Saint GB334 final exam

Question 1. 1.In a PERT network, the earliest (activity) start time is the: (Points : 2)

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)

Question 3. 3.The expected time in PERT is: (Points : 2)

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)

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)

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)

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)

Question 8. 8.A widely used mathematical programming technique designed to help managers and decision making relative to resource allocation is called __________. (Points : 2)

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)

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)

Question 11. 11.Which of the following is not a popular definition of quality? (Points : 2)

Question 12. 12.Variations that usually occur in a process are called __________. (Points : 2)

Question 13. 13.A feasible solution to a linear programming problem: (Points : 2)

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)

Question 15. 15.Which of the following control charts is/are for attributes? (Points : 2)

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)

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)

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)

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)

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)

Question 21. 21.When using the shortest-route technique, the second step is to: (Points : 2)

Question 22. 22.The shortest-route technique would best be used to: (Points : 2)

Question 23. 23.The p-chart is useful when we: (Points : 2)

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)

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)

Question 26. 26.The maximal-flow technique finds the maximum flow of any quantity or substance through a network. (Points : 2)

Question 27. 27.Two characteristics of arrivals are the line length and queue discipline. (Points : 2)

Question 28. 28.The points on the network are referred to as nodes. (Points : 2)

Question 29. 29.In the maximal-flow technique, a zero (0) means no flow or a one-way arc. (Points : 2)

Question 30. 30.Infeasibility in a linear programming problem occurs when: (Points : 2)

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)

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)

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)

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)

Question 35. 35.The customer who arrives at a bank, sees a long line, and leaves to return another time is __________. (Points : 2)

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)

Question 37. 37.In PERT, we assume that: (Points : 2)

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)

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)

Question 40. 40.Which of the following is not an assumption of LP? (Points : 2)

Question 41. 41.Practically speaking, multiple optimal solutions __________. (Points : 2)

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)

Question 43. 43.An automatic car wash is an example of a constant service time model. (Points : 2)

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)

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)

Question 46. 46.Which of the following is not a property of all linear programming problems? (Points : 2)

Question 47. 47.Typical resources of an organization include __________. (Points : 2)

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)

Question 49. 49.The shortest-route technique might be logically used for: (Points : 2)

Question 50. 50.The c-chart is useful when we: (Points : 2)