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For the given maximization problem, (a) determine the number of slack variables needed, (b) name them, and (c) use slack variables to convert each constraint into a linear equation. a. How many slack variables are needed? b. Which slack variables should be used? О А. х1, х2 OB. S₁, S2, S3 OC. S1, S2 OD. X₁, X2, X3 (...) c. What is the equation using a slack variable that corresponds to the first constraint, 8x₁ + 3x2 + 10x3 ≤ 127? OA. 8x₁ +3x₂+ 10x3 + S₁ = 127 OB. 8x₁ + 3x₂ + 10x3 + S₁ ≤ 127 OC. 8x₁ + 3x2 + 10x3 ≤ 127 O D. 8x₁ +3x₂+ 10x3 + x₁ = 127 What is the equation using a slack variable that corresponds to the second constraint, 2x₁ + 4x2 + 18x3 207? Maximize z=7x₁, +3x2 + x3 subject to: 8x₁ + 3x2 + 10x3 ≤ 127 2x₁ +4x2+ 18x3 ≤ 207 X₁20, X₂20, X3 20 with

For the given maximization problem, (a) determine the number of slack variables needed, (b) name them, and (c) use slack variables to convert each constraint into a linear equation. a. How many slack variables are needed? b. Which slack variables should be used? О А. х1, х2 OB. S₁, S2, S3 OC. S1, S2 OD. X₁, X2, X3 (...) c. What is the equation using a slack variable that corresponds to the first constraint, 8x₁ + 3x2 + 10x3 ≤ 127? OA. 8x₁ +3x₂+ 10x3 + S₁ = 127 OB. 8x₁ + 3x₂ + 10x3 + S₁ ≤ 127 OC. 8x₁ + 3x2 + 10x3 ≤ 127 O D. 8x₁ +3x₂+ 10x3 + x₁ = 127 What is the equation using a slack variable that corresponds to the second constraint, 2x₁ + 4x2 + 18x3 207? Maximize z=7x₁, +3x2 + x3 subject to: 8x₁ + 3x2 + 10x3 ≤ 127 2x₁ +4x2+ 18x3 ≤ 207 X₁20, X₂20, X3 20 with

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter6: Linear Systems
Section6.8: Linear Programming
Problem 33E
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For the given maximization problem, (a) determine the number of slack variables needed, (b) name them, and (c) use slack variables to convert each constraint into a linear equation. a. How many slack variables are needed? b. Which slack variables should be used? OA. X1, X2 OB. 5₁, 52, 53 OC. S1, S2 OD. X₁, X2, X3 c. What is the equation using a slack variable that corresponds to the first constraint, 8x1 + 3x2 + 10x3 ≤ 127? OA. 8x₁ + 3x₂ + 10x3 + ₁ = 127 OB. 8x₁ + 3x₂ + 10x3 + S₁ ≤ 127 O C. 8x₁ + 3x₂ + 10x3 ≤ 127 O D. 8x₁ + 3x₂ + 10x3 + x₁ = 127 What is the equation using a slack variable that corresponds to the second constraint, 2x₁ + 4x2 + 18x3 ≤ 207? Maximize subject to: with z = 7x₁ + 3x₂ + x3 8x1 + 3x₂ +10x3 ≤ 127 2x₁ +4x2+ 18x3 ≤ 207 X3 20 X₁20, X₂20,
Transcribed Image Text:For the given maximization problem, (a) determine the number of slack variables needed, (b) name them, and (c) use slack variables to convert each constraint into a linear equation. a. How many slack variables are needed? b. Which slack variables should be used? OA. X1, X2 OB. 5₁, 52, 53 OC. S1, S2 OD. X₁, X2, X3 c. What is the equation using a slack variable that corresponds to the first constraint, 8x1 + 3x2 + 10x3 ≤ 127? OA. 8x₁ + 3x₂ + 10x3 + ₁ = 127 OB. 8x₁ + 3x₂ + 10x3 + S₁ ≤ 127 O C. 8x₁ + 3x₂ + 10x3 ≤ 127 O D. 8x₁ + 3x₂ + 10x3 + x₁ = 127 What is the equation using a slack variable that corresponds to the second constraint, 2x₁ + 4x2 + 18x3 ≤ 207? Maximize subject to: with z = 7x₁ + 3x₂ + x3 8x1 + 3x₂ +10x3 ≤ 127 2x₁ +4x2+ 18x3 ≤ 207 X3 20 X₁20, X₂20,
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