The following problem represents a dual maximization problem: Max Z = 6x₁ + 8x₂ + 4x3 subject to V₁-V3 $2 Y₁+ y2 + 2y ≤ 10 Y₁+ 2y2 + 2y3 ≤ 8 Answer the following questions: 1) Write down the original minimization problem [Use zero for any missing values] MIN W = subject to Y1 x1 + x1 + Y1 x1 + Y2 In the initial simplex table, (2) The pivot row is row (3) The pivot column is column (4) The pivot variable is (5) Given the following simplex table 1 0.5 0.5 -2 x1 + x2 + Y2 x2 + x2 + Y3 0 0 1 0 -1 Y3 x3 2 1 1 4 x3 2 S1 x3 2 x3 $2 1 0 0 0 53 0 1 0 0 Determine the optimal simplex table: (use 1 decimal place where necessary) S1 RHS $2 0 -0.5 0.5 4 $3 2 6 4 32 RHS
The following problem represents a dual maximization problem: Max Z = 6x₁ + 8x₂ + 4x3 subject to V₁-V3 $2 Y₁+ y2 + 2y ≤ 10 Y₁+ 2y2 + 2y3 ≤ 8 Answer the following questions: 1) Write down the original minimization problem [Use zero for any missing values] MIN W = subject to Y1 x1 + x1 + Y1 x1 + Y2 In the initial simplex table, (2) The pivot row is row (3) The pivot column is column (4) The pivot variable is (5) Given the following simplex table 1 0.5 0.5 -2 x1 + x2 + Y2 x2 + x2 + Y3 0 0 1 0 -1 Y3 x3 2 1 1 4 x3 2 S1 x3 2 x3 $2 1 0 0 0 53 0 1 0 0 Determine the optimal simplex table: (use 1 decimal place where necessary) S1 RHS $2 0 -0.5 0.5 4 $3 2 6 4 32 RHS
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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Question
![The following problem represents a dual maximization problem:
Max Z = 6x₁ + 8x₂ + 4x3
subject to
V₁-V3 $2
Y₁+ y2 + 2y ≤ 10
Y₁+ 2y2 + 2y3 ≤ 8
Answer the following questions:
1) Write down the original minimization problem
[Use
zero for any missing values]
MIN W =
subject to
Y1
x1 +
x1 +
Y1
x1 +
Y2
In the initial simplex table,
(2) The pivot row is row
(3) The pivot column is column
(4) The pivot variable is
(5) Given the following simplex table
1
0.5
0.5
-2
x1 +
x2 +
Y2
x2 +
x2 +
Y3
0
0
1
0
-1
Y3
x3 2
1
1
4
x3 2
S1
x3 2
x3
$2
1
0
0
0
53
0
1
0
0
Determine the optimal simplex table: (use 1 decimal place where necessary)
S1
RHS
$2
0
-0.5
0.5
4
$3
2
6
4
32
RHS](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffbdd5574-9d6a-4d02-9746-931ab8649747%2F3c211b3d-8c12-4df4-bebc-5d3cdf9a582d%2Fh93a0cr_processed.png&w=3840&q=75)
Transcribed Image Text:The following problem represents a dual maximization problem:
Max Z = 6x₁ + 8x₂ + 4x3
subject to
V₁-V3 $2
Y₁+ y2 + 2y ≤ 10
Y₁+ 2y2 + 2y3 ≤ 8
Answer the following questions:
1) Write down the original minimization problem
[Use
zero for any missing values]
MIN W =
subject to
Y1
x1 +
x1 +
Y1
x1 +
Y2
In the initial simplex table,
(2) The pivot row is row
(3) The pivot column is column
(4) The pivot variable is
(5) Given the following simplex table
1
0.5
0.5
-2
x1 +
x2 +
Y2
x2 +
x2 +
Y3
0
0
1
0
-1
Y3
x3 2
1
1
4
x3 2
S1
x3 2
x3
$2
1
0
0
0
53
0
1
0
0
Determine the optimal simplex table: (use 1 decimal place where necessary)
S1
RHS
$2
0
-0.5
0.5
4
$3
2
6
4
32
RHS
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