Variable Cells Objective Allowable Coefficient Increase Reduced Allowable Decrease 12 0.628571429 6.444444444 8 8.546583851 0.75862069 Final Cell Name Value Cost SCS11 x1 SCS12 x2 SCS13 x3 SCS14 x4 2.560143627 3.364452424 0 -6.691561939 10 6.691561939 1E+30 15.43985637 6 6.444444444 0.628571429 Constraints Final Shadow Price 74 0.078994614 Constraint Allowable Allowable Cell Name SH$6 Used SH$7 Used 21.40125673 Value R.H. Side Increase 74 20.37142857 26.08108108 24 36 7.170278638 25.67164179 Decrease 1E+30 2.598743268 SH$8 Used SH$9 Used 36 480 0.208258528 480 79.31506849 79.22222222
Variable Cells Objective Allowable Coefficient Increase Reduced Allowable Decrease 12 0.628571429 6.444444444 8 8.546583851 0.75862069 Final Cell Name Value Cost SCS11 x1 SCS12 x2 SCS13 x3 SCS14 x4 2.560143627 3.364452424 0 -6.691561939 10 6.691561939 1E+30 15.43985637 6 6.444444444 0.628571429 Constraints Final Shadow Price 74 0.078994614 Constraint Allowable Allowable Cell Name SH$6 Used SH$7 Used 21.40125673 Value R.H. Side Increase 74 20.37142857 26.08108108 24 36 7.170278638 25.67164179 Decrease 1E+30 2.598743268 SH$8 Used SH$9 Used 36 480 0.208258528 480 79.31506849 79.22222222
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Topic Video
Question
Below tables show the Answer Report and the Sensitivity Report of the optimization Based on these two tables, answer the following questions.
- Write the constraint quantity
- Identify the sensitivity ranges for the constraint quantity
- What is the unknown shadow price? (Shown as yellow)
- Why are there 4 shadow prices?
![Variable Cells
Reduced
Objective Allowable
Coefficient Increase
Final
Allowable
Cell Name
Value
Cost
Decrease
$CS11 x1
SCS12 x2
$C$13 x3
SC$14 x4
12 0.628571429 6.444444444
8 8.546583851 0.75862069
10 6.691561939
6 6.444444444 0.628571429
2.560143627
3.364452424
0 -6.691561939
1E+30
15.43985637
Constraints
Final
Shadow
Constraint Allowable Allowable
Cell Name
Value
Price
R.H. Side
Increase
Decrease
SH$6 Used
SH$7 Used 21.40125673
SH$8 Used
74 0.078994614
74 20.37142857 26.08108108
1E+30 2.598743268
24
36
36 7.170278638 25.67164179
$H$9 Used
480 0.208258528
480 79.31506849 79.22222222](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6dddb5a-0a07-46e7-98fb-0834db8324b5%2F4b2c6e3b-d159-4af3-8058-a11a005f9373%2Fozl6k0d_processed.png&w=3840&q=75)
Transcribed Image Text:Variable Cells
Reduced
Objective Allowable
Coefficient Increase
Final
Allowable
Cell Name
Value
Cost
Decrease
$CS11 x1
SCS12 x2
$C$13 x3
SC$14 x4
12 0.628571429 6.444444444
8 8.546583851 0.75862069
10 6.691561939
6 6.444444444 0.628571429
2.560143627
3.364452424
0 -6.691561939
1E+30
15.43985637
Constraints
Final
Shadow
Constraint Allowable Allowable
Cell Name
Value
Price
R.H. Side
Increase
Decrease
SH$6 Used
SH$7 Used 21.40125673
SH$8 Used
74 0.078994614
74 20.37142857 26.08108108
1E+30 2.598743268
24
36
36 7.170278638 25.67164179
$H$9 Used
480 0.208258528
480 79.31506849 79.22222222
![Objective Cell (Max)
Cell Name Original Value Final Value
SCS15 Profit
150.3
150.3
Variable Cells
Cell Name Original Value Final Value
SCS11 x1
SCS12 x2
SCS13 x3
SCS14 x4
Integer
2.6 Contin
2.6
3.4
3.4 Contin
0.0 Contin
15.4 Contin
0.0
15.4
Constraints
Cell Name
Cell Value
Formula
Status
Slack
SH$6 Used
SH$7 Used
SH$8 Used
SH$9 Used
74 SHS6<=SG$6 Binding
21.4 SHS7<=SGS7 Not Binding 2.598743268
36 SH$8<=$G$8 Binding
480 SH$9<=$G$9 Binding](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6dddb5a-0a07-46e7-98fb-0834db8324b5%2F4b2c6e3b-d159-4af3-8058-a11a005f9373%2Fzoi6etg_processed.png&w=3840&q=75)
Transcribed Image Text:Objective Cell (Max)
Cell Name Original Value Final Value
SCS15 Profit
150.3
150.3
Variable Cells
Cell Name Original Value Final Value
SCS11 x1
SCS12 x2
SCS13 x3
SCS14 x4
Integer
2.6 Contin
2.6
3.4
3.4 Contin
0.0 Contin
15.4 Contin
0.0
15.4
Constraints
Cell Name
Cell Value
Formula
Status
Slack
SH$6 Used
SH$7 Used
SH$8 Used
SH$9 Used
74 SHS6<=SG$6 Binding
21.4 SHS7<=SGS7 Not Binding 2.598743268
36 SH$8<=$G$8 Binding
480 SH$9<=$G$9 Binding
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