You manage a job shop creating custom banners for small businesses. You have a single machine...

 

  

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You manage a job shop creating custom banners for small businesses. You have a single machine that produces all the banners. When an order arrives from a customer, you check over the file for consistency, make adjustments so that the electronic instruction file for the production machine is correct, and then you send it to the machine for production. If the machine is already working on a job, it stores the waiting jobs in memory and completes them in the order that they arrive. Orders for banners differ widely in shape, size, color, wording, graphics and other dimensions so that production of a banner could take anywhere from a couple of minutes to several hours. The average production time is about 1.75 hours. The arrival of orders is also highly variable, ranging from several hours between orders arriving to multiple orders arriving within a few minutes. On average, an order arrives every 112 minutes. You run a quick check on your management software and see that right now you have 15 jobs waiting at the production machine (and one job currently running). You also check the last 5 completed jobs and notice that from the time the job order was sent out to the machine until it was done on the machine was an average of 23 working hours. (While working with this problem, be sure to use at least 3 or 4 significant digits in your intermediate calculations) 5) (10 points) Calculate the average amount of time (in hours) that it takes for a job from when it is sent to the machine until it is completed. 6) (10 points) Calculate the average number of jobs waiting at the production machine. 7) (5 points) Should you be concerned that what you calculated in the two previous questions doesn't match up with what you found when you checked the management software? a) Absolutely! There must be something wrong with the machine that is building up queues longer than expected. I will need to call the manufacturer right now and have someone come out and spend several hours checking the workings of the machine. b) No, nothing to worry about here. Calculations are never correct, so any deviation is expected and there is never any reason to worry. c) It depends. The differences don't seem to be really large right now. The calculations are just averages, so any single observation is going to differ. I'll just watch over time and see if the differences change drastically. d) It depends. The differences seem really large and significant right now and they should match up with the calculations almost exactly. I'll have to take frequent samples for a while and see if they start matching the calculations or not. You manage a job shop creating custom banners for small businesses. You have a single machine that produces all the banners. When an order arrives from a customer, you check over the file for consistency, make adjustments so that the electronic instruction file for the production machine is correct, and then you send it to the machine for production. If the machine is already working on a job, it stores the waiting jobs in memory and completes them in the order that they arrive. Orders for banners differ widely in shape, size, color, wording, graphics and other dimensions so that production of a banner could take anywhere from a couple of minutes to several hours. The average production time is about 1.75 hours. The arrival of orders is also highly variable, ranging from several hours between orders arriving to multiple orders arriving within a few minutes. On average, an order arrives every 112 minutes. You run a quick check on your management software and see that right now you have 15 jobs waiting at the production machine (and one job currently running). You also check the last 5 completed jobs and notice that from the time the job order was sent out to the machine until it was done on the machine was an average of 23 working hours. (While working with this problem, be sure to use at least 3 or 4 significant digits in your intermediate calculations) You manage a job shop creating custom banners for small businesses. You have a single machine that produces all the banners. When an order arrives from a customer, you check over the file for consistency, make adjustments so that the electronic instruction file for the production machine is correct, and then you send it to the machine for production. If the machine is already working on a job, it stores the waiting jobs in memory and completes them in the order that they arrive. Orders for banners differ widely in shape, size, color, wording, graphics and other dimensions so that production of a banner could take anywhere from a couple of minutes to several hours. The average production time is about 1.75 hours. The arrival of orders is also highly variable, ranging from several hours between orders arriving to multiple orders arriving within a few minutes. On average, an order arrives every 112 minutes. You run a quick check on your management software and see that right now you have 15 jobs waiting at the production machine (and one job currently running). You also check the last 5 completed jobs and notice that from the time the job order was sent out to the machine until it was done on the machine was an average of 23 working hours. (While working with this problem, be sure to use at least 3 or 4 significant digits in your intermediate calculations) 5) (10 points) Calculate the average amount of time (in hours) that it takes for a job from when it is sent to the machine until it is completed. 5) (10 points) Calculate the average amount of time (in hours) that it takes for a job from when it is sent to the machine until it is completed. 6) (10 points) Calculate the average number of jobs waiting at the production machine. 6) (10 points) Calculate the average number of jobs waiting at the production machine. 7) (5 points) Should you be concerned that what you calculated in the two previous questions doesn't match up with what you found when you checked the management software? a) Absolutely! There must be something wrong with the machine that is building up queues longer than expected. I will need to call the manufacturer right now and have someone come out and spend several hours checking the workings of the machine. b) No, nothing to worry about here. Calculations are never correct, so any deviation is expected and there is never any reason to worry. c) It depends. The differences don't seem to be really large right now. The calculations are just averages, so any single observation is going to differ. I'll just watch over time and see if the differences change drastically. d) It depends. The differences seem really large and significant right now and they should match up with the calculations almost exactly. I'll have to take frequent samples for a while and see if they start matching the calculations or not. 7) (5 points) Should you be concerned that what you calculated in the two previous questions doesn't match up with what you found when you checked the management software? a) Absolutely! There must be something wrong with the machine that is building up queues longer than expected. I will need to call the manufacturer right now and have someone come out and spend several hours checking the workings of the machine. b) No, nothing to worry about here. Calculations are never correct, so any deviation is expected and there is never any reason to worry. c) It depends. The differences don't seem to be really large right now. The calculations are just averages, so any single observation is going to differ. I'll just watch over time and see if the differences change drastically. d) It depends. The differences seem really large and significant right now and they should match up with the calculations almost exactly. I'll have to take frequent samples for a while and see if they start matching the calculations or not.

Answer rating: 100% (QA)

Answer 5 To calculate the average amount of time it takes for a job from when it is sent to the machine until it is completed we need to consider both ... View the full answer