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Introduction to Management Science 11th Edition Bernard W. Taylor - Solutions
The Bunker Manufacturing firm has five employees and six machines and wants to assign the employees to the machines to minimize cost. A cost table showing the cost incurred by each employee on each machine follows:Because of union rules regarding departmental transfers, employee 3 cannot be
Given the following cost table for an assignment problem, determine the optimal assignment and compute total minimumcost:
A dispatcher for Citywide Taxi Company has six taxicabs at different locations and five customers who have called for service. The mileage from each taxi€™s present location to each customer is shown in the following table:Determine the optimal assignment(s) that will minimize the total
The Southeastern Conference has nine basketball officials who must be assigned to three conference games, three to each game. The conference office wants to assign the officials so that the total distance they travel will be minimized. The distance (in miles) each official would travel to each game
State University has planned six special catered events for the Saturday of its homecoming football game. The events include an alumni brunch, a parents€™ brunch, a booster club luncheon, a postgame party for season ticket holders, a lettermen€™s dinner, and a fund-raising
The coach of the women€™s swim team at State University is preparing for the conference swim meet and must choose the four swimmers she will assign to the 800-meter medley relay team. The medley relay consists of four strokes€”backstroke, breaststroke, butterfly, and freestyle.
Carolina Airlines, a small commuter airline in North Carolina, has six flight attendants that it wants to assign to six monthly flight schedules in a way that will minimize the number of nights they will be away from their homes. The numbers of nights each attendant must be away from home with each
Kathleen Taylor is a freshman at Roanoke College, and she wants to develop her schedule for the spring semester. Courses are offered with class periods either on Monday and Wednesday or Tuesday and Thursday for 1 hour and 15 minutes duration, with 15 minutes between class periods. For example, a
CareMed, an HMO health care provider, operates a 24-hour outpatient clinic in Draperton, near the Tech campus. The facility has a medical staff with doctors and nurses who see regular local patients according to a daily appointment schedule. However, the clinic sees a number of Tech students who
The MidSouth Trucking Company based in Nashville has eight trucks located throughout the East and Midwest that have delivered their loads and are available for shipments. Through their Internet logistics site MidSouth has received shipping requests from 12 customers. The following table shows the
In Problem 66, assume that the customers have the following truck capacity percentage loads:Determine the optimal assignment of trucks to customers that will minimize total mileage while also achieving at least an average truck load capacity of 85%. Does this load capacity requirement significantly
The Hilton Island Tennis Club is hosting its annual professional tennis tournament. One of the tournament committee€™s scheduling activities is to assign chair umpires to the various matches. The tennis association rates chair umpires from 1 (best) to worst (4) based on experience,
The National Collegiate Lacrosse Association is planning its annual national championship tournament. It selects 16 teams from conference champions and the highest ranked at-large teams to play in the single-elimination tournament. The teams are ranked from 1 (best) to 16 (worst), and in the first
Given the following network with the indicated distances between nodes (in miles), determine the shortest route from node 1 to each of the other six nodes (2, 3, 4, 5, 6, and7):
Frieda Millstone and her family live in Roanoke, Virginia, and they are planning an auto vacation across Virginia, their ultimate destination being Washington, DC. The family has developed the following network of possible routes and cities to visit on their trip:The time, in hours, between cities
The Roanoke, Virginia, distributor of Rainwater Beer delivers beer by truck to stores in six other Virginia cities, as shown in the following network:The mileage between cities is shown along each branch. Determine the shortest truck route from Roanoke to each of the other six cities in thenetwork.
The plant engineer for the Bitco manufacturing plant is designing an overhead conveyor system that will connect the distribution/inventory center to all areas of the plant. The network of possible conveyor routes through the plant, with the length (in feet) along each branch, follows:Determine the
The Burger Doodle restaurant franchises in Los Angeles are supplied from a central warehouse in Inglewood. The location of the warehouse and its proximity, in minutes of travel time, to the franchises are shown in the following network:Trucks supply each franchise on a daily basis. Determine the
The Petroco gasoline distributor in Jackson, Mississippi, supplies service stations in nine other southeastern cities, as shown in the following network:The distance, in miles, is shown on each branch. Determine the shortest route from Jackson to the nine other cities in thenetwork.
