In question 4, why did we consider the needed waiting for trucks from 6pm to 8am?

Practical Management Science
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Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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In question 4, why did we consider the needed waiting for trucks from 6pm to 8am?

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Business / Accounting / Q&A Library / The Western Penn...
The Western Pennsylvania Milk Compa...
Step 3
Also, given in the question that Waiting time
charges per each truck per hour is = $ 50
Total Number of waiting trucks holding milk (from
step 2) = 20 trucks
Assuming that Milk production demand has been
fulfilled by 6 P.M. at the end of day and ending
inventory requirement is loaded in Trucks from 6
РМ.
Total number of hours that each truck needed to
wait = 14 hours (i.e., from 6 PM to 8 AM)
Thus, total waiting time charges on a day => 14
hours X 20 trucks X $ 50 per truck
=> $ 14,000 is the total waiting charges on a day.
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Transcribed Image Text:2:42 ull AA A bartleby.com = bartleby ® Q&A Business / Accounting / Q&A Library / The Western Penn... The Western Pennsylvania Milk Compa... Step 3 Also, given in the question that Waiting time charges per each truck per hour is = $ 50 Total Number of waiting trucks holding milk (from step 2) = 20 trucks Assuming that Milk production demand has been fulfilled by 6 P.M. at the end of day and ending inventory requirement is loaded in Trucks from 6 РМ. Total number of hours that each truck needed to wait = 14 hours (i.e., from 6 PM to 8 AM) Thus, total waiting time charges on a day => 14 hours X 20 trucks X $ 50 per truck => $ 14,000 is the total waiting charges on a day. Was this solution helpful?
Western Pennsylvania Milk Company (Inventory Buildup and Backlog)
The Western Pennsylvania Milk Company is producing milk at a fixed rate of 5,000 gallons/hour. The
company's clients request 100,000 gallons of milk over the course of one day. This demand is spread out
uniformly from 8 a.m. to 6 p.m. If there is no milk available, clients will wait until enough is produced to
satisfy their requests.
The company starts producing at 8 a.m. with 25,000 gallons in finished goods inventory. At the end of
the day, after all demand has been fulfilled, the plant keeps on producing until the finished goods
inventory has been restored to 25,000 gallons.
When answering the following questions, treat trucks/milk as a continuous flow process. Begin by
drawing a graph indicating how much milk is in inventory and how much milk is "back-ordered" over the
course of the day.
1. At what time during the day will the clients have to start waiting for their requests to be filled?
2. At what time will clients stop waiting?
3. Assume that the milk is picked up in trucks that hold 1,250 gallons each. What is the maximum
number of trucks that are waiting?
4. Assume the plant is charged $50 per hour per waiting truck. What are the total waiting time
charges on a day?
Transcribed Image Text:Western Pennsylvania Milk Company (Inventory Buildup and Backlog) The Western Pennsylvania Milk Company is producing milk at a fixed rate of 5,000 gallons/hour. The company's clients request 100,000 gallons of milk over the course of one day. This demand is spread out uniformly from 8 a.m. to 6 p.m. If there is no milk available, clients will wait until enough is produced to satisfy their requests. The company starts producing at 8 a.m. with 25,000 gallons in finished goods inventory. At the end of the day, after all demand has been fulfilled, the plant keeps on producing until the finished goods inventory has been restored to 25,000 gallons. When answering the following questions, treat trucks/milk as a continuous flow process. Begin by drawing a graph indicating how much milk is in inventory and how much milk is "back-ordered" over the course of the day. 1. At what time during the day will the clients have to start waiting for their requests to be filled? 2. At what time will clients stop waiting? 3. Assume that the milk is picked up in trucks that hold 1,250 gallons each. What is the maximum number of trucks that are waiting? 4. Assume the plant is charged $50 per hour per waiting truck. What are the total waiting time charges on a day?
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