Identify the point of diminishing returns for the input-output function. R is the revenue and x is the amount spent on advertising. Use a graphing utility to verify your results. R = - - 4x - 7), 0
Identify the point of diminishing returns for the input-output function. R is the revenue and x is the amount spent on advertising. Use a graphing utility to verify your results. R = - - 4x - 7), 0
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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I am making a mistake somewhere in working this problem out... Please help So I can update my notes.
![**Identify the point of diminishing returns for the input-output function.**
R is the revenue and x is the amount spent on advertising. Use a graphing utility to verify your results.
\[ R = -\frac{1}{2}(x^3 - 4x - 7), \quad 0 \leq x \leq 2 \]
\[ (x, y) = \left( \text{[Blank Box]} \right) \]
**Explanation:**
- The function \( R = -\frac{1}{2}(x^3 - 4x - 7) \) is used to model revenue \( R \) based on the input \( x \), which represents the amount spent on advertising.
- The task is to find the point of diminishing returns within the interval \( 0 \leq x \leq 2 \).
Use the empty box to fill in the specific point \((x, y)\) once identified, possibly using calculus to find the point where the rate of change in revenue with respect to advertising spend decreases.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0db3bfd5-600e-458c-81d9-6f7644d7f89b%2Fdc2d67ab-3bfa-4a1a-b928-8e704e3a610b%2Flxldcdg_processed.png&w=3840&q=75)
Transcribed Image Text:**Identify the point of diminishing returns for the input-output function.**
R is the revenue and x is the amount spent on advertising. Use a graphing utility to verify your results.
\[ R = -\frac{1}{2}(x^3 - 4x - 7), \quad 0 \leq x \leq 2 \]
\[ (x, y) = \left( \text{[Blank Box]} \right) \]
**Explanation:**
- The function \( R = -\frac{1}{2}(x^3 - 4x - 7) \) is used to model revenue \( R \) based on the input \( x \), which represents the amount spent on advertising.
- The task is to find the point of diminishing returns within the interval \( 0 \leq x \leq 2 \).
Use the empty box to fill in the specific point \((x, y)\) once identified, possibly using calculus to find the point where the rate of change in revenue with respect to advertising spend decreases.
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