For the next 6 numbers: Refer to the Management Scientist output of a maximization LP problem. The constraints are defined as follows: Constraint 1: advertising budget ( Constraint 2: sales force availability ( ) Constraint 3: production level (=) Constraint 4: retail stores requirement ( Optimal Solution Objective Function Value - Variable Constraint X1 X2 X3 X4 X1 X2 X3 1 Variable OBJECTIVE COEFFICIENT RANGES 1 2 3 4 Constraint Value RIGHT HAND SIDE RANGES Lover Linit Slack/Surplus 84.000 50.000 No Lover Linit No Lover Limit Lover Limit VI AI 25.000 425.000 150.000 0.000 48450.000 4950.000 1775.000 515.000 0.000 0.000 25.000 0.000 0.000 Reduced Costs Dual Prices Current Value 90.000 84.000 70.000 60.000 Current Value 0.000 0.000 0.000 45.000 5000.000 1800.000 600.000 150.000 3.000 0.000 60.000 -17.000 Upper Limit No Upper Limit 90.000 87.000 105.000 Upper Limit 5850.000 No Upper Linit 603.571 200.000

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
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For the next 6 numbers: Refer to the Management Scientist output of a
maximization LP problem. The constraints are defined as follows:
Constraint 1: advertising budget (
)
Constraint 2: sales force availability (
)
Constraint 3: production level (=)
Constraint 4: retail stores requirement (
)
Optimal Solution
Objective Function Value -
Variable.
Constraint
X1
X2
X1
X2
X3
X4
X3
X4
1
2
Variable
1
2
3
3
4
OBJECTIVE COEFFICIENT RANGES
4
Constraint
RIGHT HAND SIDE RANGES
Value
Slack/Surplus
Lover Limit
25.000
425.000
150.000
0.000
84.000
50.000
No Lover Linit
No Lover Linit
Lover Limit
48450.000
0.000
25.000
0.000
0.000
4950.000
1775.000
515.000
0.000
Reduced Costs
Dual Prices
Current Value
90.000
84.000
70.000
60.000
Current Value
0.000
0.000
0.000
45.000
5000.000
1800.000
600.000
150.000
3.000
0.000
60.000
-17.000
Upper Limit
No Upper Linit
90.000
87.000
105.000
Upper Linit
5850.000
No Upper Limit
603.571
200.000
Transcribed Image Text:For the next 6 numbers: Refer to the Management Scientist output of a maximization LP problem. The constraints are defined as follows: Constraint 1: advertising budget ( ) Constraint 2: sales force availability ( ) Constraint 3: production level (=) Constraint 4: retail stores requirement ( ) Optimal Solution Objective Function Value - Variable. Constraint X1 X2 X1 X2 X3 X4 X3 X4 1 2 Variable 1 2 3 3 4 OBJECTIVE COEFFICIENT RANGES 4 Constraint RIGHT HAND SIDE RANGES Value Slack/Surplus Lover Limit 25.000 425.000 150.000 0.000 84.000 50.000 No Lover Linit No Lover Linit Lover Limit 48450.000 0.000 25.000 0.000 0.000 4950.000 1775.000 515.000 0.000 Reduced Costs Dual Prices Current Value 90.000 84.000 70.000 60.000 Current Value 0.000 0.000 0.000 45.000 5000.000 1800.000 600.000 150.000 3.000 0.000 60.000 -17.000 Upper Limit No Upper Linit 90.000 87.000 105.000 Upper Linit 5850.000 No Upper Limit 603.571 200.000
What should be the objective function coefficient of X4 to make its value positive?
45
105
O 195
O 115
Transcribed Image Text:What should be the objective function coefficient of X4 to make its value positive? 45 105 O 195 O 115
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