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September 17th, 2019, 09:22 AM   #11
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If x men, each working x hours a day for x days produce x articles in total, where x is a positive constant, it seems reasonable that a*x men, each working b*x hours a day for c*x days, produce abc*x articles (for any non-negative a, b and c).

By letting a = b = c = y/x, y men, each working y hours a day for y days, produce (y/x)³x articles, i.e. y³/x² articles.
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October 3rd, 2019, 02:18 PM   #12
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I have an update for you guys.

I recently went through this with my tutor and here is what she came up with:

1. The total number of hours in the x regime is x^2 i.e. (hours per day)*(days)
2. Therefore, x(total number articles)/x(workers)*x^2 = x/x*x^2 = 1/x^2 (rate of item per worker per hour)
3. Now you simply use this rate for the y (1/x^2)*y^2*y = y^3/x^2
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