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Maryland transportation authority decided to setup toll booths on either side of the Fort McHenry tunnel due to increased traffic. After studying the traffic patterns, MTA found that peak traffic occurs in the evenings on Friday and Saturday. On average, 3900 vehicles per hour pass through the tunnel each way during peak times. The vehicles need to go through the toll booths. MTA would like to keep the average time spent at each toll booth to less than 2 minutes. How many lanes should MTA open if they do not want to have more than 10 vehicles waiting in line (on average)? Hint: Start by calculating the number of cars waiting as if there is only one toll booth (i.e., calculate L using the information). Then calculate the number of toll booths needed if each booth is limited to 10 vehicles. NOTE: Round up your answer. For example, if you get an answer of 8.86 then round up the answer to 9.

Maryland transportation authority decided to setup toll booths on either side of the Fort McHenry tunnel due to increased traffic. After studying the traffic patterns, MTA found that peak traffic occurs in the evenings on Friday and Saturday. On average, 3900 vehicles per hour pass through the tunnel each way during peak times. The vehicles need to go through the toll booths. MTA would like to keep the average time spent at each toll booth to less than 2 minutes. How many lanes should MTA open if they do not want to have more than 10 vehicles waiting in line (on average)? Hint: Start by calculating the number of cars waiting as if there is only one toll booth (i.e., calculate L using the information). Then calculate the number of toll booths needed if each booth is limited to 10 vehicles. NOTE: Round up your answer. For example, if you get an answer of 8.86 then round up the answer to 9.

Practical Management Science
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Maryland transportation authority decided to setup toll booths on either side of the Fort McHenry tunnel due to increased traffic. After studying the traffic patterns, MTA found that peak traffic occurs in the evenings on Friday and Saturday. On average, 3900 vehicles per hour pass through the tunnel each way during peak times. The vehicles need to go through the toll booths. MTA would like to keep the average time spent at each toll booth to less than 2 minutes. How many lanes should MTA open if they do not want to have more than 10 vehicles waiting in line (on average)? Hint: Start by calculating the number of cars waiting as if there is only one toll booth (i.e., calculate L using the information). Then calculate the number of toll booths needed if each booth is limited to 10 vehicles. NOTE: Round up your answer. For example, if you get an answer of 8.86 then round up the answer to 9.
Transcribed Image Text:Maryland transportation authority decided to setup toll booths on either side of the Fort McHenry tunnel due to increased traffic. After studying the traffic patterns, MTA found that peak traffic occurs in the evenings on Friday and Saturday. On average, 3900 vehicles per hour pass through the tunnel each way during peak times. The vehicles need to go through the toll booths. MTA would like to keep the average time spent at each toll booth to less than 2 minutes. How many lanes should MTA open if they do not want to have more than 10 vehicles waiting in line (on average)? Hint: Start by calculating the number of cars waiting as if there is only one toll booth (i.e., calculate L using the information). Then calculate the number of toll booths needed if each booth is limited to 10 vehicles. NOTE: Round up your answer. For example, if you get an answer of 8.86 then round up the answer to 9.
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