Variable Cells Cell Type A Type B Type C Constraints Cell Wood Steel hours Name x y 2 Name 1 2 3 Final Value 5 6 0 Final Value 32 40 15 Reduced Cost 0 0 -3.0 Shadow Price 1.5 2.5 0 Objective Coefficient 8 4 8 Constraint RH. Side 32 30 38 f the coefficient of changes to 5? Allowable Increase 3 5 1E+30 Allowable Increase 20 45 1E+30 Allowable Decrease 2 3 3 Allowable Decrease 10 30 25

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Variable Cells
Cell
Type A
Type B
Type C
Constraints
Cell
Wood
Steel
hours
Name
x
y
2
Name
1
2
3
Final
Value
5
6
0
Final
Value
32
40
15
Reduced
Cost
0
0
-3.0
Shadow
Price
1.5
2.5
0
Objective
Coefficient
8
4
8
Constraint
RH. Side
32
30
38
Allowable
Increase
3
5
1E+30
Allowable
Increase
20
45
1E+30
Allowable
Decrease
2
3
3
Allowable
Decrease
10
30
25
a) What is the expected profit if the coefficient of "x" changes to 5?
b) If the coefficient of x changes to 7 and the coefficient of y changes to 6 simultaneously, will the optimal solution remain unchanged? Explain
Transcribed Image Text:Variable Cells Cell Type A Type B Type C Constraints Cell Wood Steel hours Name x y 2 Name 1 2 3 Final Value 5 6 0 Final Value 32 40 15 Reduced Cost 0 0 -3.0 Shadow Price 1.5 2.5 0 Objective Coefficient 8 4 8 Constraint RH. Side 32 30 38 Allowable Increase 3 5 1E+30 Allowable Increase 20 45 1E+30 Allowable Decrease 2 3 3 Allowable Decrease 10 30 25 a) What is the expected profit if the coefficient of "x" changes to 5? b) If the coefficient of x changes to 7 and the coefficient of y changes to 6 simultaneously, will the optimal solution remain unchanged? Explain
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