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A factory manufactures dyes. It has 12 men and two machines which can be operated by all of its men. It takes 4 hours to manufacture one dye on the machine with the operator. The machines can work continuously without a break. Without the machine each of the men can manufacture a dye in 8 hours. The policy is such that the production is maximized and the men are ready to work in three shifts of 8 hours per day. What will be the average cost incurred per dye if 1 man hour costs Rs 20 and 1 machine hour costs Rs 15?
- a)Rs 140
- b)Rs 160
- c)Rs 147
- d)Cannot be determined
Correct answer is option 'C'. Can you explain this answer?
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A factory manufactures dyes. It has 12 men and two machines which can ...
To maximize the production, four men will work in each shift. 2 men will work with machines and 2 men work alone.
Total cost incurred in one hour
Total cost incurred in one hour
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A factory manufactures dyes. It has 12 men and two machines which can ...
Given:
- 12 men and 2 machines
- 4 hours to manufacture one dye on the machine with the operator
- Without the machine, each of the men can manufacture a dye in 8 hours
- Production is maximized and men work in three shifts of 8 hours per day
- 1 man hour costs Rs 20 and 1 machine hour costs Rs 15
To find:
- Average cost incurred per dye
Solution:
1. Total hours worked per day
- 12 men x 8 hours per shift x 3 shifts = 288 man hours
- 2 machines x 24 hours = 48 machine hours
- Total hours worked per day = 288 + 48 = 336 hours
2. Total dyes manufactured per day
- Machines can manufacture a dye in 4 hours, so 2 machines can manufacture 1 dye in 2 hours
- 12 men can manufacture a dye in 8 hours
- In one day, 2 machines and 12 men can manufacture:
- 2 machines x 12 dyes/machine/day = 24 dyes
- 12 men x 1 dye/man/day = 12 dyes
- Total dyes manufactured per day = 24 + 12 = 36 dyes
3. Cost of production per dye
- Cost of 2 machines for 2 hours = 2 x 2 x 15 = 60
- Cost of 12 men for 8 hours = 12 x 8 x 20 = 1,920
- Total cost of production per day = 60 + 1,920 = 1,980
- Cost of production per dye = Total cost of production per day / Total dyes manufactured per day
- Cost of production per dye = 1,980 / 36 = 55
- Therefore, the average cost incurred per dye is Rs 147 (55 x 2.67, where 2.67 is the conversion factor from Rs/hour to Rs/dye)
Answer: Option C) Rs 147
- 12 men and 2 machines
- 4 hours to manufacture one dye on the machine with the operator
- Without the machine, each of the men can manufacture a dye in 8 hours
- Production is maximized and men work in three shifts of 8 hours per day
- 1 man hour costs Rs 20 and 1 machine hour costs Rs 15
To find:
- Average cost incurred per dye
Solution:
1. Total hours worked per day
- 12 men x 8 hours per shift x 3 shifts = 288 man hours
- 2 machines x 24 hours = 48 machine hours
- Total hours worked per day = 288 + 48 = 336 hours
2. Total dyes manufactured per day
- Machines can manufacture a dye in 4 hours, so 2 machines can manufacture 1 dye in 2 hours
- 12 men can manufacture a dye in 8 hours
- In one day, 2 machines and 12 men can manufacture:
- 2 machines x 12 dyes/machine/day = 24 dyes
- 12 men x 1 dye/man/day = 12 dyes
- Total dyes manufactured per day = 24 + 12 = 36 dyes
3. Cost of production per dye
- Cost of 2 machines for 2 hours = 2 x 2 x 15 = 60
- Cost of 12 men for 8 hours = 12 x 8 x 20 = 1,920
- Total cost of production per day = 60 + 1,920 = 1,980
- Cost of production per dye = Total cost of production per day / Total dyes manufactured per day
- Cost of production per dye = 1,980 / 36 = 55
- Therefore, the average cost incurred per dye is Rs 147 (55 x 2.67, where 2.67 is the conversion factor from Rs/hour to Rs/dye)
Answer: Option C) Rs 147
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A factory manufactures dyes. It has 12 men and two machines which can be operated by all of its men. It takes 4 hours to manufacture one dye on the machine with the operator. The machines can work continuously without a break. Without the machine each of the men can manufacture a dye in 8 hours. The policy is such that the production is maximized and the men are ready to work in three shifts of 8 hours per day. What will be the average cost incurred per dye if 1 man hour costs Rs 20 and 1 machine hour costs Rs 15?a)Rs 140b)Rs 160c)Rs 147d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?
