Question

A company's revenue for selling x (thousand) items is given by R(x) = 3x - x^2 / (x^2 + 3). Find the value of x that maximizes the revenue and find the maximum revenue.

Name: a companys revenue for selling x thousand items is given by rx 3x x2 x2 3 find the value of x that maximizes the revenue and find the maximum revenue 06766
Uploaded: 2023-09-04T00:19:32-08:00
Duration: 3 min 10 s
Channel: Vincenzo Zaccaro
Description: a companys revenue for selling x thousand items is given by rx 3x x2 x2 3 find the value of x that maximizes the revenue and find the maximum revenue 06766

          A company's revenue for selling x (thousand) items is given by R(x) = 3x - x^2 / (x^2 + 3). Find the value of x that maximizes the revenue and find the maximum revenue.

Added by Cristian H.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Vincenzo Zaccaro

09/04/2023

Step 1

R'(x) = \frac{d}{dx}(3x - x^2 \frac{x^2 + 3}{x^2 + 3}) = \frac{d}{dx}(3x - x^2) = 3 - 2x Show more…

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A company's revenue for selling x (thousand) items is given by R(x) = 3x - x^2 / (x^2 + 3). Find the value of x that maximizes the revenue and find the maximum revenue.