A library must build shelving to shelve 200 4-inch high books, 100 8-inch high books, and 80 12-inch high books. Each book is 0.5 inch thick. The library has several ways to store the books. For example, an 8-inch high shelf may be built to store all books of height less than or ...
10 Aug 2020At the beginning of year 1, a new machine must be purchased. The cost of maintaining a machine i years old is given in Table.Age at Beginning of YearMaintenance Cost for Next Year ($)038,000150,000297,0003182,0004304,000The cost of purchasing a machine at the 0beginning of each y...
10 Aug 2020It costs $40 to buy a telephone from the department store. Assume that I can keep a telephone for at most five years and that the estimated maintenance cost each year of operation is as follows: year 1, $20; year 2, $30; year 3, $40; year 4, $60; year 5, $70. I have just purchase...
10 Aug 2020Suppose it costs $10,000 to purchase a new car. The annual operating cost and resale value of a used car are shown in Table.Age of Car (Years)Resale Value (S)Operating Cost ($)17,000300 (year 1)26,000500 (year 2)34,000800 (year 3)43,0001,200 (year 4)52,0001,600 (year 5)61,0002,20...
10 Aug 2020Three fires have just broken out in New York. Fires 1 and 2 each require two fire engines, and fire 3 requires three fire engines. The “cost” of responding to each fire depends on the time at which the fire engines arrive. Let tij be the time (in minutes) when the jth engine arri...
10 Aug 2020A company can produce as many as 35 units/month. The demands of its primary customers must be met on time each month; if it wishes, the company may also sell units to secondary customers each month. A $1/unit holding cost is assessed against each month’s ending inventory. The rel...
10 Aug 2020A company is considering hiring people for four types of jobs. It would like to hire the number of people in Table for each type of job.Job1234Number of people30304020Four types of people can be hired by the company. Each type is qualified to perform two types of jobs according t...
10 Aug 2020A company produces cars in Atlanta, Boston, Chicago, and Los Angeles. The cars are then shipped to warehouses in Memphis, Milwaukee, New York City, Denver, and San Francisco. The number of cars available at each plant is given in Table.PlantCars AvailableAtlanta5,000Boston6,000Ch...
10 Aug 2020Oilco has oil fields in San Diego and Los Angeles. The San Diego field can produce 500,000 barrels per day, and the Los Angeles field can produce 400,000 barrels per day. Oil is sent from the fields to a refinery, either in Dallas or in Houston (assume that each refinery has unli...
10 Aug 2020Using the northwest corner method to find a bfs, find (via the transportation simplex) an optimal solution to the transportation (minimization) problem shown in Table 71.
10 Aug 2020Currently, State University can store 200 files on hard disk, 100 files in computer memory, and 300 files on tape. Users want to store 300 word-processing files, 100 packaged-program files, and 100 data files. Each month a typical word-processing file is accessed eight times; a t...
10 Aug 2020Sunco Oil produces oil at two wells. Well 1 can produce as many as 150,000 barrels per day, and well 2 can produce as many as 200,000 barrels per day. It is possible to ship oil directly from the wells to Sunco’s customers in Los Angeles and New York. Alternatively, Sunco could t...
10 Aug 2020The Chicago board of education is taking bids on the city’s four school bus routes. Four companies have made the bids in Table.BidsRouteRouteRouteRouteCompany12341$4,000$5,0002$4,0003$3,000$2,0004$4,000a Suppose each bidder can be assigned only one route. Use the assignment metho...
10 Aug 2020Greydog Bus Company operates buses between Boston and Washington, D.C. A bus trip between these two cities takes 6 hours. Federal law requires that a driver rest for four or more hours between trips. A driver’s workday consists of two trips: one from Boston to Washington and one ...
10 Aug 2020Tom Cruise, Freddy Prinze Jr., Harrison Ford, and Matt LeBlanc are marooned on a desert island with Jennifer Aniston, Courteney Cox, Gwyneth Paltrow, and Julia Roberts. The “compatibility measures” in Table indicate how much happiness each couple would experience if they spent al...
10 Aug 2020Doc Councillman is putting together a relay team for the 400-meter relay. Each swimmer must swim 100 meters of breaststroke, backstroke, butterfly, or freestyle. Doc believes that each swimmer will attain the times given in Table.Time (seconds)SwimmerFreeBreast FlyBackGary Hall54...
