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s-east-1-prod-fleet02-xythos.content. blackboardedn.com/Sd44406cacotb/2697431217X-BI. b My Questions | bartleby با هلاگوی جديد هلاکوی ی خیانت هلاکوی ی ازدواج هلاكوبي اعتماد به نفس هلاکوی ی 2021 = D YouTube x1, x2 2 0 A) Max P= 32 at x1 = 3, x2 = 2 C) Max P = 32 at x] = 2, x2 = 3 B) Max P= 55 at x1 - 4, x2 = 4 D) Max P= 24 at x1 = 4, x2 = 0 Graph the system of inequalities. 4) x1 + x2 s 12 4) 2x1 + x2 s 20 X1, X2 × 0 A) B) Tx2 2"Fo, 20) 200, 20) 18 16+ 14+ 120, 12) 10 (8, 4) ,4) 2 4 6 8 10 12 14 16 18 20 22 xl 2 46 8 10 12 14 16 18 20 22 xl C) D) 22 200, 20) 20) (8, 4) (8, 4) 246 8 10 12 14 16 18 20 22 xl 246 8 10 12 14 16 18 20 22 xl

s-east-1-prod-fleet02-xythos.content. blackboardedn.com/Sd44406cacotb/2697431217X-BI. b My Questions | bartleby با هلاگوی جديد هلاکوی ی خیانت هلاکوی ی ازدواج هلاكوبي اعتماد به نفس هلاکوی ی 2021 = D YouTube x1, x2 2 0 A) Max P= 32 at x1 = 3, x2 = 2 C) Max P = 32 at x] = 2, x2 = 3 B) Max P= 55 at x1 - 4, x2 = 4 D) Max P= 24 at x1 = 4, x2 = 0 Graph the system of inequalities. 4) x1 + x2 s 12 4) 2x1 + x2 s 20 X1, X2 × 0 A) B) Tx2 2"Fo, 20) 200, 20) 18 16+ 14+ 120, 12) 10 (8, 4) ,4) 2 4 6 8 10 12 14 16 18 20 22 xl 2 46 8 10 12 14 16 18 20 22 xl C) D) 22 200, 20) 20) (8, 4) (8, 4) 246 8 10 12 14 16 18 20 22 xl 246 8 10 12 14 16 18 20 22 xl

Advanced Engineering Mathematics
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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Below is the transcription of the educational content along with a detailed explanation of the graphs: --- **Linear Programming Problem: Finding the Maximum Value** Maximize \( P = 5x_1 + 4x_2 \) Subject to: \( x_1 + x_2 \leq 12 \) \( 2x_1 + x_2 \leq 20 \) \( x_1, x_2 \geq 0 \) **Possible Maximum Values:** A) Max \( P = 32 \) at \( x_1 = 3, x_2 = 2 \) B) Max \( P = 55 \) at \( x_1 = 4, x_2 = 4 \) C) Max \( P = 32 \) at \( x_1 = 2, x_2 = 3 \) D) Max \( P = 24 \) at \( x_1 = 4, x_2 = 0 \) **Task:** Graph the system of inequalities. --- ### Graph Explanation There are four graphs (A, B, C, D) showing different feasible regions for the system of inequalities: 1. **Graph A:** - Displays the lines representing the inequalities \( x_1 + x_2 = 12 \) and \( 2x_1 + x_2 = 20 \). - The vertices of the feasible region are labeled: (0, 0), (0, 12), (8, 4), (10, 2). - The region of interest appears shaded. 2. **Graph B:** - Similar to Graph A, with a shaded region indicating the solution space. This shading appears more concentrated in the lower region bounded by the constraints. 3. **Graph C:** - The shaded region indicates another possible representation of the solution space. The shading extends up to the line \( x_1 = 12 \). 4. **Graph D:** - Features a shading pattern that narrows the feasible region further, focusing closely around the optimal vertices. Each graph displays potential solution areas based on the given constraints, highlighting different intersections that might yield the maximum value of \( P \).
Transcribed Image Text:Below is the transcription of the educational content along with a detailed explanation of the graphs: --- **Linear Programming Problem: Finding the Maximum Value** Maximize \( P = 5x_1 + 4x_2 \) Subject to: \( x_1 + x_2 \leq 12 \) \( 2x_1 + x_2 \leq 20 \) \( x_1, x_2 \geq 0 \) **Possible Maximum Values:** A) Max \( P = 32 \) at \( x_1 = 3, x_2 = 2 \) B) Max \( P = 55 \) at \( x_1 = 4, x_2 = 4 \) C) Max \( P = 32 \) at \( x_1 = 2, x_2 = 3 \) D) Max \( P = 24 \) at \( x_1 = 4, x_2 = 0 \) **Task:** Graph the system of inequalities. --- ### Graph Explanation There are four graphs (A, B, C, D) showing different feasible regions for the system of inequalities: 1. **Graph A:** - Displays the lines representing the inequalities \( x_1 + x_2 = 12 \) and \( 2x_1 + x_2 = 20 \). - The vertices of the feasible region are labeled: (0, 0), (0, 12), (8, 4), (10, 2). - The region of interest appears shaded. 2. **Graph B:** - Similar to Graph A, with a shaded region indicating the solution space. This shading appears more concentrated in the lower region bounded by the constraints. 3. **Graph C:** - The shaded region indicates another possible representation of the solution space. The shading extends up to the line \( x_1 = 12 \). 4. **Graph D:** - Features a shading pattern that narrows the feasible region further, focusing closely around the optimal vertices. Each graph displays potential solution areas based on the given constraints, highlighting different intersections that might yield the maximum value of \( P \).
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