The following is a simplex table for a linear programming model. Based on this table, answer the questions below. 1 -1 0. Basic Variables Quantity X2 $2 $3 X2 10 1 1/4 1/4 0. 0. $2 20 0. 0. -3/4 3/4 -1/2 1 X1 10 1 0. 1 -1/2 0. 1/2 30 1 3/2 0. 1/2 0. -5/2 -1/2 0. a. Is this a maximization or a minimization problem? Why? 2.
The following is a simplex table for a linear programming model. Based on this table, answer the questions below. 1 -1 0. Basic Variables Quantity X2 $2 $3 X2 10 1 1/4 1/4 0. 0. $2 20 0. 0. -3/4 3/4 -1/2 1 X1 10 1 0. 1 -1/2 0. 1/2 30 1 3/2 0. 1/2 0. -5/2 -1/2 0. a. Is this a maximization or a minimization problem? Why? 2.
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:) The following is a simplex table for a linear programming model. Based on this table, answer the questions
below.
-1
Basic
Variables
Quantity
*2
X3
$1
$3
X2
10
1/4
1/4
0.
52
20
-3/4
3/4
-1/2
1
10
1
-1/2
1/2
30
1
3/2
1/2
-5/2
-1/2
a. Is this a maximization or a minimization problem? Why?
b. What is the solution given in this table?
c. How many constraints are in the linear programming model?
d. Were any of the constraints originally equations? Why?
e. What does sį equal in this tableau?
f. How much the objective function increases when the value of x3 increases by one unit?
g. How much the objective function decreases when the value of x3 increases by one unit?
h. What is the net change in the objective function when the value of x3 increases by one unit?
i. What happens to the objective function when the value of x3 increases by one unit?
j. How much the value of sı should increase to remove X2 from the solution?
k. What does the value "-1/2" in the "s3" column of the "c; - z¡" row mean?
2.

Transcribed Image Text:7) Given is the following simplex table for a linear programming problem. Complete the next iteration (table)
and indicate if it is optimal. Explicitly state any irregularities detected during the process.
60
50
45
50
0.
0.
0.
0.
Basic
Variables
Quantity
*1
X2
X3
$3
54
20
1
1
50
X4
15
0.
0.
60
12
1
1/2
1/10
0.
$4
45
-6
6.
-6
1
1,470
60
30
50
50
6.
45
0.
-50
-6
20
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