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At a food processing and packaging plant, identical packets of confectionary items are prepared at a constant rate by a packaging machine. Each packet contains 3 chocolates, 4 candied nuts and 2 chewing gums. The production rate of chocolates, candied nuts and chewing gums at the plant is 750, 975 and 575 units per hour respectively. All the produced items are immediately sent to a common quality checking machine that can process 3000 units of confectionary items per hour. 20 percent each of chocolates, candied nuts and chewing gums fail the quality check. The remaining items are sent to the packaging plant without any holdup or delay. Which of the following can represent the number of packets of confectionary items prepared by the packaging machine in one hour?
I. 195
II. 230
III. 280
II. 230
III. 280
- a)I only
- b)II only
- c)III only
- d)I and II only
- e)I, II and III
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
At a food processing and packaging plant, identical packets of confect...
Given:
- Contents of 1 packet:
- Chocolates = 3
- Candied Nuts = 4
- Chewing Gums = 2
- The production rate (number of units produced per hour) is as under:
- The maximum units that the quality checking machine can process in 1 hour = 3000
- Since the total number of items produced per hour is only 2300 (less than 3000), this means, there is no holdup/ delay at the quality checking machine. The machine is able to immediately process each produced item.
- 20% each of Chocolates, Candied Nuts and Chewing Gums fail the test This means, only 80% of the produced Chocolates, Candied Nuts and Chewing Gums go to the packaging plant.
To Find: Can the number of packets prepared by the packaging machine in 1 hour be {195, 230, 280}?
Approach:
- To answer the question, we first need to understand what are the constraints on the number of packets prepared by the packaging machine in 1 hour.
- Constraint 1 – The processing capacity of the packaging machine. For example, say the packaging machine is only able to prepare 100 packets per hour.
- Constraint 2 – The number of Chocolates, Candied Nuts and Chewing Gums available to the packaging machine per hour.
- For example, say the packaging machine has the capacity to prepare 10,000 packets per hour but only 30 chocolates come into the packaging machine in one hour. This means, the packaging machine can only produce 10 packets in one hour (since each packet must contain 3 chocolates). This will be the case if the number of Candied Nuts and Chewing Gums is not a limiting factor.
- Now assume a further scenario where only 30 chocolates, 8 candied nuts and 10 chewing gums come into the packaging machine per hour. In this case, the packaging machine can only produce 2 packets per hour (since each packet must contain 4 candied nuts). The number of candied nuts proved to a limiting factor in this scenario.
- So, our approach will be to first find the number of Chocolates, Candied Nuts and Chewing Gums available to the packaging machine per hour (as inferred in the Given section, this number is equal to 80% of the respective production rates of these 3 items)
- Next, we’ll find which of these 3 items acts as a limiting factor, and will find the number of packets that are produced per hour in the case of the limiting factor.
Working out:
- So, each hour the packaging machine gets 600 Chocolates, 780 Candied Nuts and 460 Chewing Gums.
- Once again, remember that each packet contains 3 Chocolates, 4 Candied Nuts and 2 Chewing Gums.
- So, the maximum number of packets that can be packaged in 1 hour =
- Note that Candied Nuts acted as a limiting factor in the number of packets produced per hour.
- So, given the current production (and quality check failing) rates of Chocolates, Candied Nuts and Chewing Gums, the maximum number of packets that can be produced per hour is 195.
- The production will be 195 packets per hour if the processing capacity of the packaging machine is not the limiting factor (that is, Constraint 1 doesn’t come into play, as in the example we considered above where the machine was even capable of packaging 10,000 packets per hour but was limited in its actual output by the number of Chocolates, Candied Nuts and Chewing Gums that were available to it per hour)
- However, if the processing capacity of the packaging machine is the limiting factor, then the actual number of packets produced will be less than 195.
- For example, say the packaging machine can only process 50 packets in 1 hour. Then, even though it is getting enough Chocolates, Candied Nuts and Chewing Gums to be able to pack 195 packets in one hour, it will only be able to pack 50 packets in 1 hour (resulting in a huge stockpiling of Chocolates, Candied Nuts and Chewing Gums at the site of the packaging machine!)
- Thus, the number of packets produced per hour will be less than or equal to 195.
- Out of the 3 given values, the only value possible is Value 1 (195)
Looking at the answer choices, we see that the correct answer is Option A
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At a food processing and packaging plant, identical packets of confectionary items are prepared at a constant rate by a packaging machine. Each packet contains 3 chocolates, 4 candied nuts and 2 chewing gums. The production rate of chocolates, candied nuts and chewing gums at the plant is 750, 975 and 575 units per hour respectively. All the produced items are immediately sent to a common quality checking machine that can process 3000 units of confectionary items per hour. 20 percent each of chocolates, candied nuts and chewing gums fail the quality check. The remaining items are sent to the packaging plant without any holdup or delay. Which of the following can represent the number of packets of confectionary items prepared by the packaging machine in one hour?I. 195II. 230III. 280a)I onlyb)II onlyc)III onlyd)I and II onlye)I, II and IIICorrect answer is option 'A'. Can you explain this answer?