The Hylton Hotel has a limousine van that transports guests to various business and tourist locations around the city. The following network indicates the different routes the limousine could follow from the hotel at node 1 to the nine locations (nodes 2 through 10):The values on each branch in the
A steel mill in Gary supplies steel to manufacturers in eight other midwestern cities by truck, as shown in the following network:The travel time between cities, in hours, is shown along each branch. Determine the shortest route from Gary to each of the other eight cities in thenetwork.
Determine the shortest route from node 1 (origin) to node 12 (destination) for the following network. Distances are given along the networkbranches:
The members of the Vistas Club are planning a month long hiking and camping trip through the Blue Ridge Mountains, from north Georgia to Virginia. There are a number of trails through the mountains that connect at various campgrounds, crossings, and cabins. The following network shows the different
John Clooney, a bush pilot in Alaska, makes regular charter flights in his floatplane to various towns and cities in western Alaska. His passengers include hunters, fishermen, backpackers and campers, and tradespeople hired for jobs in the different localities. He also carries some cargo for
From 1840 to 1850, more than 12,000 pioneers migrated west in wagon trains. It was typically about a 2,000-mile journey, and pioneers averaged about 10 miles per day. One pioneer family, the Smiths, is planning to join a wagon train traveling west to Oregon. The destination is Fort Vancouver, which
A new police car costs the Bay City Police Department $26,000. The annual maintenance cost for a car depends on the age of the car at the beginning of the year. (All cars accumulate approximately the same mileage each year.) The maintenance costs increase as a car ages, as shown in the following
Given the following network, with the indicated distances between nodes, develop a minimal spanningtree:
A developer is planning a development that includes subdivisions of houses, cluster houses, townhouses, apartment complexes, shopping areas, a daycare center and playground, a community center, and a school, among other facilities. The developer wants to connect the facilities and areas in the
One of the opposing forces in a simulated army battle wishes to set up a communications system that will connect the eight camps in its command. The following network indicates the distances (in hundreds of yards) between the camps and the different paths over which a communications line can be
The management of the Dynaco manufacturing plant wants to connect the eight major manufacturing areas of its plant with a forklift route. Because the construction of such a route will take a considerable amount of plant space and disrupt normal activities, management wants to minimize the total
Several oil companies are jointly planning to build an oil pipeline to connect several southwestern, southeastern, and midwestern cities, as shown in the following network:The miles between cities are shown on each branch. Determine a pipeline system that will connect all 10 cities, using the
A major hotel chain is constructing a new resort hotel complex in Greenbranch Springs, West Virginia. The resort is in a heavily wooded area, and the developers want to preserve as much of the natural beauty as possible. To do so, the developers want to connect all the various facilities in the
The Barrett Textile Mill is remodeling its plant and installing a new ventilation system. The possible ducts connecting the different rooms and buildings at the plant, with the length (in feet) along each branch, are shown in the following network:Determine the ventilation system that will connect
The town council of Whitesville has decided to construct a bicycle path that will connect the various suburbs of the town with the shopping center, the downtown area, and the local college. The council hopes the local citizenry will use the bike path, thus conserving energy and decreasing traffic
Determine the minimal spanning tree for the network in Problem 9.
