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The production of DELL company has ups and downs every year. The production increases for two consecutive years consistently by 18% and in the third year it decreases by 25%. Again in the next two years it increases by 28% each year and decreases by 15% in the third year. If we start counting from the year 2012 approximately what will be the effect on the production of DELL Company in 2016?
  • a)
    21%
  • b)
    33%
  • c)
    19%
  • d)
    25%
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The production of DELL company has ups and downs every year. The prod...
Suppose the production of the company in the year 2012 be x.
Then production of the company in year 2016,
= x × 118/100 × 118/100 × 75/100 × 128/100 = 1.33x
∴ Increase % in the production in year 2016,
= [(1.33x – x)/x] × 100 = 33%
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Community Answer
The production of DELL company has ups and downs every year. The prod...
Understanding DELL's Production Trends
To analyze the production changes of DELL from 2012 to 2016, we need to follow the percentage changes year by year.
Yearly Changes Overview
- Start Year: 2012
- Let initial production in 2012 be represented as P.
Year-by-Year Breakdown
1. 2013:
- Increase by 18%
- New Production = P × (1 + 0.18) = P × 1.18
2. 2014:
- Increase by 18%
- New Production = P × 1.18 × (1 + 0.18) = P × 1.18 × 1.18 = P × 1.18^2
3. 2015:
- Decrease by 25%
- New Production = P × 1.18^2 × (1 - 0.25) = P × 1.18^2 × 0.75
4. 2016:
- Increase by 28%
- New Production = P × 1.18^2 × 0.75 × (1 + 0.28) = P × 1.18^2 × 0.75 × 1.28
5. 2017:
- Increase by 28%
- New Production = P × 1.18^2 × 0.75 × 1.28 × (1 + 0.28) = P × 1.18^2 × 0.75 × 1.28^2
6. 2018:
- Decrease by 15%
- New Production = P × 1.18^2 × 0.75 × 1.28^2 × (1 - 0.15) = P × 1.18^2 × 0.75 × 1.28^2 × 0.85
Final Calculation
To find the net effect from 2012 to 2016, we compute the total percentage change from P:
- The production in 2016 compared to 2012 is given by multiplying all the factors:
- Total effect = 1.18^2 × 0.75 × 1.28
Calculating this gives approximately a 33% increase.
Conclusion
Thus, the effect on the production of DELL Company in 2016 compared to 2012 is approximately 33%, making option 'B' the correct answer.
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The production of DELL company has ups and downs every year. The production increases for two consecutive years consistently by 18% and in the third year it decreases by 25%. Again in the next two years it increases by 28% each year and decreases by 15% in the third year. If we start counting from the year 2012 approximately what will be the effect on the production of DELL Company in 2016?a)21%b)33%c)19%d)25%e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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