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At a food processing and packaging plant, identical packets of confectionary items are prepared at a constant rate by a packaging machine. Each packet contains 3 chocolates, 4 candied nuts and 2 chewing gums. The production rate of chocolates, candied nuts and chewing gums at the plant is 750, 975 and 575 units per hour respectively. All the produced items are immediately sent to a common quality checking machine that can process 3000 units of confectionary items per hour. 20 percent each of chocolates, candied nuts and chewing gums fail the quality check. The remaining items are sent to the packaging plant without any holdup or delay. Which of the following can represent the number of packets of confectionary items prepared by the packaging machine in one hour?I. 195II. 230III. 280a)I onlyb)II onlyc)III onlyd)I and II onlye)I, II and IIICorrect answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about At a food processing and packaging plant, identical packets of confectionary items are prepared at a constant rate by a packaging machine. Each packet contains 3 chocolates, 4 candied nuts and 2 chewing gums. The production rate of chocolates, candied nuts and chewing gums at the plant is 750, 975 and 575 units per hour respectively. All the produced items are immediately sent to a common quality checking machine that can process 3000 units of confectionary items per hour. 20 percent each of chocolates, candied nuts and chewing gums fail the quality check. The remaining items are sent to the packaging plant without any holdup or delay. Which of the following can represent the number of packets of confectionary items prepared by the packaging machine in one hour?I. 195II. 230III. 280a)I onlyb)II onlyc)III onlyd)I and II onlye)I, II and IIICorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a food processing and packaging plant, identical packets of confectionary items are prepared at a constant rate by a packaging machine. Each packet contains 3 chocolates, 4 candied nuts and 2 chewing gums. The production rate of chocolates, candied nuts and chewing gums at the plant is 750, 975 and 575 units per hour respectively. All the produced items are immediately sent to a common quality checking machine that can process 3000 units of confectionary items per hour. 20 percent each of chocolates, candied nuts and chewing gums fail the quality check. The remaining items are sent to the packaging plant without any holdup or delay. Which of the following can represent the number of packets of confectionary items prepared by the packaging machine in one hour?I. 195II. 230III. 280a)I onlyb)II onlyc)III onlyd)I and II onlye)I, II and IIICorrect answer is option 'A'. Can you explain this answer?.
At a food processing and packaging plant, identical packets of confectionary items are prepared at a constant rate by a packaging machine. Each packet contains 3 chocolates, 4 candied nuts and 2 chewing gums. The production rate of chocolates, candied nuts and chewing gums at the plant is 750, 975 and 575 units per hour respectively. All the produced items are immediately sent to a common quality checking machine that can process 3000 units of confectionary items per hour. 20 percent each of chocolates, candied nuts and chewing gums fail the quality check. The remaining items are sent to the packaging plant without any holdup or delay. Which of the following can represent the number of packets of confectionary items prepared by the packaging machine in one hour?I. 195II. 230III. 280a)I onlyb)II onlyc)III onlyd)I and II onlye)I, II and IIICorrect answer is option 'A'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about At a food processing and packaging plant, identical packets of confectionary items are prepared at a constant rate by a packaging machine. Each packet contains 3 chocolates, 4 candied nuts and 2 chewing gums. The production rate of chocolates, candied nuts and chewing gums at the plant is 750, 975 and 575 units per hour respectively. All the produced items are immediately sent to a common quality checking machine that can process 3000 units of confectionary items per hour. 20 percent each of chocolates, candied nuts and chewing gums fail the quality check. The remaining items are sent to the packaging plant without any holdup or delay. Which of the following can represent the number of packets of confectionary items prepared by the packaging machine in one hour?I. 195II. 230III. 280a)I onlyb)II onlyc)III onlyd)I and II onlye)I, II and IIICorrect answer is option 'A'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for At a food processing and packaging plant, identical packets of confectionary items are prepared at a constant rate by a packaging machine. Each packet contains 3 chocolates, 4 candied nuts and 2 chewing gums. The production rate of chocolates, candied nuts and chewing gums at the plant is 750, 975 and 575 units per hour respectively. All the produced items are immediately sent to a common quality checking machine that can process 3000 units of confectionary items per hour. 20 percent each of chocolates, candied nuts and chewing gums fail the quality check. The remaining items are sent to the packaging plant without any holdup or delay. Which of the following can represent the number of packets of confectionary items prepared by the packaging machine in one hour?I. 195II. 230III. 280a)I onlyb)II onlyc)III onlyd)I and II onlye)I, II and IIICorrect answer is option 'A'. Can you explain this answer?.
Solutions for At a food processing and packaging plant, identical packets of confectionary items are prepared at a constant rate by a packaging machine. Each packet contains 3 chocolates, 4 candied nuts and 2 chewing gums. The production rate of chocolates, candied nuts and chewing gums at the plant is 750, 975 and 575 units per hour respectively. All the produced items are immediately sent to a common quality checking machine that can process 3000 units of confectionary items per hour. 20 percent each of chocolates, candied nuts and chewing gums fail the quality check. The remaining items are sent to the packaging plant without any holdup or delay. Which of the following can represent the number of packets of confectionary items prepared by the packaging machine in one hour?I. 195II. 230III. 280a)I onlyb)II onlyc)III onlyd)I and II onlye)I, II and IIICorrect answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for UPSC.
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ample number of questions to practice At a food processing and packaging plant, identical packets of confectionary items are prepared at a constant rate by a packaging machine. Each packet contains 3 chocolates, 4 candied nuts and 2 chewing gums. The production rate of chocolates, candied nuts and chewing gums at the plant is 750, 975 and 575 units per hour respectively. All the produced items are immediately sent to a common quality checking machine that can process 3000 units of confectionary items per hour. 20 percent each of chocolates, candied nuts and chewing gums fail the quality check. The remaining items are sent to the packaging plant without any holdup or delay. Which of the following can represent the number of packets of confectionary items prepared by the packaging machine in one hour?I. 195II. 230III. 280a)I onlyb)II onlyc)III onlyd)I and II onlye)I, II and IIICorrect answer is option 'A'. Can you explain this answer? tests, examples and also practice UPSC tests.
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