10 Aug 2020Machine Assignment ProblemMachineco has four machines and four jobs to be completed. Each machine must be assigned to complete one job. The time required to set up each machine for completing each job is shown in Table.Time (Hours)MachineJob 1Job 2Job 3Job 41145872212653783942461...
10 Aug 2020The following problems refer to the Powerco example.Two plants supply three customers with medical supplies. The unit costs of shipping from the plants to the customers, along with the supplies and demands, are given in Table.ToFromCustomer 1Customer 2Customer 3SupplyPlant 1$55$6...
10 Aug 2020Powerco has three electric power plants that supply the needs of four cities.† Each power plant can supply the following numbers of kilowatt-hours (kwh) of electricity: plant 1— 35 million; plant 2—50 million; plant 3—40 million (see Table).Shipping Costs, Supply, and Demand for ...
10 Aug 2020Use the minimum-cost method to find a bfs for Problems 4, 7, and 8:PROBLEMS 4Steelco manufactures three types of steel at different plants. The time required to manufacture 1 ton of steel (regardless of type) and the costs at each plant are shown in Table.Cost ($)TimePlantSteel 1...
10 Aug 2020Paperco recycles newsprint, uncoated paper, and coated paper into recycled newsprint, recycled uncoated paper, and recycled coated paper. Recycled newsprint can be produced by processing newsprint or uncoated paper. Recycled coated paper can be produced by recycling any type of p...
10 Aug 2020A hospital needs to purchase 3 gallons of a perishable medicine for use during the current month and 4 gallons for use during the next month. Because the medicine is perishable, it can only be used during the month of purchase. Two companies (Daisy and Laroach) sell the medicine....
10 Aug 2020A company supplies goods to three customers, who each require 30 units. The company has two warehouses. Warehouse 1 has 40 units available, and warehouse 2 has 30 units available. The costs of shipping 1 unit from warehouse to customer are shown in Table.TOFromCustomer 1Customer ...
10 Aug 2020Statewide Development Corporation has built a very large apartment complex in Gainesville, Florida. As part of the student-oriented marketing strategy that has been developed, it is stated that if any problems with plumbing or air conditioning are experienced, a maintenance perso...
10 Aug 2020Clark Property Management is responsible for the maintenance, rental, and day-to-day operation of a large apartment complex on the east side of New Orleans. George Clark is especially concerned about the cost projections for replacing air conditioner compressors. He would like to...
10 Aug 2020A CEO faces a tough human resources decision. Because the company is currently operating in a budgetary crisis, the CEO will either lay off 1,000 people, lay off 5,000 people, or lay off no one. One of the problems for the CEO is that she cannot foretell what the business climate...
10 Aug 2020The introduction of a new product into the marketplace is quite risky. The percentage of new product ideas that successfully make it into the marketplace is as low as 1%. Research and development costs must be recouped, along with marketing and production costs. However, if a new...
10 Aug 2020Compare and contrast the deontological ethical decision-making approach, and the consequentialist ethical decision-making approach. In comparing and contrasting these two approaches, make sure you do the following:Briefly explain each of the ethical decision-making approaches;Dis...
10 Aug 2020The tar content in 30 samples of cigar tobacco follows: (a) Is there evidence to support the assumption that the tar content is normally distributed? (b) Find a 99% CI on the mean tar content. (c) Find a 99% prediction interval on the tar content for the next observation tha...
10 Aug 2020The sugar content of the syrup in canned peaches is normally distributed. A random sample of n = 10 cans yields a sample standard deviation of s = 4.8 milligrams. Find a 95% two-sided confidence interval for σ.
10 Aug 2020The maker of a shampoo knows that customers like this product to have a lot of foam. Ten sample bottles of the product are selected at random and the foam heights observed are as follows (in millimeters): 210, 215, 194, 195, 211, 201, 198, 204, 208, and 196. (a) Is there evidenc...
10 Aug 2020The breaking strength of yarn used in manufacturing drapery material is required to be at least 100 psi. Past experience has indicated that breaking strength is normally distributed and that s = 2 psi. A random sample of nine specimens is tested, and the average breaking strength...
