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Questions and Answers of Statistics

Formulate the Finnish Furniture situation (Problem 9-21) as a linear program and solve using computer software.
The state of Missouri has three major power-generating companies (A, B, and C). During the months of peak demand, the Missouri Power Authority authorizes these companies to pool their excess supply
Consider the transportation table given below. Find an initial solution using the northwest corner rule.What special condition exists? Explain how you will proceed to solve the problem.
The three blood banks in Franklin County are coordinated through a central office that facilitates blood delivery to four hospitals in the region. The cost to ship a standard container of blood from
Formulate the Franklin County Blood Bank situation (Problem 9-26) as a linear program and solve using computer software.
The B. Hall Real Estate Investment Corporation has identified four small apartment buildings in which it would like to invest. Mrs. Hall has approached three savings and loan companies regarding
Formulate the B. Hall Real Estate Investment Corporation problem (Problem 9-28) as a linear program and solve using computer software.
The J. Mehta Company's production manager is planning for a series of 1-month production periods for stainless steel sinks. The demand for the next 4 months is as follows: DEMAND
Formulate the J. Mehta production problem (See Problem 9-30) as a linear program and solve using computer software.
Ashley's Auto Top Carriers currently maintains plants in Atlanta and Tulsa that supply major distribution centers in Los Angeles and New York. Because of an expanding demand, Ashley has decided to
Formulate and solve linear programs to help Ashley's Auto Top Carriers (See Problem 9-32) determine where to open the new plant. How much difference in the costs for the two locations?
Marc Smith, vice president for operations of HHN, Inc., a manufacturer of cabinets for telephone switches, is constrained from meeting the 5-year forecast by limited capacity at the existing three
Don Levine Corporation is considering adding an additional plant to its three existing facilities in Decatur, Minneapolis, and Carbondale. Both St. Louis and East St. Louis are being considered.
Using the data from Problem 9-35 plus the unit production costs shown in the following table, which locations yield the lowest cost?LOCATION PRODUCTION COSTSDecatur ........... $50Minneapolis
In a job shop operation, four jobs may be performed on any of four machines. The hours required for each job on each machine are presented in the following table. The plant supervisor would like to
Four automobiles have entered Bubba's Repair Shop for various types of work, ranging from a transmission overhaul to a brake job. The experience level of the mechanics is quite varied, and Bubba
Baseball umpiring crews are currently in four cities where three-game series are beginning. When these are finished, the crews are needed to work games in four different cities. The distances (miles)
In Problem 9-39, the minimum travel distance was found. To see how much better this solution is than the assignments that might have been made, find the assignments that would give the maximum
Roscoe Davis, chairman of a college's business department, has decided to apply a new method in assigning professors to courses next semester. As a criterion for judging who should teach each course,
The hospital administrator at St. Charles General must appoint head nurses to four newly established departments: urology, cardiology, orthopedics, and obstetrics. In anticipation of this staffing
The Gleaming Company has just developed a new dishwashing liquid and is preparing for a national television promotional campaign. The firm has decided to schedule a series of 1-minute commercials
The Fix-It Shop has added a fourth repairman, Davis. Solve the accompanying cost table for the new optimal assignment of workers to projects. Why did this solutionoccur?
The Patricia Garcia Company is producing seven new medical products. Each of Garcia's eight plants can add one more product to its current line of medical devices. The unit manufacturing costs for
Haifa Instruments, an Israeli producer of portable kidney dialysis units and other medical products, develops an 8-month aggregate plan. Demand and capacity (in units) are forecast as shown in the
NASA's astronaut crew currently includes 10 mission specialists who hold a doctoral degree in either astrophysics or astromedicine. One of these specialists will be assigned to each of the 10 flights
The XYZ Corporation is expanding its market to include Texas. Each salesperson is assigned to potential distributors in one of five different areas. It is anticipated that the salesperson will spend
Andrew–Carter, Inc. (A–C), is a major Canadian producer and distributor of outdoor lighting fixtures. Its fixture is distributed throughout North America and has been in high demand for several
In 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
What is the minimal-spanning tree technique? What types of problems can be solved using this quantitative analysis technique?
Describe the steps of the maximal-flow technique.
