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A repairman is to be hired by a company to repair machines whose break-down follow a Poisson process, with an average rate of four per hour. The cost of non-productive machine time is Rs. 90 per hour. The company has the option of choosing either a fast or slow repairman. The fast repairman (F) charges Rs. 70 per hour and will repair machines at an average rate of 7 per hour. While the slow repairman charges Rs. 50 per hour and repairs machines at an average rate of Rs. 6 per hour. Which repairman should be hired?
- a)Fast repairman
- b)Slow repairman
- c)Both
- d)Insufficient data
Correct answer is option 'A'. Can you explain this answer?
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A repairman is to be hired by a company to repair machines whose break...
Fast repairman Total wage = 70 × 8 = 560
Expected number of machinery in system
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A repairman is to be hired by a company to repair machines whose break...
Given:
- Breakdowns follow a Poisson process
- Average rate of breakdowns is 4 per hour
- Cost of non-productive machine time is Rs. 90 per hour
- Fast repairman (F) charges Rs. 70 per hour and repairs machines at an average rate of 7 per hour
- Slow repairman charges Rs. 50 per hour and repairs machines at an average rate of Rs. 6 per hour
To determine which repairman to hire, we need to compare the cost of non-productive machine time with the cost of repair for each repairman.
1. Cost of non-productive machine time
The cost of non-productive machine time is Rs. 90 per hour. This means that for every hour that a machine is not working, the company loses Rs. 90 in potential revenue.
2. Cost of repair for fast repairman (F)
The fast repairman charges Rs. 70 per hour and repairs machines at an average rate of 7 per hour. This means that the cost of repair for each machine is Rs. 10 (70/7).
3. Cost of repair for slow repairman
The slow repairman charges Rs. 50 per hour and repairs machines at an average rate of 6 per hour. This means that the cost of repair for each machine is Rs. 8.33 (50/6).
4. Comparison
To determine which repairman to hire, we need to compare the cost of repair for each repairman with the cost of non-productive machine time.
- Cost of repair for fast repairman: Rs. 10 per machine
- Cost of repair for slow repairman: Rs. 8.33 per machine
- Average rate of breakdowns: 4 per hour
- Cost of non-productive machine time: Rs. 90 per hour
If we hire the fast repairman, the cost of repair for each machine is Rs. 10. At an average rate of 7 machines per hour, the total cost of repair per hour is Rs. 70.
If we hire the slow repairman, the cost of repair for each machine is Rs. 8.33. At an average rate of 6 machines per hour, the total cost of repair per hour is Rs. 50.
Since the cost of repair for the fast repairman is lower than the cost of non-productive machine time, it is more cost-effective to hire the fast repairman. Therefore, the correct answer is option 'A' - Fast repairman.
- Breakdowns follow a Poisson process
- Average rate of breakdowns is 4 per hour
- Cost of non-productive machine time is Rs. 90 per hour
- Fast repairman (F) charges Rs. 70 per hour and repairs machines at an average rate of 7 per hour
- Slow repairman charges Rs. 50 per hour and repairs machines at an average rate of Rs. 6 per hour
To determine which repairman to hire, we need to compare the cost of non-productive machine time with the cost of repair for each repairman.
1. Cost of non-productive machine time
The cost of non-productive machine time is Rs. 90 per hour. This means that for every hour that a machine is not working, the company loses Rs. 90 in potential revenue.
2. Cost of repair for fast repairman (F)
The fast repairman charges Rs. 70 per hour and repairs machines at an average rate of 7 per hour. This means that the cost of repair for each machine is Rs. 10 (70/7).
3. Cost of repair for slow repairman
The slow repairman charges Rs. 50 per hour and repairs machines at an average rate of 6 per hour. This means that the cost of repair for each machine is Rs. 8.33 (50/6).
4. Comparison
To determine which repairman to hire, we need to compare the cost of repair for each repairman with the cost of non-productive machine time.
- Cost of repair for fast repairman: Rs. 10 per machine
- Cost of repair for slow repairman: Rs. 8.33 per machine
- Average rate of breakdowns: 4 per hour
- Cost of non-productive machine time: Rs. 90 per hour
If we hire the fast repairman, the cost of repair for each machine is Rs. 10. At an average rate of 7 machines per hour, the total cost of repair per hour is Rs. 70.
If we hire the slow repairman, the cost of repair for each machine is Rs. 8.33. At an average rate of 6 machines per hour, the total cost of repair per hour is Rs. 50.
Since the cost of repair for the fast repairman is lower than the cost of non-productive machine time, it is more cost-effective to hire the fast repairman. Therefore, the correct answer is option 'A' - Fast repairman.
