Consider the LP problem in Figure QP2.3 and refer to the Solver sensitivity report in Figure QP2.4. Маx z = 2x1 + x2 + 5x3 s.t. x1 + 2x2 + x3 < 4.3 (С1) 3x1 + 2x3 < 4.6 (C2) x1 + 4x2 < 4.2 (С3) x1 >0 (C4) x2 >0 (C5) x3 >0 |(C6) FIGURE QP2.3 А В E F G 6 Variable Cells 7 Final Reduced Objective Allowable Allowable 8 Cell Name Value Cost Coefficient Increase Decrease $B$11 Solution x1 $C$11 Solution x2 $D$11 Solution x3 9 -5.25 5.25 1E+30 10 1 1 1 11 2.3 1E+30 3.5 12 13 Constraints 14 Final Shadow Constraint Allowable Allowable 15 Cell Name Value Price R.H. Side Increase Decrease 16 SE$5 C1 LHS 4.3 0.5 4,3 0,1
Consider the LP problem in Figure QP2.3 and refer to the Solver sensitivity report in Figure QP2.4. Маx z = 2x1 + x2 + 5x3 s.t. x1 + 2x2 + x3 < 4.3 (С1) 3x1 + 2x3 < 4.6 (C2) x1 + 4x2 < 4.2 (С3) x1 >0 (C4) x2 >0 (C5) x3 >0 |(C6) FIGURE QP2.3 А В E F G 6 Variable Cells 7 Final Reduced Objective Allowable Allowable 8 Cell Name Value Cost Coefficient Increase Decrease $B$11 Solution x1 $C$11 Solution x2 $D$11 Solution x3 9 -5.25 5.25 1E+30 10 1 1 1 11 2.3 1E+30 3.5 12 13 Constraints 14 Final Shadow Constraint Allowable Allowable 15 Cell Name Value Price R.H. Side Increase Decrease 16 SE$5 C1 LHS 4.3 0.5 4,3 0,1
Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.2: Elements Of Decision Analysis
Problem 2P
Related questions
Question
![Consider the LP problem in Figure QP2.3 and refer to the Solver sensitivity report in Figure QP2.4.
Маx
2x1 + x2 + 5x3
Z =
s.t.
xi + 2x2 + x3 < 4.3
|(C1)
3x1 + 2x3 < 4.6
|(C2)
x1 + 4x2 < 4.2
(C3)
x1 >0
|(C4)
x2 >0
|(C5)
x3 >0
|(C6)
FIGURE QP2.3
A
В
D
E
F
G
H
6 Variable Cells
7
Final Reduced Objective Allowable Allowable
8
Cell
Name
Value
Cost
Coefficient
Increase
Decrease
$B$11 Solution x1
$C$11 Solution x2
$D$11 Solution x3
9.
-5.25
2
5.25
1E+30
10
1
1
1
11
2.3
1E+30
3.5
12
13 Constraints
14
Final
Shadow
Constraint Allowable Allowable
15
Cell
Name
Value
Price
R.H. Side
Increase
Decrease
16
SE$5 C1 LHS
4.3
0.5
4.3
0.1
2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec55ab3f-9d6b-4200-9232-a0d1b86d7c25%2Fe80688e0-c863-4a17-8c7f-4fa1ac3d1eb8%2Feke213b_processed.png&w=3840&q=75)
Transcribed Image Text:Consider the LP problem in Figure QP2.3 and refer to the Solver sensitivity report in Figure QP2.4.
Маx
2x1 + x2 + 5x3
Z =
s.t.
xi + 2x2 + x3 < 4.3
|(C1)
3x1 + 2x3 < 4.6
|(C2)
x1 + 4x2 < 4.2
(C3)
x1 >0
|(C4)
x2 >0
|(C5)
x3 >0
|(C6)
FIGURE QP2.3
A
В
D
E
F
G
H
6 Variable Cells
7
Final Reduced Objective Allowable Allowable
8
Cell
Name
Value
Cost
Coefficient
Increase
Decrease
$B$11 Solution x1
$C$11 Solution x2
$D$11 Solution x3
9.
-5.25
2
5.25
1E+30
10
1
1
1
11
2.3
1E+30
3.5
12
13 Constraints
14
Final
Shadow
Constraint Allowable Allowable
15
Cell
Name
Value
Price
R.H. Side
Increase
Decrease
16
SE$5 C1 LHS
4.3
0.5
4.3
0.1
2
![FIGURE QP2.3
A
В
C
D
E
F
G
H
6 Variable Cells
7
Final Reduced
Objective
Allowable Allowable
8
Cell
Name
Value
Cost
Coefficient
Increase
Decrease
9
$B$11 Solution x1
-5.25
5.25
1E+30
$C$11 Solution x2
$D$11 Solution x3
10
1
1
9
1
11
2.3
1E+30
3.5
12
13 Constraints
14
Final
Shadow
Constraint Allowable Allowable
15
Cell
Name
Value
Price
R.H. Side
Increase
Decrease
16
$E$5 C1 LHS
4.3
0.5
4.3
0.1
$E$6
SE$7
17
C2 LHS
4.6
2.25
4.6
4
0.2
18
C3 LHS
4
4.2
1E+30
0.2
FIGURE QP2.4
Which constraints are binding (LHS=RHS) on the optimal solution?
C2, C3 and C4
C1, C2 and C3
C1, C2 and C4
O C2, C4 and C5](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fec55ab3f-9d6b-4200-9232-a0d1b86d7c25%2Fe80688e0-c863-4a17-8c7f-4fa1ac3d1eb8%2F02id8a_processed.png&w=3840&q=75)
Transcribed Image Text:FIGURE QP2.3
A
В
C
D
E
F
G
H
6 Variable Cells
7
Final Reduced
Objective
Allowable Allowable
8
Cell
Name
Value
Cost
Coefficient
Increase
Decrease
9
$B$11 Solution x1
-5.25
5.25
1E+30
$C$11 Solution x2
$D$11 Solution x3
10
1
1
9
1
11
2.3
1E+30
3.5
12
13 Constraints
14
Final
Shadow
Constraint Allowable Allowable
15
Cell
Name
Value
Price
R.H. Side
Increase
Decrease
16
$E$5 C1 LHS
4.3
0.5
4.3
0.1
$E$6
SE$7
17
C2 LHS
4.6
2.25
4.6
4
0.2
18
C3 LHS
4
4.2
1E+30
0.2
FIGURE QP2.4
Which constraints are binding (LHS=RHS) on the optimal solution?
C2, C3 and C4
C1, C2 and C3
C1, C2 and C4
O C2, C4 and C5
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