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**Linear Programming Problem Using the Simplex Method** Maximize \( z = 9x_1 + 8x_2 \) **Subject to constraints:** - \( x_1 + 2x_2 \leq 2 \) - \( 3x_1 + 2x_2 \leq 8 \) - \( 2x_1 + 3x_2 \leq 10 \) - \( x_1 \geq 0 \) - \( x_2 \geq 0 \) **Options:** A. Maximum is 17 when \( x_1 = 1, x_2 = 1 \) B. Maximum is 45 when \( x_1 = 5, x_2 = 0 \) C. Maximum is 16 when \( x_1 = 0, x_2 = 2 \) D. Maximum is 18 when \( x_1 = 2, x_2 = 0 \)

**Linear Programming Problem Using the Simplex Method** Maximize \( z = 9x_1 + 8x_2 \) **Subject to constraints:** - \( x_1 + 2x_2 \leq 2 \) - \( 3x_1 + 2x_2 \leq 8 \) - \( 2x_1 + 3x_2 \leq 10 \) - \( x_1 \geq 0 \) - \( x_2 \geq 0 \) **Options:** A. Maximum is 17 when \( x_1 = 1, x_2 = 1 \) B. Maximum is 45 when \( x_1 = 5, x_2 = 0 \) C. Maximum is 16 when \( x_1 = 0, x_2 = 2 \) D. Maximum is 18 when \( x_1 = 2, x_2 = 0 \)

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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**Linear Programming Problem Using the Simplex Method** Maximize \( z = 9x_1 + 8x_2 \) **Subject to constraints:** - \( x_1 + 2x_2 \leq 2 \) - \( 3x_1 + 2x_2 \leq 8 \) - \( 2x_1 + 3x_2 \leq 10 \) - \( x_1 \geq 0 \) - \( x_2 \geq 0 \) **Options:** A. Maximum is 17 when \( x_1 = 1, x_2 = 1 \) B. Maximum is 45 when \( x_1 = 5, x_2 = 0 \) C. Maximum is 16 when \( x_1 = 0, x_2 = 2 \) D. Maximum is 18 when \( x_1 = 2, x_2 = 0 \)
Transcribed Image Text:**Linear Programming Problem Using the Simplex Method** Maximize \( z = 9x_1 + 8x_2 \) **Subject to constraints:** - \( x_1 + 2x_2 \leq 2 \) - \( 3x_1 + 2x_2 \leq 8 \) - \( 2x_1 + 3x_2 \leq 10 \) - \( x_1 \geq 0 \) - \( x_2 \geq 0 \) **Options:** A. Maximum is 17 when \( x_1 = 1, x_2 = 1 \) B. Maximum is 45 when \( x_1 = 5, x_2 = 0 \) C. Maximum is 16 when \( x_1 = 0, x_2 = 2 \) D. Maximum is 18 when \( x_1 = 2, x_2 = 0 \)
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