10 Aug 2020Suppose that in Exercise 8-13 it is desired to estimate the compressive strength with an error that is less than 15 psi at 99% confidence. What sample size is required?
10 Aug 2020Suppose that in Exercise 8-12 we wanted to be 95% confident that the error in estimating the mean life is less than five hours. What sample size should be used?
10 Aug 2020Suppose that in Exercise 8-12 we wanted the total width of the two-sided confidence interval on mean life to be six hours at 95% confidence. What sample size should be used?
10 Aug 2020How large a sample would be required in Exercise 8-42 to be at least 95% confident that the error in estimating the 10-year death rate from lung cancer is less than 0.03?
10 Aug 2020For a normal population with known variance s2, answer the following questions: (a) What is the confidence level for the interval x – 2.14s/vn? (b) What is the confidence level for the interval x – 2.149s/vn? (c) What is the confidence level for the interval x – 1.85s/vn?
10 Aug 2020Determine the values of the following percentiles: X20.05,10, X20.025,15, X20.095,20, X20.099,18, X20.995,16, and X20.005,25,
10 Aug 2020Consider a two-sided confidence interval for the mean µ when s is known; Where a1 a2 = a. If a1 = a2 = a/2, we have the usual 100(1 – a) % confidence interval for µ. In the above, When a1 ? a2 , the interval is not symmetric about µ. The length of the interval is L = s(za...
10 Aug 2020Compute a 99% tolerance interval on the brightness of the television tubes in Exercise 8-24 that has confidence level 95%. Compare the length of the prediction interval with the length of the 99% CI on the population mean. Which interval is shorter? Discuss the difference in inte...
10 Aug 2020An operating system for a personal computer has been studied extensively, and it is known that the standard deviation of the response time following a particular command is s = 8 milliseconds. A new version of the operating system is installed, and we wish to estimate the mean re...
10 Aug 2020An article in Nuclear Engineering International (February 1988, p. 33) describes several characteristics of fuel rods used in a reactor owned by an electric utility in Norway. Measurements on the percentage of enrichment of 12 rods were reported as follows: (a) Use a normal pr...
10 Aug 2020A rivet is to be inserted into a hole. A random sample of n = 15 parts is selected, and the hole diameter is measured. The sample standard deviation of the hole diameter measurements is s = 0.008 millimeters. Construct a 99% lower confidence bound for σ2.
10 Aug 2020A research engineer for a tire manufacturer is investigating tire life for a new rubber compound and has built 16 tires and tested them to end-of-life in a road test. The sample mean and standard deviation are 60,139.7 and 3645.94 kilometers. Find a 95% confidence interval on mea...
10 Aug 2020A manufacturer of electronic calculators is interested in estimating the fraction of defective units produced. A random sample of 800 calculators contains 10 defectives. Compute a 99% upper-confidence bound on the fraction defective.
10 Aug 2020Using the data from Problem 9-35 plus the unit production costs shown in the following table, which locations yield the lowest cost? LOCATION PRODUCTION COSTS Decatur ……………………………$50 Minneapolis ……………………… 60 Carbondale ………………………. 70 East St. Louis ……………………. 40 St. Louis …………...
10 Aug 2020The personnel director of Dollar Finance Corp. must assign three recently hired college graduates to three regional offices. The three new loan officers are equally well qualified, so the decision will be based on the costs of relocation the graduates families. Cost data are pres...
10 Aug 2020The management of the Executive Furniture Corporation decided to expand the production capacity at its Des Moines factory and to cut back production at its other factories. It also recognizes a shifting market for its desks and revises the requirements at its three warehouses. (...
10 Aug 2020The Jessie Cohen Clothing Group owns factories in three towns (W, Y and Z) which distribute to three Cohen retail dress shops (in A, B, and C). Factory availabilities, projected store demands, and unit shipping costs are summarized in the table that follows: Use the northwes...
10 Aug 2020In 1992, George Brown started the Old Oregon Wood Store to manufacture Old Oregon tables. Each table is carefully constructed by hand using the highest-quality oak. Old Oregon tables can support more than 500 pounds, and since the start of the Old Oregon Wood Store, not one table...
10 Aug 2020
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