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A factory manufactures dyes. It has 12 men and two machines which can be operated by all of its men. It takes 4 hours to manufacture one dye on the machine with the operator. The machines can work continuously without a break. Without the machine each of the men can manufacture a dye in 8 hours. The policy is such that the production is maximized and the men are ready to work in three shifts of 8 hours per day. What will be the average cost incurred per dye if 1 man hour costs Rs 20 and 1 machine hour costs Rs 15?a)Rs 140b)Rs 160c)Rs 147d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A factory manufactures dyes. It has 12 men and two machines which can be operated by all of its men. It takes 4 hours to manufacture one dye on the machine with the operator. The machines can work continuously without a break. Without the machine each of the men can manufacture a dye in 8 hours. The policy is such that the production is maximized and the men are ready to work in three shifts of 8 hours per day. What will be the average cost incurred per dye if 1 man hour costs Rs 20 and 1 machine hour costs Rs 15?a)Rs 140b)Rs 160c)Rs 147d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A factory manufactures dyes. It has 12 men and two machines which can be operated by all of its men. It takes 4 hours to manufacture one dye on the machine with the operator. The machines can work continuously without a break. Without the machine each of the men can manufacture a dye in 8 hours. The policy is such that the production is maximized and the men are ready to work in three shifts of 8 hours per day. What will be the average cost incurred per dye if 1 man hour costs Rs 20 and 1 machine hour costs Rs 15?a)Rs 140b)Rs 160c)Rs 147d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
A factory manufactures dyes. It has 12 men and two machines which can be operated by all of its men. It takes 4 hours to manufacture one dye on the machine with the operator. The machines can work continuously without a break. Without the machine each of the men can manufacture a dye in 8 hours. The policy is such that the production is maximized and the men are ready to work in three shifts of 8 hours per day. What will be the average cost incurred per dye if 1 man hour costs Rs 20 and 1 machine hour costs Rs 15?a)Rs 140b)Rs 160c)Rs 147d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? for Quant 2024 is part of Quant preparation. The Question and answers have been prepared according to the Quant exam syllabus. Information about A factory manufactures dyes. It has 12 men and two machines which can be operated by all of its men. It takes 4 hours to manufacture one dye on the machine with the operator. The machines can work continuously without a break. Without the machine each of the men can manufacture a dye in 8 hours. The policy is such that the production is maximized and the men are ready to work in three shifts of 8 hours per day. What will be the average cost incurred per dye if 1 man hour costs Rs 20 and 1 machine hour costs Rs 15?a)Rs 140b)Rs 160c)Rs 147d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Quant 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A factory manufactures dyes. It has 12 men and two machines which can be operated by all of its men. It takes 4 hours to manufacture one dye on the machine with the operator. The machines can work continuously without a break. Without the machine each of the men can manufacture a dye in 8 hours. The policy is such that the production is maximized and the men are ready to work in three shifts of 8 hours per day. What will be the average cost incurred per dye if 1 man hour costs Rs 20 and 1 machine hour costs Rs 15?a)Rs 140b)Rs 160c)Rs 147d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A factory manufactures dyes. It has 12 men and two machines which can be operated by all of its men. It takes 4 hours to manufacture one dye on the machine with the operator. The machines can work continuously without a break. Without the machine each of the men can manufacture a dye in 8 hours. The policy is such that the production is maximized and the men are ready to work in three shifts of 8 hours per day. What will be the average cost incurred per dye if 1 man hour costs Rs 20 and 1 machine hour costs Rs 15?a)Rs 140b)Rs 160c)Rs 147d)Cannot be determinedCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Quant.
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