State University has decided to reconstruct the sidewalks throughout the east side of its campus to provide wheelchair access. However, upgrading sidewalks is a very expensive undertaking, so for the first phase of this project, university administrators want to make sure they connect all buildings
Tech wants to develop an area network that will connect its server at its computer and satellite center with the main campus buildings to improve Internet service. The cable will be laid primarily through existing electrical tunnels, although some cable will have to be buried underground. The
Given the following network, with the indicated flow capacities of each branch, determine the maximum flow from source node 1 to destination node 6 and the flow along eachbranch:
Given the following network, with the indicated flow capacities along each branch, determine the maximum flow from source node 1 to destination node 7 and the flow along eachbranch:
Given the following network, with the indicated flow capacities along each branch, determine the maximum flow from source node 1 to destination node 6 and the flow along eachbranch:
A new stadium complex is being planned for Denver, and the Denver traffic engineer is attempting to determine whether the city streets between the stadium complex and the interstate highway can accommodate the expected flow of 21,000 cars after each game. The various traffic arteries between the
The FAA has granted a license to a new airline, Omniair, and awarded it several routes between Los Angeles and Chicago. The flights per day for each route are shown in the following network:Determine the maximum number of flights the airline can schedule per day from Chicago to Los Angeles and
The National Express Parcel Service has established various truck and air routes around the country over which it ships parcels. The holiday season is approaching, which means a dramatic increase in the number of packages that will be sent. The service wants to know the maximum flow of packages it
The traffic management office in Richmond is attempting to analyze the potential traffic flow from a new office complex under construction to an interstate highway interchange during the evening rush period. Cars leave the office complex via one of three exits, and then they travel through the city
The Dynaco Company manufactures a product in five stages. Each stage of the manufacturing process is conducted at a different plant. The following network shows the five different stages and the routes over which the partially completed products are shipped to the various plants at the different
Suppose in Problem 36 that the processing cost per unit at each plant is different because of different machinery, workers€™ abilities, overhead, and so on, according to the following table:There are no differentiated costs at stage 5, the distribution center. Given a budget of $700,000,
Given the following network, with the indicated flow capacities along each branch, determine the maximum flow from source node 1 to destination node 10 and the flow along eachpath:
A manufacturing company produces different variations of a product at different work centers in its plant on a daily basis. Following is a network showing the various work centers in the plant, the daily capacities at each work center, and the flow of the partially completed products between work
The following network shows the major roads that would be part of the hurricane evacuation routes for Charleston, South Carolina:The destination is the interchange of Interstate 26 and Interstate 526, north of Charleston. The nodes represent road intersections, and the values at the nodes are the
In Problem 42 in Chapter 6, KanTech Corporation ships electronic components in containers from seaports in Europe to U.S. ports, from which the containers are transported by truck or rail to inland ports and then transferred to an alternative mode of transportation before being shipped to
The Pearlsburg (West Virginia) Rescue Squad serves a mountainous, rural area in southern West Virginia. The only access to the homes, farms, and small crossroad communities and villages is a network of dirt, gravel, and poorly paved roads. The rescue squad had just returned from an emergency at
In the novel Around the World in 80 Days by Jules Verne, Phileas T. Fogg wagered four of his fellow members of the Reform Club in London £5,000 apiece that he could travel around the world in 80 days. This would have been an astounding feat in 1872, the year in which the novel is set.Then,
On December 16, 1944, in the last year of World War II, two German panzer armies, supported by a third army of infantry, together totaling more than 250,000 men, staged a massive counteroffensive in northern France, overwhelming the American First Army in the Ardennes. The offensive emanated from
PAWV Power and Light has contracted with a waste disposal firm to have nuclear waste from its nuclear power plants in Pennsylvania disposed of at a government-operated nuclear waste disposal site in Nevada. The waste must be shipped in reinforced container trucks across the country, and all travel
Construct a Gantt chart for the following set of activities and indicate the project completiontime:
Construct a Gantt chart for the following set of activities and indicate the project completion time and slack for eachactivity:
Construct a Gantt chart and project network for the following set of activities, compute the length of each path in the network, and indicate the criticalpath:
Identify all the paths in the following network, compute the length of each, and indicate the critical path (activity times are inweeks):
For the network in Problem 4, determine the earliest and latest activity times and the slack for each activity. Indicate how the critical path would be determined from this information.
Given the following network, with activity times in months, determine the earliest and latest activity times and slack for each activity. Indicate the critical path and the projectduration.