Give several examples of problems that can be solved using the maximal-flow technique.
What are the steps of the shortest-route technique?
Describe a problem that can be solved by the shortest-route technique.
Is it possible to get alternate optimal solutions with the shortest-route technique? Is there an automatic way of knowing if you have an alternate optimal solution?
Describe how the maximal-flow problem is modeled as a transshipment problem.
Describe how the shortest-route problem is modeled as a transshipment problem.
Bechtold Construction is in the process of installing power lines to a large housing development. Steve Bechtold wants to minimize the total length of wire used, which will minimize his costs. The
The city of New Berlin is considering making several of its streets one-way. What is the maximum number of cars per hour that can travel from east to west? The network is shown inFigure.
Transworld Moving has been hired to move the office furniture and equipment of Cohen Properties to their new headquarters. What route do you recommend? The network of roads is shown inFigure.
Because of a sluggish economy, Bechtold Construction has been forced to modify its plans for the housing development in Problem 11-9. The result is that the path from node 6 to 7 now has a distance
Due to increased property taxes and an aggressive road development plan, the city of New Berlin has been able to increase the road capacity of two of its roads. The capacity along the road
The director of security wants to connect security video cameras to the main control site from five potential trouble locations. Ordinarily, cable would simply be run from each location to the main
One of our best customers has had a major plant breakdown and wants us to make as many widgets for him as possible during the next few days, until he gets the necessary repairs done. With our
Transworld Moving, like other moving companies, closely follows the impact of road construction to make sure that its routes remain the most efficient.Unfortunately, there has been unexpected road
Solve the minimal-spanning tree problem in the network shown in Figure. Assume that the numbers in the network represent distance in hundreds ofyards.
Refer to Problem 11-17. What impact would changing the value for path 6-7 to 500 yards have on the solution to the problem and the total distance?
The road system around the hotel complex on International Drive (node 1) to Disney World (node 11) in Orlando, Florida, is shown in the network of Figure. The numbers by the nodes represent the
A road construction project would increase the road capacity around the outside roads from International Drive to Disney World by 200 cars per hour (Problem 11-19). The two paths affected would be
Refer to Problem 11-19 and model this problem using linear programming. Solve it with any software.
In Problem 11-21, a linear program was developed for the road system at Disney World. Modify this linear program to make the changes detailed in Problem 11-20. Solve this problem and compare it to
Solve the maximal-flow problem presented in the network of Figure below. The numbers in the network represent thousands of gallons per hour as they flow through a chemical processingplant.
Two terminals in the chemical processing plant, represented by nodes 6 and 7, require emergency repair (Problem 11-23). No material can flow into or out of these nodes. What impact does this have on
Solve the shortest-route problem presented in the network of Figure 11.29 below, going from node 1 to node 16. All numbers represent kilometers between German towns near the BlackForest.
Due to bad weather, the roads going through nodes 7 and 8 have been closed (see Problem 11-25). No traffic can get onto or off of these roads. Describe the impact that this will have (if any) on the
Refer to Problem 11-25 and model this problem using linear programming. Solve it with any software.
In Problem 11-27, a linear program was developed for the shortest-route problem. Modify this linear program to make the changes detailed in Problem 11-26. Solve this problem and compare it to the
Grey Construction would like to determine the least expensive way of connecting houses it is building with cable TV. It has identified 11 possible branches or routes that could be used to connect the
In going from Quincy to Old Bainbridge, there are 10 possible roads that George Olin can take. Each road can be considered a branch in the shortest-route problem.(a) Determine the best way to get
South Side Oil and Gas, a new venture in Texas, has developed an oil pipeline network to transport oil from exploration fields to the refinery and other locations. There are 10 pipelines (branches)
The following table represents a network with the arcs identified by their starting and ending nodes. Draw the network and use the minimal-spanning tree to find the minimum distance required to
The network in Figure represents streets of a city with the indicated number of cars per hour that can travel these streets. Find the maximum number of cars that could travel per hour through this
Refer to Problem 11-33. How would the maximum number of cars be affected if the street from node 3 to node 6 were temporarily closed?
Use the shortest route algorithm to determine the minimum distance from node 1 to node 7 in Figure. Which nodes are included in this route?
