments: I, II, and III. The total available labor-hours per week for Departments I, II, and III are 1020, 1080, and 900, respectively. The time requirements (in hours per unit) and the profit per unit for each product are as follows. Product A Product B Product C Dept. I 2 1 2 Dept. II 3 1 2 Dept. II 2 2 1 Profit $18 $12 $15 If management decides that the number of units of Product B manufactured must equal or exceed the number of units of products A and C manufactured, how many units of each product should the company produce to maximize its profit?
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- You have been promoted to be the new manager of Nefertiti Hotel, and you must decide where to build a new hotel. The finance department believes that Morocco is the better option due to the tax benefits of $5 million, while the marketing department estimates the present value of gross operating profits to be only $10 million in Morocco compared to $14 million in Tunisia. If it costs $15 million to build the hotel in either location, would it be more profitable to build in Morocco or Tunisia? If the hotel is located in Morocco, what would the firm's economic profits be?compute, show solution, explainThe timber rights to a tract of forest can be purchased for $250,000. The harvesting agreement would allow 25% of the timber to be cut in each of the first, second, fourth, and fifth years. The purchaser of the timber rights would be required to replant, at its expense, the logged areas in Years 3 and 6. Arrowsmith Lumber calculates that its profit in each of the four cutting years would be $90,000 and that the cost of replanting the harvested areas in each of Years 3 and 6 would be $30,000.a) Should Arrowsmith Lumber buy the timber rights if its cost of capital is 5.5%?b) By what amount would the economic value of Arrowsmith Lumber be increased or decreased if it proceeded with purchasing the timber rights for $250,000?Bosch claims to be the leader in terms of energy efficiency in the washing machine market and produces a special-design motor that is used in the manufacturing of its washing machines. The market demand and the total cost for Bosch’s washing machines are estimated as follows: P = 3,200 – 0.20Q TCwashing machine = 60,000 + 1,280 Q + TCMotor In this equation, Q is the number of washing machines sold per month, P is the TL price of washing machines, TCMotor is Bosch’s total cost of manufacturing the special-design motors in TL. In addition, TCMotor is estimated to be TL160 per motor without any additional fixed costs. a. As a result of its special design, the motors can be used only in the manufacturing of Bosch washing machines with no external market. Determine the profit-maximizing number of washing machines Bosch should manufacture and sell. Explicitly state the transfer price that Arçelik should set for the special-design motors.