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
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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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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