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In a small clinic only one case is possible to handle at a time, patients arrive on an average of 3 per hour. The mean service time should be less than _________ minutes per patient so that the average time in the system is less than 15 minutes.
- a)8
- b)9
Correct answer is between ' 8, 9'. Can you explain this answer?
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The average arrival rate of patients is given as 3 per hour. This means that, on average, three patients arrive at the clinic every hour.
In order to determine the mean service time, we need to calculate the average time it takes to serve each patient.
Let's assume that the mean service time is x minutes per patient.
The average number of patients served per hour can be calculated using Little's Law, which states that the average number of customers in a stable system is equal to the average arrival rate multiplied by the average time spent in the system.
Given that the average time in the system should be less than 15 minutes, we have:
Average time in the system = 15 minutes
Average arrival rate = 3 patients per hour
Using Little's Law, we can write the equation as:
3 patients/hour = x minutes/patient * 15 minutes
Simplifying the equation, we have:
3 = 15x
Dividing both sides by 15, we get:
x = 3/15 = 1/5 = 0.2 minutes
Therefore, the mean service time should be less than 0.2 minutes per patient in order to ensure that the average time in the system is less than 15 minutes.
Converting 0.2 minutes to seconds, we have:
0.2 minutes * 60 seconds/minute = 12 seconds
Hence, the mean service time should be less than 12 seconds per patient.
Since the options given are in minutes, we can convert 12 seconds to minutes by dividing by 60:
12 seconds / 60 seconds/minute = 0.2 minutes
Thus, the mean service time should be less than 0.2 minutes, which is equivalent to 12 seconds per patient.
Therefore, the correct answer is between 8 and 9 minutes, as the mean service time should be less than 12 seconds per patient or 0.2 minutes per patient.
In order to determine the mean service time, we need to calculate the average time it takes to serve each patient.
Let's assume that the mean service time is x minutes per patient.
The average number of patients served per hour can be calculated using Little's Law, which states that the average number of customers in a stable system is equal to the average arrival rate multiplied by the average time spent in the system.
Given that the average time in the system should be less than 15 minutes, we have:
Average time in the system = 15 minutes
Average arrival rate = 3 patients per hour
Using Little's Law, we can write the equation as:
3 patients/hour = x minutes/patient * 15 minutes
Simplifying the equation, we have:
3 = 15x
Dividing both sides by 15, we get:
x = 3/15 = 1/5 = 0.2 minutes
Therefore, the mean service time should be less than 0.2 minutes per patient in order to ensure that the average time in the system is less than 15 minutes.
Converting 0.2 minutes to seconds, we have:
0.2 minutes * 60 seconds/minute = 12 seconds
Hence, the mean service time should be less than 12 seconds per patient.
Since the options given are in minutes, we can convert 12 seconds to minutes by dividing by 60:
12 seconds / 60 seconds/minute = 0.2 minutes
Thus, the mean service time should be less than 0.2 minutes, which is equivalent to 12 seconds per patient.
Therefore, the correct answer is between 8 and 9 minutes, as the mean service time should be less than 12 seconds per patient or 0.2 minutes per patient.
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In a small clinic only one case is possible to handle at a time, patients arrive on an average of 3 per hour. The mean service time should be less than _________ minutes per patient so that the average time in the system is less than 15 minutes.a) 8b) 9Correct answer is between ' 8, 9'. Can you explain this answer?
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In a small clinic only one case is possible to handle at a time, patients arrive on an average of 3 per hour. The mean service time should be less than _________ minutes per patient so that the average time in the system is less than 15 minutes.a) 8b) 9Correct answer is between ' 8, 9'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In a small clinic only one case is possible to handle at a time, patients arrive on an average of 3 per hour. The mean service time should be less than _________ minutes per patient so that the average time in the system is less than 15 minutes.a) 8b) 9Correct answer is between ' 8, 9'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a small clinic only one case is possible to handle at a time, patients arrive on an average of 3 per hour. The mean service time should be less than _________ minutes per patient so that the average time in the system is less than 15 minutes.a) 8b) 9Correct answer is between ' 8, 9'. Can you explain this answer?.
In a small clinic only one case is possible to handle at a time, patients arrive on an average of 3 per hour. The mean service time should be less than _________ minutes per patient so that the average time in the system is less than 15 minutes.a) 8b) 9Correct answer is between ' 8, 9'. Can you explain this answer? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about In a small clinic only one case is possible to handle at a time, patients arrive on an average of 3 per hour. The mean service time should be less than _________ minutes per patient so that the average time in the system is less than 15 minutes.a) 8b) 9Correct answer is between ' 8, 9'. Can you explain this answer? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a small clinic only one case is possible to handle at a time, patients arrive on an average of 3 per hour. The mean service time should be less than _________ minutes per patient so that the average time in the system is less than 15 minutes.a) 8b) 9Correct answer is between ' 8, 9'. Can you explain this answer?.
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In a small clinic only one case is possible to handle at a time, patients arrive on an average of 3 per hour. The mean service time should be less than _________ minutes per patient so that the average time in the system is less than 15 minutes.a) 8b) 9Correct answer is between ' 8, 9'. Can you explain this answer?, a detailed solution for In a small clinic only one case is possible to handle at a time, patients arrive on an average of 3 per hour. The mean service time should be less than _________ minutes per patient so that the average time in the system is less than 15 minutes.a) 8b) 9Correct answer is between ' 8, 9'. Can you explain this answer? has been provided alongside types of In a small clinic only one case is possible to handle at a time, patients arrive on an average of 3 per hour. The mean service time should be less than _________ minutes per patient so that the average time in the system is less than 15 minutes.a) 8b) 9Correct answer is between ' 8, 9'. Can you explain this answer? theory, EduRev gives you an
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