6 Variable Cells 7 8 9 10 11 12 Constraints 13 14 15 16 17 Cell $C$8 A $D$8 B Name Cell Name $B$15 demand for A LHS $B$16 total demand LHS $B$17 procssing time LHS Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 250 1E+30 1 100 0 0 250 350 600 Final Shadow Constraint Allowable Allowable Value Price R.H. Side Increase Decrease 1E+30 50 125 0 4 -1 2 1 3 1E+30 Q1 what is the range for objective coefficient of A and B? 125 350 600 125 125 100 Q2 assume that the final value of B is 0 and the reduced cost of B is 1; explain the situation? Q3 if the objective coefficient of A goes down to 1 dollar and objective coefficient of B goes up to 4 dollars what will happen?

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter9: Decision Making Under Uncertainty
Section9.5: Multistage Decision Problems
Problem 17P
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Related questions
Question
123456789unn3u5167
10
5
6 Variable Cells
18
19
20
21
22
23
24
25
26
27
28
29
30
31
7
32
33
34
35
36
37
38
39
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43
44
45
46
8
9
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2
11 13
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12 Constraints
Name
Cell
$B$15 demand for A LHS
$B$16 total demand LHS
16 17 $B$17 procssing time LHS
Cell
$C$8 A
$D$8 B
15
16
Name
Final Reduced Objective Allowable Allowable
Value
Cost Coefficient Increase
Decrease
1E+30
250
100
Final
Value Price
250
350
600
0
0
Shadow Constraint
R.H. Side
0
4
-1
2
3
Q1 what is the range for objective coefficient of A and B?
125
350
600
1
1E+30
Allowable Allowable
Increase Decrease
Q4) if the objective coefficient of A goes up to 5 dollars what will happen?
Q2 assume that the final value of B is 0 and the reduced cost of B is 1; explain the situation ?
Q5 If the objective coefficient of B goes up to 8 dollars what will happen?
Q6) if the obj coeff of A goes down to -5 dollars what does that mean?
125
125
100
1
Q3 if the objective coefficient of A goes down to 1 dollar and objective coefficient of B goes up to 4 dollars what will happen?
1E+30
50
125
Transcribed Image Text:123456789unn3u5167 10 5 6 Variable Cells 18 19 20 21 22 23 24 25 26 27 28 29 30 31 7 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 8 9 10 11 2 11 13 12 14 12 Constraints Name Cell $B$15 demand for A LHS $B$16 total demand LHS 16 17 $B$17 procssing time LHS Cell $C$8 A $D$8 B 15 16 Name Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 1E+30 250 100 Final Value Price 250 350 600 0 0 Shadow Constraint R.H. Side 0 4 -1 2 3 Q1 what is the range for objective coefficient of A and B? 125 350 600 1 1E+30 Allowable Allowable Increase Decrease Q4) if the objective coefficient of A goes up to 5 dollars what will happen? Q2 assume that the final value of B is 0 and the reduced cost of B is 1; explain the situation ? Q5 If the objective coefficient of B goes up to 8 dollars what will happen? Q6) if the obj coeff of A goes down to -5 dollars what does that mean? 125 125 100 1 Q3 if the objective coefficient of A goes down to 1 dollar and objective coefficient of B goes up to 4 dollars what will happen? 1E+30 50 125
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ISBN:
9781337406659
Author:
WINSTON, Wayne L.
Publisher:
Cengage,