Quantitative Analysis/Statistics M/C Homework-Need It Now-Time Sensitive

1. Jack Spratt is the production manager for a manufacturing firm that produces wizzy-gadgets and other items. The annual demand for a particular wizzy-gadget is 1,600 units. The holding cost is $2 per unit per year. The cost of setting up the production line is $25. There are 200 working days per year. The production rate for this product is 80 per day. If his maximum inventory level is 180 units, how many units did he produce each time he started production of the wizzy-gadgets? (Points : 5)

200 180 100 90 none of the above

Question 2. 2. The critical path of a network is the: (Points : 5)

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shortest time path through the network. path with the fewest activities. path with the most activities. longest time path through the network. none of the above.

Question 3. 3. A person is using the normal distribution to determine the safety stock for a product. The “z” value of 1.28 would be associated with what service level? (Points : 5)

40 percent 95 percent 70 percent 90 percent none of the above

Question 4. 4. At the start of football season, the ticket office gets very busy the day before the first game. Customers arrive at the rate of four every ten minutes. The customer would be better off if the stadium employed: (Points : 5)

a single ticket seller who could service a customer in two minutes. two ticket sellers each of whom could service a customer in three minutes. The two situations produce the same wait times.

Question 5. 5. Mark Achin sells 3,600 electric motors each year. The cost of these is $200 each, and demand is constant throughout the year. The holding cost is $20 per unit per year. If Mark is ordering in lots of 90 units, what is his total order cost per year? (Points : 5)

$500 $700 $900 $1,100 insufficient information to answer the question

Question 6. 6. Which of the following is not a use of inventory? (Points : 5)

the decoupling function the translucent function an inflation hedge allows for quantity discounts to avoid stockouts and shortages

Question 7. 7. Customers enter the waiting line at 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, what is the average number of customers in the system? (Points : 5)

0.43 1.67 0.57 1.33 none of the above

Question 8. 8. LP theory states that the optimal solution to any problem will lie at: (Points : 5)

the origin. a corner point of the feasible region. the highest point of the feasible region. the lowest point in the feasible region. none of the above.

Question 9. 9. In a non instanteneous receipt model, daily demand is 55 units and daily production is 120 units, Co=$70 and Cc=$4 per unit per year. What is the maximum inventory level? (Assume that the facility is open 365 days per year.) (Points : 5)

616.9 618.4 620.3 622.9 625.5

Question 10. 10. 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, what proportion of the time is the server busy? (Points : 5)

0.43 0.57 0.75 0.25 0.33

Question 11. 11. For a local hardware store, the total service cost is $10 per hour per employee and the waiting cost is $8 per hour per customer. Customers arrive at a rate of 20 per hour. On average a customer waits a total of 6 minutes. If a single clerk is employed, what is the total cost of the system? (Points : 5)

$26.00 $106.00 $16.00 $10.60 none of the above

Question 12. 12. Given an activity’s optimistic, most likely, and pessimistic time estimates of 3, 7, and 11 days respectively, compute the expected time for this activity. (Points : 5)

5 6 7 12 none of the above

Question 13. 13. The behavior of jumping from one queue to another trying to get through as quickly as possible is called: (Points : 5)

balking. reneging. cropping. blithering. none of the above.

Question 14. 14. In the basic EOQ model, if D=55 per month, S=$10, and H=$7 per unit per month, what is the EOQ? (Points : 5)

10.5 11.5 12.5 13.5 14.5

Question 15. 15. The EOQ model without the instantaneous receipt assumption is commonly called the: (Points : 5)

quantity discount model. safety stock model. planned shortage model. production run model. none of the above.

Question 16. 16. Which of the following is not an assumption in common queuing mathematical models? (Points : 5)

Arrivals come from an infinite, or very large, population. Arrivals are Poisson distributed. Arrivals are treated on a first-in, first-out basis and do not balk or renege. Service rates follow the normal distribution. The average service rate is faster than the average arrival rate.

Question 17. 17. 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 from the time a customer enters the line until he/she leaves the restaurant? (Points : 5)

0.25 0.50 0.75 2.25 3.00

Question 18. 18. Given the following information for a project, determine the critical path.

Activity

Immediate Predecessor

Activity Time (days)

A

6

B

8

C

A, B

5

D

B

4

E

C

7

F

C, D

3

G

D

6

H

E, F, G

5

(Points : 5)

A-C-E-H B-C-E-H B-D-F-H B-D-G-H B-C-F-H

Question 19. 19. Given the following information for a project, determine the estimated completion time of the project.

Activity

Immediate Predecessor

Activity Time (days)

A

6

B

8

C

A, B

5

D

B

4

E

C

7

F

C, D

3

G

D

6

H

E, F, G

5

(Points : 5)

23 days 19 days 22 days 25 days 20 days

Question 20. 20. 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 : 5)

0.67 minutes 0.50 minutes 0.75 minutes 0.33 minutes 1.33 minutes

Question 21. 21. A linear program has been solved and sensitivity analysis has been performed. The ranges for the objective function coefficients have been found. For the profit on, the upper bound is 100, the lower bound is 75, and the current value is 80. If the profit on is increased to 120, then: (Points : 5)

the values for all of the decision variables will remain the same. other values will change, but the original corner point remains optimal. a new corner point will become optimal. none of the above.

Question 22. 22. Given an activity’s optimistic, most likely, and pessimistic time estimates of 3, 5, and 15 days, respectively, compute the PERT standard deviation for this activity. (Points : 5)

2 4 5 15 none of the above

Question 23. 23. Which of the following is not true about arrivals? (Points : 5)

Arrivals that are independent of each other are random. Random arrivals cannot be predicted exactly. The Poisson distribution is often used to represent arrival pattern. The exponential distribution is often used to represent arrival patterns.

Question 24. 24. The term queue discipline describes the: (Points : 5)

degree to which members of the queue renege. sequence in which members of the queue arrived. degree to which members of the queue are orderly and quiet. sequence in which members of the queue are serviced. all of the above.

Question 25. 25. A post office has a single line for customers waiting for the next available postal clerk. There are two postal clerks who work at the same rate. The arrival rate of customers follows a Poisson distribution, while the service time follows an exponential distribution. The average arrival rate is three per minute and the average service rate is two per minute for each of the two clerks. What proportion of time are both clerks idle? (Points : 5)

0.643 0.250 0.750 0.143

Question 26. 26. A vendor selling newspapers on a street corner is an example of a: (Points : 5)

single-channel, multiphase system. single-channel, single-phase system. multichannel, multiphase system. multichannel, single-phase system. none of the above.

Question 27. 27. Time an activity would take assuming very unfavorable conditions is represented by the: (Points : 5)

optimistic time (a). most likely time (m). deterministic time (d). pessimistic time (b). none of the above.

Question 28. 28. Lines at banks where customers wait for a teller window are usually representative of a: (Points : 5)

single-channel, multiphase system. single-channel, single-phase system. multichannel, multiphase system. multichannel, single-phase system. none of the above.

Question 29. 29. The minimization of cost or maximization of profit is the: (Points : 5)

objective of a business. constraint of operations management. goal of management science. objective of linear programming. both a and d.

Question 30. 30. For a maximization problem, assume that a constraint is binding. If the original amount of a resource is 4 lbs., and the range of feasibility (sensitivity range) for this constraint is from 3 lbs. to 6 lbs., increasing the amount of this resource by 1 lb. will result in the: (Points : 5)

same product mix, different total profit. different product mix, same total profit as before. same product mix, same total profit. different product mix, different total profit.

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