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
icon
Related questions
Topic Video
Question
100%
) 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:) 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.
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
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
Expert Solution
steps

Step by step

Solved in 3 steps

Blurred answer
Knowledge Booster
Optimization
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,