PROBLEM SET 6,7

Problem Set 6″ for BUSN603 D003 Win 15

Part 1  of this quiz is based on the information in Problem 13-10  and Part 2 is based on the information in Problem 13-15  in the Textbook.

Please review the Single-Channel Queuing Model  in Section 13.4 of the textbook before taking this quiz. You may find it very helpful to go through the examples presented in Program 13.1 in the textbook as well as in the Week 5 PowerPoint Slides (13-9 to 13-10 and 13-20 to 13-28). Please also join our Discussion Post 6a  for any additional tips and hints on completing this quiz.

If you use “by the chapter” list to find the appropriate program to use in Excel QM, then you actually have to look in Chapter 14 instead of 13.

Part 1 of 2 – Part 1

This part of the question is based on the following information.

The Schmedley Discount Department Store has approximately 300 customers shopping in its store between 9 A.M. and 5 P.M. on Saturdays. In deciding how many cash registers to keep open each Saturday, Schmedley’s manager considers two factors: customer waiting time (and the associated waiting cost) and the service costs of employing additional checkout clerks. Checkout clerks are paid an average of $8 per hour. When only one is on duty, the waiting time per customer is about 10 minutes (or hour); when two clerks are on duty, the average checkout time is 6 minutes per person; 4 minutes when three clerks are working; and 3 minutes when four clerks are on duty.

Schmedley’s management has conducted customer satisfaction surveys and has been able to estimate that the store suffers approximately $10 in lost sales and goodwill for every hour of customer time spent waiting in checkout lines.

Please fill out the following table to answer the quiz questions in Part 1. (You may also download the attached worksheet.)

                                                           Number of checkout clerks                        
                                                              1               2           3             4
Number of customers                           300              300       300              300
Average waiting time (per customer)  
Total customer waiting time
Cost per waiting hour
Total waiting cost
Checkout clerk hourly salary
Total pay of clerks for an 8-hour shift
Total expected cost                                

  Question 1 of 10

10.0 Points

   

The total customer waiting time is    hours when there is only one clerk, and it will be reduced to only    hours if there are four clerks. (Please only enter an integer and include no units.) 
  Mark for Review  What’s This? Question 2 of 10

10.0 Points

   

The total wait cost is    dollars when there is only one clerk, and it will be reduced to only  dollars if there are four clerks. (Please only enter an integer and include no units.) 

  Mark for Review  What’s This? Question 3 of 10

10.0 Points

   

The total cost of hiring is only    dollars when there is only one clerk, and it will be increased to    dollars if there are four clerks. (Please only enter an integer and include no units.) 

  Mark for Review  What’s This? Question 4 of 10

10.0 Points

To minimize the total expected cost based on your calculations above, the optimal number of clerks to have on duty each Sunday is ___________. 

 

  A.1 

  B.2 

  C.3 

  D.4 Part 2 of 2 – Part 2

This part of the question is based on the following information.

The wheat harvesting season in the American Midwest is short, and most farmers deliver their truckloads of wheat to a giant central storage bin within a two-week span. Because of this, wheat-filled trucks waiting to unload and return to the fields have been known to back up for a block at the receiving bin. The central bin is owned cooperatively, and it is to every farmer’s benefit to make the unloading/storage process as efficient as possible. The cost of grain deterioration caused by unloading delays, the cost of truck rental, and idle driver time are significant concerns to the cooperative members. Although farmers have difficulty quantifying crop damage, it is easy to assign a waiting and unloading cost for truck and driver of $18 per hour. The storage bin is open and operated 16 hours per day, 7 days per week, during the harvest season and is capable of unloading 35 trucks per hour according to an exponential distribution. Full trucks arrive all day long (during the hours the bin is open) at a rate of about 30 per hour, following a Poisson pattern.

The cooperative, as mentioned, uses the storage bin only two weeks per year. Farmers estimate that enlarging the bin would cut unloading costs by 50% next year. It will cost $9,000 to do so during the off season.

 Question 5 of 10

10.0 Points

   

The average number of trucks in the system is    trucks. (Please only enter an integer and include no units.) 

  Mark for Review What’s This?Question 6 of 10

10.0 Points

   

The average time per truck spent in the system is    minutes. (Please only enter an integer and include no units.) 

