Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. HINT [See Example 1.] (Enter EMPTY if the region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize p = x - 2y subject to X + 2y s 6 x - 4y s 0 5x - 2y 2 0 x 2 0, y 2 0. p = (x, y) =

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:**

**Objective:**
Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. 

**Instructions:**
- Enter "EMPTY" if the region is empty.
- Enter "UNBOUNDED" if the function is unbounded.

**Task:**

Maximize \( p = x - 2y \) subject to:
- \( x + 2y \leq 6 \)
- \( x - 4y \leq 0 \)
- \( 5x - 2y \geq 0 \)
- \( x \geq 0, y \geq 0 \)

**Solution Boxes:**
- \( p = \) [Text Box for entry]
- \( (x, y) = \) [Text Box for entry]
Transcribed Image Text:**Linear Programming Problem:** **Objective:** Solve the LP problem. If no optimal solution exists, indicate whether the feasible region is empty or the objective function is unbounded. **Instructions:** - Enter "EMPTY" if the region is empty. - Enter "UNBOUNDED" if the function is unbounded. **Task:** Maximize \( p = x - 2y \) subject to: - \( x + 2y \leq 6 \) - \( x - 4y \leq 0 \) - \( 5x - 2y \geq 0 \) - \( x \geq 0, y \geq 0 \) **Solution Boxes:** - \( p = \) [Text Box for entry] - \( (x, y) = \) [Text Box for entry]
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We will solve the LP by graphical method.

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