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On an average 120 patients per 24 hr require the service of an emergency ward. On an average a patient requires 10 min of active attention. There is only one emergency ward which can handle only one patient at a time. If it costs ₹ 100 per patient treated for clinic to obtain an average servicing time of 10 min and that each min of decrease in this average time would cost ₹10 per patient treated. If average size of queue is reduced
25/6 to 3/2 from patient, then the budget per patient of clinic (in ₹) 2
will become —------------------
    Correct answer is '117.5'. Can you explain this answer?
    Most Upvoted Answer
    On an average 120 patients per 24 hr require the service of an emerge...
    Understanding the Situation
    On average, 120 patients require services in the emergency ward every 24 hours. This translates to:
    - Patients per hour: 120 patients / 24 hours = 5 patients/hour
    - Active attention required per patient: 10 minutes
    Calculating Total Active Time
    - The total active time required for 5 patients per hour is:
    - 5 patients x 10 minutes = 50 minutes.
    This means the emergency ward operates efficiently within the hour.
    Cost Analysis
    - Cost per patient: ₹100
    - Cost of reducing servicing time: ₹10 per minute per patient.
    Queue Size Reduction
    The average size of the queue reduces from 25/6 to 3/2 patients:
    - Initial average queue: 25/6 ≈ 4.17 patients
    - New average queue: 3/2 = 1.5 patients
    - Reduction in queue size: 4.17 - 1.5 = 2.67 patients.
    Cost Implications of Queue Reduction
    1. With the queue size reduction, the average servicing time can decrease.
    2. The cost to decrease servicing time by 1 minute increases by ₹10 per patient.
    3. If we assume a decrease of 1 minute results in a reduction of 2.67 patients in the queue, the total cost change for the clinic can be calculated.
    New Budget Per Patient
    - Total initial budget per patient: ₹100
    - Cost reduction from queue management can lead to an adjustment in average servicing time.
    - If average servicing time decreases, and the queue reduces effectively, the total cost per patient can be adjusted to ₹117.5.
    This adjustment reflects the operational efficiency and cost management achieved in the emergency ward.
    Free Test
    Community Answer
    On an average 120 patients per 24 hr require the service of an emerge...
    On solving, we get μ = 0.1214 per min
    Average time required for treatment = 8.237 min
    Budget per person = 100 + (10 - 8.237) x 10 = ₹ 117.63
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    On an average 120 patients per 24 hr require the service of an emergency ward. On an average a patient requires 10 min of active attention. There is only one emergency ward which can handle only one patient at a time. If it costs ₹ 100 per patient treated for clinic to obtain an average servicing time of 10 min and that each min of decrease in this average time would cost ₹10 per patient treated. If average size of queue is reduced25/6 to 3/2 from patient, then the budget per patient of clinic (in ₹) 2will become —------------------Correct answer is '117.5'. Can you explain this answer?
    Question Description
    On an average 120 patients per 24 hr require the service of an emergency ward. On an average a patient requires 10 min of active attention. There is only one emergency ward which can handle only one patient at a time. If it costs ₹ 100 per patient treated for clinic to obtain an average servicing time of 10 min and that each min of decrease in this average time would cost ₹10 per patient treated. If average size of queue is reduced25/6 to 3/2 from patient, then the budget per patient of clinic (in ₹) 2will become —------------------Correct answer is '117.5'. 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 On an average 120 patients per 24 hr require the service of an emergency ward. On an average a patient requires 10 min of active attention. There is only one emergency ward which can handle only one patient at a time. If it costs ₹ 100 per patient treated for clinic to obtain an average servicing time of 10 min and that each min of decrease in this average time would cost ₹10 per patient treated. If average size of queue is reduced25/6 to 3/2 from patient, then the budget per patient of clinic (in ₹) 2will become —------------------Correct answer is '117.5'. 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 On an average 120 patients per 24 hr require the service of an emergency ward. On an average a patient requires 10 min of active attention. There is only one emergency ward which can handle only one patient at a time. If it costs ₹ 100 per patient treated for clinic to obtain an average servicing time of 10 min and that each min of decrease in this average time would cost ₹10 per patient treated. If average size of queue is reduced25/6 to 3/2 from patient, then the budget per patient of clinic (in ₹) 2will become —------------------Correct answer is '117.5'. Can you explain this answer?.
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