Let z be the number of units (in thousands) that a company produces and let p(x) be the profit (in tens of thousands of The following table gives the profit for different levels of production. I 246 8 10 12 14| 16 18 20 p(x)0.6-2.8-6.7-12.2-16.6-23.7-27.9-37.7-45.2-58.4 quadratic regression program to find a mathematical model for p(x).
Let z be the number of units (in thousands) that a company produces and let p(x) be the profit (in tens of thousands of The following table gives the profit for different levels of production. I 246 8 10 12 14| 16 18 20 p(x)0.6-2.8-6.7-12.2-16.6-23.7-27.9-37.7-45.2-58.4 quadratic regression program to find a mathematical model for p(x).
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
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![Let \( x \) be the number of units (in thousands) that a company produces and let \( p(x) \) be the profit (in tens of thousands of dollars). The following table gives the profit for different levels of production.
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
x & 2 & 4 & 6 & 8 & 10 & 12 & 14 & 16 & 18 & 20 \\
\hline
p(x) & 0.6 & 2.8 & 6.7 & -12.2 & -16.6 & -23.7 & -27.9 & -37.7 & -45.2 & -58.4 \\
\hline
\end{array}
\]
Use the quadratic regression program to find a mathematical model for \( p(x) \).
\[ p(x) = -0.4x^2 + 5.3x - 24.5 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fda859fed-ae51-422c-9773-627805a70b82%2F1623c1e0-f9ef-4fde-b991-42c4864c5dc8%2F3nhdwt6_processed.png&w=3840&q=75)
Transcribed Image Text:Let \( x \) be the number of units (in thousands) that a company produces and let \( p(x) \) be the profit (in tens of thousands of dollars). The following table gives the profit for different levels of production.
\[
\begin{array}{|c|c|c|c|c|c|c|c|c|c|c|c|}
\hline
x & 2 & 4 & 6 & 8 & 10 & 12 & 14 & 16 & 18 & 20 \\
\hline
p(x) & 0.6 & 2.8 & 6.7 & -12.2 & -16.6 & -23.7 & -27.9 & -37.7 & -45.2 & -58.4 \\
\hline
\end{array}
\]
Use the quadratic regression program to find a mathematical model for \( p(x) \).
\[ p(x) = -0.4x^2 + 5.3x - 24.5 \]
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