Maximize the objective function 4x+6y subject to the following constraints. x + 2y ≤ 24 3x + 2y = 36 x≤8 x20, y20 The maximum value of the function is (Simplify your answer.) The value of x is (Simplify your answer.) The value of y is (Simplify your answer.)
Maximize the objective function 4x+6y subject to the following constraints. x + 2y ≤ 24 3x + 2y = 36 x≤8 x20, y20 The maximum value of the function is (Simplify your answer.) The value of x is (Simplify your answer.) The value of y is (Simplify your answer.)
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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![**Objective:**
Maximize the objective function \(4x + 6y\) subject to the following constraints:
1. \(x + 2y \leq 24\)
2. \(3x + 2y \geq 36\)
3. \(x \leq 8\)
4. \(x \geq 0, \, y \geq 0\)
---
**Questions:**
1. The maximum value of the function is \[\_\_\_ \]
(Simplify your answer.)
2. The value of \(x\) is \[\_\_\_ \]
(Simplify your answer.)
3. The value of \(y\) is \[\_\_\_ \]
(Simplify your answer.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4726056b-a0d8-4167-a534-8f03670a441a%2F52535184-0987-4f81-b2a4-45ceaafc9486%2F80vwqvk_processed.png&w=3840&q=75)
Transcribed Image Text:**Objective:**
Maximize the objective function \(4x + 6y\) subject to the following constraints:
1. \(x + 2y \leq 24\)
2. \(3x + 2y \geq 36\)
3. \(x \leq 8\)
4. \(x \geq 0, \, y \geq 0\)
---
**Questions:**
1. The maximum value of the function is \[\_\_\_ \]
(Simplify your answer.)
2. The value of \(x\) is \[\_\_\_ \]
(Simplify your answer.)
3. The value of \(y\) is \[\_\_\_ \]
(Simplify your answer.)
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