Northwest University is in the process of completing a computer bus network that will connect computer facilities throughout the university. The prime objective is to string a main cable from one end
Bill Binder's business nearly went under when Colorado almost passed the bottle bill. Binder's Beverage produced soft drinks for many of the large grocery stores in the area. After the bottle bill
Southwestern University (SWU), located in the small town of Stephenville, Texas, is experiencing increased interest in its football program now that a big-name coach has been hired. The increase in
What are some of the questions that can be answered with PERT and CPM?
What are the major differences between PERT and CPM?
What is an activity? What is an event? What is an immediate predecessor?
Describe how expected activity times and variances can be computed in a PERT network.
Briefly discuss what is meant by critical path analysis. What are critical path activities, and why are they important?
What are the earliest activity start time and latest activity start time? How are they computed?
Describe the meaning of slack and discuss how it can be determined.
How can we determine the probability that a project will be completed by a certain date? What assumptions are made in this computation?
Briefly describe and how it is used.
Why is linear programming useful in CPM crashing?
Sid Davidson is the personnel director of Babson and Willcount, a company that specializes in consulting and research. One of the training programs that Sid is considering for the middle-level
Sid Davidson was able to determine the activity times for the leadership training program. He would like to determine the total project completion time and the critical path. The activity times
Jean Walker is making plans for spring break at the beaches in Florida. In applying techniques she learned in her quantitative methods class, she has identified the activities that are necessary to
The following are the activity times for the project in Problem 12-14. Find the earliest, latest, and slack times for each activity. Then find the critical path.ACTIVITY TIME (DAYS)A .......... 3B
Monohan Machinery specializes in developing weedharvesting equipment that is used to clear small lakes of weeds. George Monohan, president of Monohan Machinery, is convinced that harvesting weeds is
After consulting with Butch Radner, George Monohan was able to determine the activity times for constructing the weed-harvesting machine to be used on narrow rivers. George would like to determine
A project was planned using PERT with three time estimates. The expected completion time of the project was determined to be 40 weeks. The variance of the critical path is 9.(a) What is the
Tom Schriber, a director of personnel of Management Resources, Inc., is in the process of designing a program that its customers can use in the job-finding process. Some of the activities include
Using PERT, Ed Rose was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months and the project variance is 4.(a) What is the probability
The air pollution project discussed in the chapter has progressed over the past several weeks, and it is now the end of week 8. Lester Harky would like to know the value of the work completed the
Fred Ridgeway has been given the responsibility of managing a training and development program. He knows the earliest start time, the latest start time, and the total costs for each activity. This
General Foundry's project crashing data are shown in Table 12.9. Crash this project to 13 weeks using CPM.What are the final times for each activity after crashing?
Bowman Builders manufactures steel storage sheds for commercial use. Joe Bowman, president of Bowman Builders, is contemplating producing sheds for home use. The activities necessary to build an
The Bender Construction Co. is involved in constructing municipal buildings and other structures that are used primarily by city and state municipalities. This requires developing legal documents,
Dream Team Productions was in the final design phases of its new film, Killer Worms, to be released next summer. Market Wise, the firm hired to coordinate the release of Killer Worms toys, identified
The estimated times (in weeks) and immediate predecessors for the activities in a project are given in the following table. Assume that the activity times are independent.(a) Calculate the expected
The following costs have been estimated for the activities in a project:(a) Develop a cost schedule based on earliest start times.(b) Develop a cost schedule based on latest start times.(c) Suppose
The managing partner of the Scott Corey accounting firm has decided that the system must be up and running in 16 weeks. Consequently, information about crashing the project was put together and is
The L. O. Gystics Corporation is in need of a new regional distribution center. The planning is in the early stages of this project, but the activities have been identified along with their
After six months of study, much political arm wrestling, and some serious financial analysis, Dr. Martin Starr, president of Southwestern University, had reached a decision. To the delight of its
Dr. Adinombe Watage, deputy director of the Family Planning Research Center in Nigeria's Over-the-River Province, was assigned the task of organizing and training five teams of field workers to
What is the waiting line problem? What are the components in a waiting line system?
What are the assumptions underlying common queuing models?
Describe the important operating characteristics of a queuing system.

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