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##### Saint GB334 final exam

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Question;Final;Exam;Question;1. 1.In a PERT network, the earliest (activity) start time is;the: (Points: 2);earliest time that an activity can be finished without delaying the entire;project.;latest time that an activity can be started without delaying the entire;project.;earliest time that an;activity can start without violation of precedence requirements.;latest time that an activity can be finished without delaying the entire;project.;none of the above.;Question;2. 2.Given an activity's optimistic, most likely, and pessimistic;time estimates of 4, 12, and 18 days respectively, what is the PERT;variance for this activity? (Points: 2);2.33;5.44;8.00;64.00;None of the above;Question;3. 3.The expected time in PERT is: (Points: 2);a weighted average of;the most optimistic time, most pessimistic time, and four times the most;likely time.;the modal time of a beta distribution.;a simple average of the most optimistic, most likely, and most pessimistic;times.;the square root of the sum of the variances of the activities on the;critical path.;none of the above.;Question;4. 4.According to the table below, there are five activities in a;PERT project.Click here to view;a Word version of the table.;Using the data in the table, if the normal distribution were used to find;the probability of finishing this project in 24 weeks or fewer, what mean;and variance respectively would be used?;(Points: 2);20, 4.222;30, 5.222;20, 5.222;30, 4.222;22.667, 1.111;Question;5. 5.The following table represents a project with four;activities. All times are in weeks.Click here to view;a Word version of the table.;Using the data in the table, what is the critical path?;(Points: 2);A-B;A-C;B-D;A-B-C-D;None of the above;Question;6. 6.Bank Boston has a branch at Bryant College. The branch is;busiest at the beginning of the college year when freshmen and transfer;students open accounts. This year, freshmen arrived at the office at a;rate of 40 per day (assume 8-hour days). On average, it takes the Bank;Boston staff person about ten minutes to process each account;application. The bank is considering having one or two tellers. Each;teller is paid $12 per hour and the cost of waiting in line is assumed to;be $8 per hour.;What is the average number of people waiting to open accounts? (Points;2);3.27;4.16;5.27;5.83;Question;7. 7.A suburban specialty restaurant has developed a single;drive-thru window. Customers order, pay, and pick up their food at the;same window. Arrivals follow a Poisson distribution while service times;follow an exponential distribution. If the average number of arrivals is;6 per hour and the service rate is 2 every 15 minutes, how much time will;elapse (in hours) from the time a customer enters the line until he/she;leaves the restaurant? (Points: 2);0.50;0.25;0.75;2.25;3.00;Question;8. 8.A widely used mathematical programming technique designed to;help managers and decision making relative to resource allocation is;called __________. (Points: 2);linear programming;computer programming;constraint programming;goal programming;None of the above;Question;9. 9.Consider the following linear programming problem;Maximize 12X + 10Y;Subject to;4X + 3Y? 480;2X + 3Y? 360;all variables? 0;The maximum possible value for the objective function is __________.;(Points: 2);360;480;1,520;1,560;none of the above;Question;10. 10.If items being transported must go through an intermediate;point before reaching a final destination, then this situation is known;as a(n) __________. (Points: 2);transshipment problem;assignment problem;transportation problem;intermediate point problem;None of the above;Question;11. 11.Which of the following is not a popular definition;of quality? (Points: 2);Quality is the totality of features and characteristics of a product or;service that bears on its ability to satisfy stated or implied needs.;Quality is defined as;a competitively priced product that surpasses customer needs.;Quality is the degree to which a product conforms to design or;specification.;Quality is fitness for use.;Even though quality cannot be defined, you know what it is.;Question;12. 12.Variations that usually occur in a process are called;(Points: 2);process variations;natural variations;control variations;assignable variations;none of the above;Question;13. 13.A feasible solution to a linear programming problem;(Points: 2);must be a corner point of the feasible region.;must satisfy all of;the problem's constraints simultaneously.;need not satisfy all of the constraints, only the non-negativity;constraints.;must give the maximum possible profit.;must give the minimum possible cost.;Question;14. 14.Click here to view;a Word version of the table.;To guarantee that cans of soup are properly filled, some cans are sampled;and the amounts measured. The overall average for the samples is 12;ounces. Each sample contains 10 cans. The average range is 0.4 ounces.;Using the data in the table above, what is the lower control chart limit;for the sample averages? (Points: 2);12.1232;11.8768;13.2;12.308;None of the above;Question;15. 15.Which of the following control charts is/are for;attributes? (Points: 2);p-chartx-bar chartR-chart;A and B;A, B, and C;Question;16. 16.A certain firm has four different operations that must be;assigned to four locations. The profit (in thousands of dollars);associated with each operation at each location is presented below. The;firm's vice president would like to assign the various operations so that;the total profit is maximized. Find the appropriate assignments.Click here to view;an Excel version of the table.;Using the data in the table, what is the optimal location for Operation;Z? (Points: 2);1;2;3;4;Question;17. 