Given the following network, with activity times in weeks, determine the earliest and latest activity times and the slack for each activity. Indicate the critical path and the projectduration:
In one of the little-known battles of the Civil War, General Tecumseh Beauregard lost the Third Battle of Bull Run because his preparations were not complete when the enemy attacked. If the critical path method had been available, the general could have planned better. Suppose that the following
A group of developers is building a new shopping center. A consultant for the developers has constructed the following project network and assigned activity times, in weeks.Determine the earliest and latest activity times, activity slack, critical path, and duration for theproject.
A farm owner is going to erect a maintenance building with a connecting electrical generator and water tank. The activities, activity descriptions, and estimated durations are given in the following table:Construct the network for this project, identify the critical path, and determine the project
Given the following network and activity time estimates, determine the expected time and variance for each activity and indicate the criticalpath:
The Farmer€™s American Bank of Leesburg is planning to install a new computerized accounts system. Bank management has determined the activities required to complete the project, the precedence relationships of the activities, and activity time estimates, as shown in the following
Consider the network in Problem 6, but with the following new time estimates for each activity:Determine the following:a. Expected activity timesb. Earliest activity timesc. Latest activity timesd. Activity slacke. Critical pathf. Expected project duration andvariance
The Virginia Department of Transportation is undertaking a construction project to widen a large section of interstate highway near Washington, DC. The project includes the construction of a number of new bridges, interchanges, and overpasses. The first step in the project is to appoint a project
The Matsusaki Company near Nashville, Tennessee, is a direct auto parts supplier for the nearby Neptune auto manufacturing plant. In order to gain a competitive advantage and meet quality requirements of its customers, Matsusaki has undertaken a project to achieve ISO certification.The goal of the
Consider the network in Problem 8, but with the following new time estimates for each activity:Determine the following:a. Expected activity timesb. Earliest activity timesc. Latest activity timesd. Activity slacke. Critical pathf. Expected project duration and variance
For the CPM/PERT network in Problem 13, determine the probability that the network duration will exceed 50 months.
The Center for Information Technology at State University has outgrown its office in Bates (B) Hall and is moving to Allen (A) Hall, which has more space. The move will take place during the 3-week break between the end of summer semester and the beginning of fall semester. Movers will be hired
Jane and Jim Smith are going to give a dinner party on Friday evening at 7:00 P.M. Their two children, Jerry and Judy, are going to help them get ready. The Smiths will all get home from work and school at 4:00 P.M. Jane and Jim have developed a project network to help them schedule their dinner
The Stone River Textile Mill was inspected by OSHA and found to be in violation of a number of safety regulations. The OSHA inspectors ordered the mill to alter some existing machinery to make it safer (add safety guards, etc.); purchase some new machinery to replace older, dangerous machinery; and
In the Third Battle of Bull Run, for which a CPM/PERT network was developed in Problem 16, General Beauregard would have won if his preparations had been completed in 15 days. What would the probability of General Beauregard’s winning the battle have been?
On May 21, 1927, Charles Lindbergh landed at Le Bourget Field in Paris, completing his famous transatlantic solo flight. The preparation period prior to his flight was quite hectic, and time was very critical because several other famous pilots of the day were also planning transatlantic flights.
