Minimize the objective function 4x + 4y subject to the constraints. 2x+y ≥ 13 x + 2y 2 20 x20, y 20 The vertices of the feasible set are (Type ordered pairs. Use a comma to separate answers as needed.)

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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### Linear Programming Problem

#### Objective:
Minimize the objective function \( 4x + 4y \) subject to the constraints.

#### Constraints:
\[ 
\begin{cases} 
2x + y \geq 13 \\
x + 2y \geq 20 \\
x \geq 0, \, y \geq 0 
\end{cases} 
\]

#### Task:
Find the vertices of the feasible set.

#### Instructions:
Type ordered pairs. Use a comma to separate answers as needed.

---

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Transcribed Image Text:### Linear Programming Problem #### Objective: Minimize the objective function \( 4x + 4y \) subject to the constraints. #### Constraints: \[ \begin{cases} 2x + y \geq 13 \\ x + 2y \geq 20 \\ x \geq 0, \, y \geq 0 \end{cases} \] #### Task: Find the vertices of the feasible set. #### Instructions: Type ordered pairs. Use a comma to separate answers as needed. --- For further questions or assistance, feel free to reach out to our math tutoring team!
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