Using a software the linear programming problem was solved and the following sensitivity report was obtained: Adjustable Cells Variable Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease VA1 1.50 VA2 0.00 0.00 0.00 0.00 0.75 VA3 VB1 VB2 VB3 Name C₁ C₂ C3 C4 C5 0 100 550 400 400 0 Final Value Shadow Price 650 6.50 800 7.25 400 -0.50 500 -0.25 550 0.00 $7.50 $6.25 $6.50 $6.75 $7.00 $8.00 Constraint RH Side 650 800 400 500 600 1E+30 0.25 0.75 0.50 0.75 1E+30 1.50 0.75 0.25 1E+30 0.50 0.75 Constraints Allowable Increase Allowable Decrease 50 50 400 550 1E+30 550 400 50 50 50 d) Based on the information given in the sensitivity reports, the number of constraints that are binding = e) For variable VA3, the range of optimality is from $6.25 to $ (round your response to two decimal places). f) If to customer A, 26 less tons are supplied, how much money might be saved? $ If to customer B, 26 less tons are supplied, how much money might be saved? $ (enter your response as an integer). (round your response to two decimal places). (round your response to two decimal places).
Using a software the linear programming problem was solved and the following sensitivity report was obtained: Adjustable Cells Variable Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease VA1 1.50 VA2 0.00 0.00 0.00 0.00 0.75 VA3 VB1 VB2 VB3 Name C₁ C₂ C3 C4 C5 0 100 550 400 400 0 Final Value Shadow Price 650 6.50 800 7.25 400 -0.50 500 -0.25 550 0.00 $7.50 $6.25 $6.50 $6.75 $7.00 $8.00 Constraint RH Side 650 800 400 500 600 1E+30 0.25 0.75 0.50 0.75 1E+30 1.50 0.75 0.25 1E+30 0.50 0.75 Constraints Allowable Increase Allowable Decrease 50 50 400 550 1E+30 550 400 50 50 50 d) Based on the information given in the sensitivity reports, the number of constraints that are binding = e) For variable VA3, the range of optimality is from $6.25 to $ (round your response to two decimal places). f) If to customer A, 26 less tons are supplied, how much money might be saved? $ If to customer B, 26 less tons are supplied, how much money might be saved? $ (enter your response as an integer). (round your response to two decimal places). (round your response to two decimal places).
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
Related questions
Question
d, e, & f
![Adjustable Cells
Using a software the linear programming problem was solved and the following sensitivity report was obtained:
Variable Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease
VA1
VA2
VA3
VB1
VB2
V B3
Name
C₁
C2
C3
C4
C5
0
100
550
400
400
0
1.50
0.00
0.00
0.00
0.00
0.75
e) For variable V
$7.50
$6.25
$6.50
$6.75
$7.00
$8.00
Final Value Shadow Price Constraint RH Side
650
6.50
650
800
7.25
800
400
- 0.50
400
500
-0.25
500
550
0.00
600
1E+30
0.25
0.75
0.50
0.75
1E+30
50
50
400
550
1E+30
Allowable Increase Allowable Decrease
A3¹ the range of optimality is from $6.25 to $
f) If to customer A, 26 less tons are supplied, how much money might be saved? $
If to customer B, 26 less tons are supplied, how much money might be saved? $
1.50
0.75
0.25
1E+30
0.50
0.75
Constraints
d) Based on the information given in the sensitivity reports, the number of constraints that are binding
(round your response to two decimal places).
=
550
400
50
50
50
(enter your response as an integer).
(round your response to two decimal places).
(round your response to two decimal places).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0a63f6a7-ec54-4c0e-abf5-810ded572838%2Fa66ae43d-a56c-4368-ae76-0b2a0b3aabdd%2F3p0vxlv_processed.png&w=3840&q=75)
Transcribed Image Text:Adjustable Cells
Using a software the linear programming problem was solved and the following sensitivity report was obtained:
Variable Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease
VA1
VA2
VA3
VB1
VB2
V B3
Name
C₁
C2
C3
C4
C5
0
100
550
400
400
0
1.50
0.00
0.00
0.00
0.00
0.75
e) For variable V
$7.50
$6.25
$6.50
$6.75
$7.00
$8.00
Final Value Shadow Price Constraint RH Side
650
6.50
650
800
7.25
800
400
- 0.50
400
500
-0.25
500
550
0.00
600
1E+30
0.25
0.75
0.50
0.75
1E+30
50
50
400
550
1E+30
Allowable Increase Allowable Decrease
A3¹ the range of optimality is from $6.25 to $
f) If to customer A, 26 less tons are supplied, how much money might be saved? $
If to customer B, 26 less tons are supplied, how much money might be saved? $
1.50
0.75
0.25
1E+30
0.50
0.75
Constraints
d) Based on the information given in the sensitivity reports, the number of constraints that are binding
(round your response to two decimal places).
=
550
400
50
50
50
(enter your response as an integer).
(round your response to two decimal places).
(round your response to two decimal places).
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