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Question
The total revenue R = 720 - 3x2 where x is number of items sold. Find x for which total revenue R is increasing.
Solution
R = 720x - 3x2
`(dR)/(dx)` = 720 - 6x
Total revenue R is increasing if `(dR)/(dx)` > 0.
i.e; if 720 - 6x > 0
if 720 > 6x
i.e; if 120 > x
∴ R is increasing for 120 > x.
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