17.Given the table below, the final table for an assignment;problem, who should be assigned to Job 2?Click here to view;an Excel version of the table.;(Points: 2);Worker A;Worker C;Either worker A or worker C;Neither worker A nor worker C;Worker D;Question;18. 18.A company believes a process monitored by an x-bar;chart to be in control. When the most recent control point exceeded the;UCL value by 20%, the company should: (Points: 2);believe that a random bad luck chance occurred and proceed.;suspect that an;assignable cause of variation now exists and can be found.;ignore the control point completely, as it is simply an outlier.;wait for the next four samples to be taken to see if a trend develops.;none of the above.;Question;19. 19.Click here to view;a Word version of the table.;Bags of chocolate candy are sampled to ensure proper weight. The overall;average for the samples is 36 ounces. Each sample contains twelve bags.;The average range is 1.3 ounces.;Using the data in the table above, what is the lower control chart limit;for the sample averages? (Points: 2);36.3730;36.4849;35.6270;35.5150;Question;20. 20.Consider the following linear programming model;Minimize 2X1 + 3X2;Subject to;X1 + X2? 4;X1? 2;X1, X2? 0;This linear programming model has: (Points: 2);a unique optimal solution.;an unbounded solution.;an infeasible solution.;an alternate optimal solution.;redundant constraints.;Question;21. 21.When using the shortest-route technique, the second step;is to: (Points: 2);find the next-nearest;node to the origin and put the distance in a box by the node.;trace the path from the warehouse to the plant.;determine the average distance traveled from source to end.;find the nearest node to the origin and put a distance box by the node.;None of the above is correct.;Question;22. 22.The shortest-route technique would best be used to;(Points: 2);assign workers to jobs in the cheapest manner.;determine the number of units to ship from each source to each destination.;determine the amount of LAN network wiring within a building.;minimize the amount of traffic flow on a busy highway.;determine the path for;a truck making frequent but repeatable drops.;Question;23. 23.The p-chart is useful when we: (Points: 2);take a number of measurements and compute the average.;take a number of measurements and compute the ranges.;find the fraction of;the production lot defective.;find the number of defective items in a production lot.;None of the above is correct.;Question;24. 24.A finite population model differs from an infinite;population model because there is a random relationship between the;length of the queue and the arrival rate. (Points: 2);True;False;Question;25. 25.The wait time for a single-channel system is more than;twice that for a two-channel system using two servers working at the same;rate as the single server. (Points: 2);True;False;Question;26. 26.The maximal-flow technique finds the maximum flow of any;quantity or substance through a network. (Points: 2);True;False;Question;27. 27.Two characteristics of arrivals are the line length and;queue discipline. (Points: 2);True;False;Question;28. 28.The points on the network are referred to as nodes. (Points;2);True;False;Question;29. 29.In the maximal-flow technique, a zero (0) means no flow or;a one-way arc. (Points: 2);True;False;Question;30. 30.Infeasibility in a linear programming problem occurs when;(Points: 2);there is an infinite solution.;a constraint is redundant.;more than one solution is optimal.;the feasible region is unbounded.;there is no solution;that satisfies all the constraints given.;Question;31. 31.A certain firm has four different operations that must be;assigned to four locations. The profit (in thousands of dollars);associated with each operation at each location is presented below. The;firm's vice president would like to assign the various operations so that;the total profit is maximized. Find the appropriate assignments.Click here to view;an Excel version of the table.;Using the data in the table, what is the optimal location for Operation;W? (Points: 2);1;2;3;4;Question;32. 32.In a single-channel, single-phase system, reducing the;service time only reduces the total amount of time spent in the system;not the time spent in the queue. (Points: 2);True;False;Question;33. 33.A company can decide how many additional labor hours to;acquire for a given week. Subcontractor workers will only work a maximum;of 20 hours a week. The company must produce at least 200 units of;product A, 300 units of product B, and 400 units of product C. In 1 hour;of work, worker 1 can produce 15 units of product A, 10 units of product;B, and 30 units of product C. Worker 2 can produce 5 units of product A;20 units of product B, and 35 units of product C. Worker 3 can produce 20;units of product A, 15 units of product B, and 25 units of product C.;Worker 1 demands a salary of $50/hr, worker 2 demands a salary of $40/hr;and worker 3 demands a salary of $45/hr. The company must choose how many;hours they should contract with each worker to meet their production;requirements and minimize labor cost.;Assuming this is a linear programming problem, which of the following is;the optimal solution? (Points: 2);X1 = 7.69, X2 = 0, X3 = 9.23;X1 = 0, X2 = 7.69, X3 = 9.23;X1 = 0, X2 =;9.23, X3 = 7.69;X1 = 9.23, X2 = 7.69, X3 = 0;Question;34. 