  Mark for Review What’s This?Question 7 of 10

10.0 Points

   

The utilization rate for the bin area is    . (Please round it to two decimal points.) 

  Mark for Review What’s This?Question 8 of 10

10.0 Points

   

The probability that there are more than 3 trucks in the system is about    . (Please round it to two decimal points.) 
  Mark for Review What’s This?Question 9 of 10

10.0 Points

   

The total daily cost in the unloading process is    per day. (Please only enter an integer and include no units.) 
  Mark for Review What’s This?Question 10 of 10

10.0 Points

   

Based on the above calculation, the net saving/loss of enlarging the bin is    dollars, hence the cooperative    proceed to enlarge the bin. (Please round to an integer and include no units. Use a “-” sign in front the number to indicate a net loss, if there is a loss. Also, enter only “should” or “should not” in the second blanket.) 
  Mark for Review What’s This?

Problem Set 7″ for BUSN603 D003 Win 15

Part 1  of this quiz is based on the information in Problem 16-9  and Part 2 is based on the information in Problem 16-16  and Problem 16-17  in the Textbook.

Please review the Control Charts  introduced in Section 16.4 in the textbook before taking this quiz. You may find it very helpful to go through the examples presented in Program 16.2 in the textbook as well as in the Week 5 PowerPoint Slides (16-22 to 16-23).

If you use “by the chapter” list to find the appropriate program to use in Excel QM, then you actually have to look inChapter 17 instead of 16. Part 1 of 2 – Part 1

This part of the question is based on the following information.

When set at the standard position, Autopitch can throw hard balls toward a batter at an average speed of 60 mph. Autopitch devices are made for both major- and minor-league teams to help them improve their batting averages. Autopitch executives take samples of 10 Autopitch devices at a time to monitor these devices and to maintain the highest quality. The average range is 3 mph. Using control chart techniques, determine control-chart limits for averages and ranges for Autopitch.

Please use the attached table or Excel QM to answer the following questions.

 Question 1 of 10

10.0 Points

   

Based on the attached table or Excel QM, the upper control limit for  averages  is    . (Please round it to two decimal points and include no units.) 
  Mark for Review  What’s This? Question 2 of 10

10.0 Points

   

Based on the attached table or Excel QM, the lower control limit for  averages  is    . (Please round it to two decimal points and include no units.) 
  Mark for Review  What’s This? Question 3 of 10

10.0 Points

   

Based on the attached table or Excel QM, the upper control limit for  ranges    . (Please round it to two decimal points and include no units.) 
  Mark for Review  What’s This? Question 4 of 10

10.0 Points

   

Based on the attached table or Excel QM, the lower control limit for  ranges  is    . (Please round it to two decimal points and include no units.) 
  Mark for Review  What’s This? Part 2 of 2 – Part 2

This part of the question is based on the following information.

Colonel Electric is a large company that produces light bulbs and other electrical products. One particular light bulb is supposed to have an average life of about 1,000 hours before it burns out. Periodically the company will test 5 of these and measure the average time before these burn out. The attached table gives the results of 10 such samples.

 

  Question 5 of 10

10.0 Points

   

The overall average of these means is    , and the overall average range is  . (Please round it to one decimal point and include no units.) 
  Mark for Review What’s This?Question 6 of 10

10.0 Points

   

Based on the result in Question 5 and the attached table for Part 1 or Excel QM, the upper control limit for a 99.7% control chart for the mean/average is    . (Please round it to two decimal points and include no units.) 
  Mark for Review What’s This?Question 7 of 10

10.0 Points

   

Based on the result in Question 5 and the attached table in Part 1 or Excel QM, the lower control limit for a 99.7% control chart for the mean/average is    . (Please round it to two decimal points and include no units.) 
  Mark for Review What’s This?Question 8 of 10

10.0 Points

Does this process appear to be in control in terms of the mean? 

 

  A.Yes. 

  B.No. 

Reset Selection

  Mark for Review What’s This?Question 9 of 10

10.0 Points

   

Based on the result in Question 5 and the attached table for Part 1 or Excel QM, the  upper  control limit for a 99.7% control chart for the  range  is    and the the  lower  control limit is  . (Please round it to two decimal points and include no units.) 
  Mark for Review What’s This?Question 10 of 10

10.0 Points

Does this process appear to be in control in terms of the range? 

 

  A.Yes. 

  B.No. 

 

 

 
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