RusTech Tooling is a large job shop operation that builds machine tools and dies to manufacture parts for specialized items. The company primarily bids on government-related contracts to produce parts for such items as military aircraft and weapons systems, as well as the space program. The company
PM Computers is an international manufacturer of computer equipment and software. It is going to introduce a number of new products in the coming year, and it wants to develop marketing programs to accompany the product introductions. The marketing program includes the preparation of printed
A marketing firm is planning to conduct a survey of a segment of the potential product audience for one of its customers. The planning process for preparing to conduct the survey consists of six activities, with precedence relationships and activity time estimates as follows:a. Determine all paths
Lakeland-Bering Aircraft Company is preparing a contract proposal to submit to the defense department for a new military aircraft, the X-300J jet fighter. Part of the proposal is a development and production schedule for completion of the first aircraft. The project consists of three primary
The Valley United Soccer Club is planning a soccer tournament for the weekend of April 29 and 30. The club€™s officers know that by March 30 they must send out acceptances to teams that have applied to enter and that by April 15 they must send out the tournament game schedule to teams
During a violent thunderstorm with very high wind gusts in the third week of March, the broadcast tower for the public radio station WVPR, atop Poor Mountain in Roanoke, collapsed. This greatly reduced the strength of the station’s signal in the area. The station management immediately began
The following table contains the activities for planning a wedding and the activity time estimates; however, the precedence relationships between activities are not included:Using your best judgment, determine the project network, critical path, and expected project duration. If it is January 1 and
The following table provides the information necessary to construct a project network and project crash data:a. Construct the project network.b. Compute the total allowable crash time per activity and the crash cost per week for each activity.c. Determine the maximum possible crash time for the
The following table provides the information necessary to construct a project network and project crash data:a. Construct the project network.b. Manually crash the network to 28 weeks.c. Formulate the general linear programming model for this network.d. Formulate the linear programming crashing
Formulate the general linear programming model for Problem 4, and solve it.
Formulate the general linear programming model for the project network for installing an order processing system shown in Figure 8.14 and solve it.
Reconstruct the example problem at the end of this chapter as an AOA network. Assume that the most likely times (m) are the normal activity times and that the optimistic times (a) are the activity crash times. Further assume that the activities have the following normal and crash costs:a. Formulate
The following table provides the crash data for the network project described in Problem 12:The normal activity times are considered to be deterministic and not probabilistic. Using the computer, crash the network to 26 weeks. Indicate how much it would cost the bank and then indicate the
A manufacturing company produces products 1, 2, and 3. The three products have the following resource requirements and produce the following profit:At present, the firm has a daily labor capacity of 240 available hours and a daily supply of 400 pounds of material. The general linear programming
In Problem 15 in Chapter 6, Computers Unlimited sells microcomputers and distributes them from three warehouses to four universities. The available supply at the three warehouses, demand at the four universities, and shipping costs are shown in the following table:Instead of its original objective
The Bay City Parks and Recreation Department has received a federal grant of $600,000 to expand its public recreation facilities. City council representatives have demanded four different types of facilities€”gymnasiums, athletic fields, tennis courts, and swimming pools. In fact, the
A farmer in the Midwest has 1,000 acres of land on which she intends to plant corn, wheat, and soybeans. Each acre of corn costs $100 for preparation, requires 7 worker-days of labor, and yields a profit of $30. An acre of wheat costs $120 to prepare, requires 10 worker-days of labor, and yields
The Growall Fertilizer Company produces three types of fertilizer—Supergro, Dynaplant, and Soilsaver. The company has the capacity to produce a maximum of 2,000 tons of fertilizer in a week. It costs $800 to produce a ton of Supergro, $1,500 for Dynaplant, and $500 for Soilsaver.The production
The Barrett Textile Mill was checked by inspectors enforcing Occupational Safety and Health Administration (OSHA) codes. The inspectors found violations in four categories: hazardous materials, fire protection, hand-powered tools, and machine guarding. In each category the mill was not in 100%
Solve the following goal programming model graphically and by using thecomputer:
Solve the following goal programming model graphically and by using thecomputer:
The Wearever Carpet Company manufactures two brands of carpet—shag and sculptured—in 100-yard lots. It requires 8 hours to produce one lot of shag carpet and 6 hours to produce one lot of sculptured carpet. The company has the following production goals, in prioritized order:(1) Do not
The East Midvale Textile Company produces denim and brushed-cotton cloth. The average production rate for both types of cloth is 1,000 yards per hour, and the normal weekly production capacity (running two shifts) is 80 hours. The marketing department estimates that the maximum weekly demand is for
The Oregon Atlantic Company produces two kinds of paper—newsprint and white wrapping paper (butcher paper). It requires 5 minutes to produce a yard of newsprint and 8 minutes to produce a yard of wrapping paper. The company has 4,800 minutes of normal production capacity available each week. The
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