City A has a travel demand function q = 2.0 x 106 – 5000t, and road performance function 50 + 8 x 10-5q, where t is in minutes. There is a proposal to expand the road such tha %3D the road performance function will become t2 = 30 + 5 x 10-59, with a construction cos of $9.6 x 107.
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1: Given that the value of time is $1.5 per minute, justify the proposal.
2: To what value of the construction cost would the proposal become justified?
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- You have been asked to forecast the additional funds needed (AFN) for a firm, which is planning its operation for the coming year. The firm is operating at full capacity. Data for use in the forecast are shown below. However, the CEO is concerned about the impact of a change in the payout ratio from the 10% that was used in the past to 50%, which the firm's investment bankers have recommended. Based on the AFN equation, by how much would the AFN for the coming year change if the firm increased the payout from 10% to the new and higher level? All euros are in millions. Last year's sales = S0 €300.0 Last year's accounts payable €50.0 Sales growth rate = g 40% Last year's notes payable €15.0 Last year's total assets = A0* €500.0 Last year's accruals €20.0 Last year's profit margin = PM 20.0% Initial payout ratio 10.0% AFN = (A0*/S0)DS - (L0*/S0)DS - Profit margin ´ S1 ´ (1 -Payout)Consider the following data of a company for the year 1999:Sales = Rs. 1,20,000Fixed cost = Rs. 25,000Variable cost = Rs. 45,000Find the BEP.A cell phone company has a fixed cost of $1,000,000 per month and a variable cost of $22 per month per subscriber. The company charges $33 per month to its cell phone customers. a.What is the annual breakeven point for this company? b. The company currently has 95,000 subscribers and proposes to raise its monthly fees to $39.95, what is the new annual break-even point if the variable cost increases to $25 per customer per month? c.lf 20,000 subscribers will drop their services because of mönthly increase in part (b), will the company still be profitable?
- A machine used for cutting materials in a factory has the following outputs perhour at various speeds and required periodic tool regrinding at the intervals cited .Speed Output per hour Tool regrinding A 200 pieces Every 8 hours B 280 pieces Every 5 hours A set of tools costs P560 and can be ground twenty times. Each regrinding costs P54.00 and the time needed to regrind and change tools is 1 hour. The machine operator is paid P35.00 per hour including the time the tool is changed. The tool grinder who also sets the tools to the machine is paid P40.00 per hour. The hourly rate chargeable against the machine is P38.00, regardless of machine speed. Which speed is more economical? Speed B, PO.096/pc Speed B. PO.087/pc Speed A, P.054/pc Speed A, P.037/pcSmith Manufacturing is a major player in the lawn sprinkler business. Their high-end sprinkler is used commercially and is quite popular with golf course greens keepers. In producing these sprinklers Smith’s fixed cost (CF) is $50,000 per month with a variable cost (cv) of $10 per unit. The selling price for these high-end sprinklers is described by the equation p=$90 – 0.2(D). a) What is the optimal volume of sprinklers? b) Does Smith make a profit at that volume? Thank you.Top Gun Marketing, Inc., offers overhead banner fly-by promotion services using their Cessna aircraft and banner creation facilities. The Padres Island firm specializes in restaurant promotion via fly-bys at outdoor events and other high-traffic centers, where each 10-minute increment of advertising costs $400. Over the past year, the following relation between fly-by advertising and incremental restaurant guests per month has been observed: Sales (units) = 5,200 + 55A - 0.8A2 MP= 55 -1.6 A Here A represents a 10-minute fly-by advertisement, and sales are measured in number of restaurant guests. Pete Mitchel, manager for the Padres Island firm, has been asked to recommend an appropriate level of advertising. In thinking about this problem, Mitchel noted its resemblance to the optimal resource employment problem he had studied in a managerial economics course that was part of his MBA program. The advertising-sales relation could be thought of as a production function with advertising as…
- Smith Manufacturing is a major player in the lawn sprinkler business. Their high-end sprinkler is used commercially, and is quite popular with golf course greens keepers. In producing these sprinklers Smith’s fixed cost (CF) is $50,000 per month with a variable cost (cv) of $10 per unit. The selling price for these high-end sprinklers is described by the equation p=$90 – 0.2(D). a)What is the optimal volume of sprinklers? b)Does Smith make a profit at that volume?Product X is sold for $500 per unit. The total cost of production per year, including capital recovery and a return, is given by the expression TC = 0.04n3 − 700n + 50, 000 where n is the number of units sold. If TC represents the total of all fixed and variable costs, determine the following: a. The value of n that maximizes profit. b. The maximum profit for a year. c. The fixed cost per year.McBurger Inc., wants to redesign its kitchen to improve productivity and quality. Three designs,called B1, B2, and B3, are under consideration. No matter which design is used, daily demandfor sandwiches at a typical McBurger restaurant is 500 sandwiches. A sandwich costs 500 baizato produce. Non-defective sandwich sell, on average, for 1 OR per sandwich. Defective sandwichcannot be sold and are scrapped. The goal is to chose a design that maximizes the expected profitat a typical restaurant over a period of one year (365 days). Designs B1, B2, and B3 cost 40,0003OR, 50,000 OR, and 70,000 OR, respectively. Under design B1, there is 0.8 chance that 90 outof each 100 sandwiches are non-defective and 0.2 chance that 70 out of each 100 sandwiches arenon-defective. Under design B2, there is 0.85 chance that 90 out of each 100 sandwiches are nondefective and 0.15 chance that 75 out of each 100 sandwiches are non-defective. Under design B3,there is 0.9 chance that 95 out of each 100 sandwiches…
- Data for a new product that is very labor intensive introduced by Hicks Brothers in the operation in Hendersonville, TN, is given below. The average labor cost including overhead expenses is about $20 per hour. If production time required for the first unit is 10 hours, and the operation has a 95% learning curve, what is the cumulative (i.e. total) time for 10 units to be made? Group of answer choices 103.43 hrs 30.69 hrs 89.56 hrs 501.40 hrsA man is considering investing P500, 000 to open a semi-automatic auto-washing business in a city of 400, 000 population. The equipment can wash, on the average, 12 cars per hour, using two men to operate it and to do small amount of hand work. The man plans to hire two men, in addition to himself, and operate the station on an 8-hour basis, 6 days per week, 50 weeks per year. He will pay his employees P25. 00 per hour. He expects to charge P25. 00 for a car wash. Out-of-pocket miscellaneous cost would be P8, 500 per month. He would pay his employees for 2 weeks for vacations each year. Because of the length of his lease, he must write off his investment within 5 years. His capital now is earning 15%, and he is employed at a steady job that pays P25, 000 per month. He desires a rate of return of at least 20% on his investment. Would you recommend the investment? c) Solve for the payback period d) Solve for the IRRA man is considering investing P500, 000 to open a semi-automatic auto-washing business in a city of 400, 000 population. The equipment can wash, on the average, 12 cars per hour, using two men to operate it and to do small amount of hand work. The man plans to hire two men, in addition to himself, and operate the station on an 8-hour basis, 6 days per week, 50 weeks per year. He will pay his employees P25. 00 per hour. He expects to charge P25. 00 for a car wash. Out-of-pocket miscellaneous cost would be P8, 500 per month. He would pay his employees for 2 weeks for vacations each year. Because of the length of his lease, he must write off his investment within 5 years. His capital now is earning 15%, and he is employed at a steady job that pays P25, 000 per month. He desires a rate of return of at least 20% on his investment. Would you recommend the investment? a)Use present worth method b) Use future worth method c) Solve for the payback period d) Solve for the IRR