34.A company must assign mechanics to each of four jobs.Click here to view;an Excel version of the table.;The time involved varies according to individual abilities. The table;shows how many minutes it takes each mechanic to perform each job. If the;optimal assignments are made, how many total minutes would be required;for completing the jobs? (Points: 2);0;4;17;16;None of the above;Question;35. 35.The customer who arrives at a bank, sees a long line, and;leaves to return another time is __________. (Points: 2);balking;cropping;reneging;blithering;none of the above.;Question;36. 36.Two models of a product ? Regular (X) and Deluxe (Y) ? are;produced by a company. A linear programming model is used to determine;the production schedule. The formulation is as follows;Maximize profit = 50X + 60Y;Subject to;8X + 10Y? 800 (labor hours);X + Y?;120;(total units demanded);4X = 5Y? 500 (raw;materials);all variables? 0;The optimal solution is X = 100, Y = 0.;How many units of the regular model would be produced based on this;solution? (Points: 2);0;100;50;120;None of the above;Question;37. 37.In PERT, we assume that: (Points: 2);the times to complete individual activities are known with certainty.;all activities are carried out by staff from our own organization.;the total cost of a project is independent of the time to complete the;project.;the total time to;complete all activities on the critical path is described by a normal;distribution.;none of the above.;Question;38. 38.The difference between the left-hand side and right-hand;side of a greater-than-or-equal-to constraint is referred to as;(Points: 2);surplus;constraint;slack;shadow price;none of the above;Question;39. 39.A suburban specialty restaurant has developed a single;drive-thru window. Customers order, pay, and pick up their food at the;same window. Arrivals follow a Poisson distribution while service times;follow an exponential distribution. If the average number of arrivals is;6 per hour and the service rate is 2 every 15 minutes, what proportion of;the time is the server busy? (Points: 2);0.25;0.50;0.75;2.25;3.00;Question;40. 40.Which of the following is not an assumption of LP?;(Points: 2);Simultaneity;Certainty;Proportionality;Divisibility;Additivity;Question;41. 41.Practically speaking, multiple optimal solutions __________.;(Points: 2);are infeasible;are unbounded;are degenerate;are unbalanced;provide management;with greater flexibility in selecting and using resources;Question;42. 42.Cars arrive at a local JLUBE franchise at the rate of 1;every 12 minutes. Service times are exponentially distributed with an;average of 15 minutes. Jack Burns, the JLUBE owner, has decided to open a;second work bay, i.e., make the shop into a two-channel system. Under;this new scheme, the total time an average customer spends in the system;will be (Points: 2);37 minutes.;2.1 minutes.;9.6 minutes.;33.3 minutes.;24.6 minutes.;Question;43. 43.An automatic car wash is an example of a constant service;time model. (Points: 2);True;False;Question;44. 44.Customers enter the waiting line to pay for food as they;leave a cafeteria on a first-come, first-served basis. The arrival rate;follows a Poisson distribution, while service times follow an exponential;distribution. If the average number of arrivals is four per minute and;the average service rate of a single server is seven per minute, on;average, how much time will elapse from the time a customer enters the;line until he/she leaves the cafeteria? (Points: 2);0.67 minute;0.50 minute;0.75 minute;0.33 minute;1.33 minutes;Question;45. 45.A certain firm has four different operations that must be;assigned to four locations. The profit (in thousands of dollars);associated with each operation at each location is presented below. The;firm's vice president would like to assign the various operations so that;the total profit is maximized. Find the appropriate assignments.Click here to view;an Excel version of the table.;Using the data in the table, what is the optimal location for Operation;X? (Points: 2);1;2;3;4;Question;46. 46.Which of the following is not a property of all;linear programming problems? (Points: 2);The presence of restrictions;Optimization of some objective;A computer program;Alternate courses of action to choose from;Usage of only linear equations and inequalities;Question;47. 47.Typical resources of an organization include __________.;(Points: 2);machinery usage;labor volume;warehouse space utilization;raw material usage;all of the above;Question;48. 48.Assume that we are using a waiting line model to analyze;the number of service technicians required to maintain machines in a;factory. Our goal should be to: (Points: 2);maximize productivity of the technicians.;minimize the number of machines needing repair.;minimize the downtime for individual machines.;minimize the percent of idle time of the technicians.;minimize the total;cost (cost of maintenance plus cost of downtime).;Question;49. 49.The shortest-route technique might be logically used for;(Points: 2);finding the longest time to travel between two points.;finding the shortest;travel distance between two points.;finding the most scenic route to allow travel to several places during a;trip on spring break.;connecting all the points of a network together while minimizing the;distance between them.;none of the above.;Question;50. 50.The c-chart is useful when we: (Points: 2);take a number of measurements and compute the average.;take a number of measurements and compute the ranges.;find the fraction of the production lot defective.;find the number of;defective items in a production lot.;None of the above is correct

Paper#46134 | Written in 18-Jul-2015

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