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A repairman is to be hired by a company to repair machines whose break-down follow a Poisson process, with an average rate of four per hour. The cost of non-productive machine time is Rs. 90 per hour. The company has the option of choosing either a fast or slow repairman. The fast repairman (F) charges Rs. 70 per hour and will repair machines at an average rate of 7 per hour. While the slow repairman charges Rs. 50 per hour and repairs machines at an average rate of Rs. 6 per hour. Which repairman should be hired?a)Fast repairmanb)Slow repairmanc)Bothd)Insufficient dataCorrect answer is option 'A'. Can you explain this answer?
Question Description
A repairman is to be hired by a company to repair machines whose break-down follow a Poisson process, with an average rate of four per hour. The cost of non-productive machine time is Rs. 90 per hour. The company has the option of choosing either a fast or slow repairman. The fast repairman (F) charges Rs. 70 per hour and will repair machines at an average rate of 7 per hour. While the slow repairman charges Rs. 50 per hour and repairs machines at an average rate of Rs. 6 per hour. Which repairman should be hired?a)Fast repairmanb)Slow repairmanc)Bothd)Insufficient dataCorrect answer is option 'A'. 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 A repairman is to be hired by a company to repair machines whose break-down follow a Poisson process, with an average rate of four per hour. The cost of non-productive machine time is Rs. 90 per hour. The company has the option of choosing either a fast or slow repairman. The fast repairman (F) charges Rs. 70 per hour and will repair machines at an average rate of 7 per hour. While the slow repairman charges Rs. 50 per hour and repairs machines at an average rate of Rs. 6 per hour. Which repairman should be hired?a)Fast repairmanb)Slow repairmanc)Bothd)Insufficient dataCorrect answer is option 'A'. 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 A repairman is to be hired by a company to repair machines whose break-down follow a Poisson process, with an average rate of four per hour. The cost of non-productive machine time is Rs. 90 per hour. The company has the option of choosing either a fast or slow repairman. The fast repairman (F) charges Rs. 70 per hour and will repair machines at an average rate of 7 per hour. While the slow repairman charges Rs. 50 per hour and repairs machines at an average rate of Rs. 6 per hour. Which repairman should be hired?a)Fast repairmanb)Slow repairmanc)Bothd)Insufficient dataCorrect answer is option 'A'. Can you explain this answer?.
A repairman is to be hired by a company to repair machines whose break-down follow a Poisson process, with an average rate of four per hour. The cost of non-productive machine time is Rs. 90 per hour. The company has the option of choosing either a fast or slow repairman. The fast repairman (F) charges Rs. 70 per hour and will repair machines at an average rate of 7 per hour. While the slow repairman charges Rs. 50 per hour and repairs machines at an average rate of Rs. 6 per hour. Which repairman should be hired?a)Fast repairmanb)Slow repairmanc)Bothd)Insufficient dataCorrect answer is option 'A'. 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 A repairman is to be hired by a company to repair machines whose break-down follow a Poisson process, with an average rate of four per hour. The cost of non-productive machine time is Rs. 90 per hour. The company has the option of choosing either a fast or slow repairman. The fast repairman (F) charges Rs. 70 per hour and will repair machines at an average rate of 7 per hour. While the slow repairman charges Rs. 50 per hour and repairs machines at an average rate of Rs. 6 per hour. Which repairman should be hired?a)Fast repairmanb)Slow repairmanc)Bothd)Insufficient dataCorrect answer is option 'A'. 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 A repairman is to be hired by a company to repair machines whose break-down follow a Poisson process, with an average rate of four per hour. The cost of non-productive machine time is Rs. 90 per hour. The company has the option of choosing either a fast or slow repairman. The fast repairman (F) charges Rs. 70 per hour and will repair machines at an average rate of 7 per hour. While the slow repairman charges Rs. 50 per hour and repairs machines at an average rate of Rs. 6 per hour. Which repairman should be hired?a)Fast repairmanb)Slow repairmanc)Bothd)Insufficient dataCorrect answer is option 'A'. Can you explain this answer?.
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ample number of questions to practice A repairman is to be hired by a company to repair machines whose break-down follow a Poisson process, with an average rate of four per hour. The cost of non-productive machine time is Rs. 90 per hour. The company has the option of choosing either a fast or slow repairman. The fast repairman (F) charges Rs. 70 per hour and will repair machines at an average rate of 7 per hour. While the slow repairman charges Rs. 50 per hour and repairs machines at an average rate of Rs. 6 per hour. Which repairman should be hired?a)Fast repairmanb)Slow repairmanc)Bothd)Insufficient dataCorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice Mechanical Engineering tests.
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