You may round answers to 2 decimal places if desired. Maximize f = 3x + 6y + 10z subject to 2x + 5y + z ≤7 2x + y + 3z ≤ 24 2x + y + 5z ≤ 25 x ≥ 0, y ≥ 0, z ≥ 0 If no solutions exist enter DNE in all answerboxes. X = Y = z = f = = Next

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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**Linear Programming Problem**

You may round answers to 2 decimal places if desired.

**Objective:**
Maximize \( f = 3x + 6y + 10z \)

**Subject to Constraints:**

1. \( 2x + 5y + z \leq 7 \)
2. \( 2x + y + 3z \leq 24 \)
3. \( 2x + y + 5z \leq 25 \)
4. \( x \geq 0, y \geq 0, z \geq 0 \)

**Instructions:**
If no solutions exist, enter "DNE" (Does Not Exist) in all answer boxes.

**Solution Boxes:**

- \( x = \) [ ]
- \( y = \) [ ]
- \( z = \) [ ]
- \( f = \) [ ]

**Note:** Ensure to check all conditions for feasibility and enter appropriate values or "DNE" where applicable.
Transcribed Image Text:**Linear Programming Problem** You may round answers to 2 decimal places if desired. **Objective:** Maximize \( f = 3x + 6y + 10z \) **Subject to Constraints:** 1. \( 2x + 5y + z \leq 7 \) 2. \( 2x + y + 3z \leq 24 \) 3. \( 2x + y + 5z \leq 25 \) 4. \( x \geq 0, y \geq 0, z \geq 0 \) **Instructions:** If no solutions exist, enter "DNE" (Does Not Exist) in all answer boxes. **Solution Boxes:** - \( x = \) [ ] - \( y = \) [ ] - \( z = \) [ ] - \( f = \) [ ] **Note:** Ensure to check all conditions for feasibility and enter appropriate values or "DNE" where applicable.
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