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10 July, 00:01

A company's revenue from selling x units of an item is given as R = 1000 x - 3 x 2. If sales are increasing at the rate of 25 units per day, how rapidly is revenue increasing (in dollars per day) when 120 units have been sold?

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  1. 10 July, 00:09
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    Revenue is increasing at a rate of $280 per day.

    Step-by-step explanation:

    Revenue function is given as R = 1000x - 3x^2

    The rate at which revenue is increasing is obtained by differentiating R with respect to x

    R = 1000x - 3x^2

    dR/dx = 1000 - 6x

    when x = 120 units

    dR/dx = 1000 - 6 (120) = 1000 - 720 = 280 dollars per day
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