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 region is empty. Enter UNBOUNDED if the function is unbounded.) Maximize p = x + y subject to x + 3y s 8 3x + ys 8 x 2 0, y 2 0.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Linear Programming Problem Statement:**

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.)

**Objective:**
Maximize \( p = x + y \)

**Subject to Constraints:**

1. \( x + 3y \leq 8 \)
2. \( 3x + y \leq 8 \)
3. \( x \geq 0 \)
4. \( y \geq 0 \)

**Solutions:**

- \( p = \) [Input Box]
- \( (x, y) = \) [Input Box]
Transcribed Image Text:**Linear Programming Problem Statement:** 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.) **Objective:** Maximize \( p = x + y \) **Subject to Constraints:** 1. \( x + 3y \leq 8 \) 2. \( 3x + y \leq 8 \) 3. \( x \geq 0 \) 4. \( y \geq 0 \) **Solutions:** - \( p = \) [Input Box] - \( (x, y) = \) [Input Box]
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