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9x1 + 8x2 + s2 = 25 9x1 + 8x2 + s1 = 25 Provide an appropriate response. 6) Solve the following linear programming problem using the simplex method: Maximize P=5x1 + 3x2 subject to 2x1 + 4x2 s 13 x1 + 2x2 s 6 x1, x2 20 A) Max P = 30 when x1 = 6, x2 = 0 B) Max P = 18 when x1 = 0, x2 = 6 C) Maxi P = 9 when x1 = 0, x2 = 3 D) Max P= 32.5 when x1 = 6.5, x2 = 0

9x1 + 8x2 + s2 = 25 9x1 + 8x2 + s1 = 25 Provide an appropriate response. 6) Solve the following linear programming problem using the simplex method: Maximize P=5x1 + 3x2 subject to 2x1 + 4x2 s 13 x1 + 2x2 s 6 x1, x2 20 A) Max P = 30 when x1 = 6, x2 = 0 B) Max P = 18 when x1 = 0, x2 = 6 C) Maxi P = 9 when x1 = 0, x2 = 3 D) Max P= 32.5 when x1 = 6.5, x2 = 0

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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**Educational Content on Linear Programming and Simplex Method** --- **5) Write the e-system obtained via slack variables for the linear programming problem.** Maximize \( P = 2x_1 + 8x_2 \) Subject to: - \( x_1 + 5x_2 \leq 15 \) - \( 9x_1 + 8x_2 \leq 25 \) - \( x_1 \geq 0, \, x_2 \geq 0 \) With: A) - \( x_1 + 5x_2 + s_1 = 15 \) - \( 9x_1 + 8x_2 + s_2 = 25 \) B) - \( x_1 + 5x_2 = 15 \) - \( 9x_1 + 8x_2 + s_2 = 25 \) C) - \( x_1 + 5x_2 + s_1 = 15 \) - \( 9x_1 + 8x_2 = 25 \) D) - \( x_1 + 5x_2 = 15 \) - \( 9x_1 + 8x_2 + s_1 = 25 \) **6) Solve the following linear programming problem using the simplex method:** Maximize \( P = 5x_1 + 3x_2 \) Subject to: - \( 2x_1 + 4x_2 \leq 13 \) - \( 1x_1 + 2x_2 \leq 6 \) - \( x_1, x_2 \geq 0 \) Options: A) Max \( P = 30 \) when \( x_1 = 6, x_2 = 0 \) B) Max \( P = 18 \) when \( x_1 = 0, x_2 = 6 \) C) Max \( P = 9 \) when \( x_1 = 0, x_2 = 3 \) D) Max \( P = 32.5 \) when \( x_1 = 6.5, x_2 = 0 \) **7) Write the basic solution for the following simplex tableau:** \
Transcribed Image Text:**Educational Content on Linear Programming and Simplex Method** --- **5) Write the e-system obtained via slack variables for the linear programming problem.** Maximize \( P = 2x_1 + 8x_2 \) Subject to: - \( x_1 + 5x_2 \leq 15 \) - \( 9x_1 + 8x_2 \leq 25 \) - \( x_1 \geq 0, \, x_2 \geq 0 \) With: A) - \( x_1 + 5x_2 + s_1 = 15 \) - \( 9x_1 + 8x_2 + s_2 = 25 \) B) - \( x_1 + 5x_2 = 15 \) - \( 9x_1 + 8x_2 + s_2 = 25 \) C) - \( x_1 + 5x_2 + s_1 = 15 \) - \( 9x_1 + 8x_2 = 25 \) D) - \( x_1 + 5x_2 = 15 \) - \( 9x_1 + 8x_2 + s_1 = 25 \) **6) Solve the following linear programming problem using the simplex method:** Maximize \( P = 5x_1 + 3x_2 \) Subject to: - \( 2x_1 + 4x_2 \leq 13 \) - \( 1x_1 + 2x_2 \leq 6 \) - \( x_1, x_2 \geq 0 \) Options: A) Max \( P = 30 \) when \( x_1 = 6, x_2 = 0 \) B) Max \( P = 18 \) when \( x_1 = 0, x_2 = 6 \) C) Max \( P = 9 \) when \( x_1 = 0, x_2 = 3 \) D) Max \( P = 32.5 \) when \( x_1 = 6.5, x_2 = 0 \) **7) Write the basic solution for the following simplex tableau:** \
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