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?

Question

Mathematics

Tobias Nichols

29 March, 12:37

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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Answers (1)

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Deven Tyler · Answer 1

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