In Problems 19-26, use the simplex method to maxi- mize the given functions. Assume that all variables are nonnegative. 19. Maximizef= 3x + 10y subject to Anolm al (s) hsq nol aot 14x + 7y < 35 5x + 5y < 50 bai (d) tolgmoo
In Problems 19-26, use the simplex method to maxi- mize the given functions. Assume that all variables are nonnegative. 19. Maximizef= 3x + 10y subject to Anolm al (s) hsq nol aot 14x + 7y < 35 5x + 5y < 50 bai (d) tolgmoo
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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#19 please explain thoroughly and for someone who knows nothing at all
![**Chapter 4: Inequalities and Linear Programming**
In Problems 19-26, use the simplex method to maximize the given functions. Assume that all variables are nonnegative.
19. Maximize \( f = 3x + 10y \) subject to:
\[
\begin{align*}
14x + 7y & \leq 35 \\
5x + 5y & \leq 50 \\
\end{align*}
\]
20. Maximize \( f = 7x + 10y \) subject to:
\[
\begin{align*}
14x + 14y & \leq 98 \\
8x + 10y & \leq 100 \\
\end{align*}
\]
21. Maximize \( f = 2x + 3y \) subject to:
\[
\begin{align*}
x + 2y & \leq 10 \\
x + y & \leq 7 \\
\end{align*}
\]
22. Maximize \( f = 5x + 30y \) subject to:
\[
\begin{align*}
2x + 10y & \leq 96 \\
x + 10y & \leq 90 \\
\end{align*}
\]
23. Maximize \( f = 2x + y \) subject to:
\[
\begin{align*}
-x + y & \leq 2 \\
x + 2y & \leq 10 \\
3x + 0y & \leq 15 \\
\end{align*}
\]
24. Maximize \( f = 2x + 6y \) subject to:
\[
\begin{align*}
2x + 5y & \leq 30 \\
x + 5y & \leq 25 \\
x + y & \leq 11 \\
\end{align*}
\]
25. Maximize \( f = 7x + 10y + 4z \) subject to:
\[](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faeb06b0e-8341-4861-846e-a0416daf2b6f%2F1a51df59-c3f1-44a4-9301-f185abf887a7%2Fx9vd0v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Chapter 4: Inequalities and Linear Programming**
In Problems 19-26, use the simplex method to maximize the given functions. Assume that all variables are nonnegative.
19. Maximize \( f = 3x + 10y \) subject to:
\[
\begin{align*}
14x + 7y & \leq 35 \\
5x + 5y & \leq 50 \\
\end{align*}
\]
20. Maximize \( f = 7x + 10y \) subject to:
\[
\begin{align*}
14x + 14y & \leq 98 \\
8x + 10y & \leq 100 \\
\end{align*}
\]
21. Maximize \( f = 2x + 3y \) subject to:
\[
\begin{align*}
x + 2y & \leq 10 \\
x + y & \leq 7 \\
\end{align*}
\]
22. Maximize \( f = 5x + 30y \) subject to:
\[
\begin{align*}
2x + 10y & \leq 96 \\
x + 10y & \leq 90 \\
\end{align*}
\]
23. Maximize \( f = 2x + y \) subject to:
\[
\begin{align*}
-x + y & \leq 2 \\
x + 2y & \leq 10 \\
3x + 0y & \leq 15 \\
\end{align*}
\]
24. Maximize \( f = 2x + 6y \) subject to:
\[
\begin{align*}
2x + 5y & \leq 30 \\
x + 5y & \leq 25 \\
x + y & \leq 11 \\
\end{align*}
\]
25. Maximize \( f = 7x + 10y + 4z \) subject to:
\[
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