Consider the following Solver sensitivity report of a profit maximization problem. 5 6 Variable Cells 7 8 Cell 9 $B$3 x1 10 $C$3 x2 11 12 Constraints 13 14 15 16 17 18 Name Cell Name $D$10 Extrusion Used $D$11 Packaging Used $D$12 Additive Used Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 6 7.333333333 11 3 6 0 0 48 18 12 Final Shadow Constraint Allowable Value Price R.H. Side Increase 34 40 3 11 0 48 18 16 6 2 1E+30 6 Allowable Decrease 8 2 4 Which of the following statements is correct? O A. Objective function coefficient (OFC) of x1 needs to be decreased by 7.33 in order for x1 to equal 3. B. Objective function coefficient (OFC) of x2 needs to be increased by 5 in order for x2 to equal 6. C. Optimal solution: x1 = 3, x2 = 6, total profit = 342 O D. Optimal solution: x1 = 34, x2 = 40, total profit = 342

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
Section: Chapter Questions
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Consider the following Solver sensitivity report of a profit maximization problem.
5
6 Variable Cells
7
8
Cell
9
$B$3 x1
10 $C$3 x2
11
12 Constraints
13
14
15
16
17
18
Name
Cell
Name
$D$10 Extrusion Used
$D$11 Packaging Used
$D$12 Additive Used
Final Reduced Objective Allowable Allowable
Cost Coefficient Increase
Value
Decrease
6 7.333333333
11
3
6
0
0
48
18
12
Final Shadow Constraint Allowable
Value Price
R.H. Side Increase
34
40
3
11
0
48
18
16
6
2
1E+30
6
Allowable
Decrease
8
2
4
Which of the following statements is correct?
O A. Objective function coefficient (OFC) of x1 needs to be decreased by 7.33 in order for x1 to equal 3.
B. Objective function coefficient (OFC) of x2 needs to be increased by 5 in order for x2 to equal 6.
C. Optimal solution: x1 = 3, x2 = 6, total profit = 342
O D. Optimal solution: x1 = 34, x2 = 40, total profit = 342
Reset Selection
Transcribed Image Text:Consider the following Solver sensitivity report of a profit maximization problem. 5 6 Variable Cells 7 8 Cell 9 $B$3 x1 10 $C$3 x2 11 12 Constraints 13 14 15 16 17 18 Name Cell Name $D$10 Extrusion Used $D$11 Packaging Used $D$12 Additive Used Final Reduced Objective Allowable Allowable Cost Coefficient Increase Value Decrease 6 7.333333333 11 3 6 0 0 48 18 12 Final Shadow Constraint Allowable Value Price R.H. Side Increase 34 40 3 11 0 48 18 16 6 2 1E+30 6 Allowable Decrease 8 2 4 Which of the following statements is correct? O A. Objective function coefficient (OFC) of x1 needs to be decreased by 7.33 in order for x1 to equal 3. B. Objective function coefficient (OFC) of x2 needs to be increased by 5 in order for x2 to equal 6. C. Optimal solution: x1 = 3, x2 = 6, total profit = 342 O D. Optimal solution: x1 = 34, x2 = 40, total profit = 342 Reset Selection
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