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For a product mix linear programming problem, we use three materials (A, B and C) to make two products (X and Y) to maximize total profit. The following screenshot is the Answer Report generated by Excel.   Given above report, which statement is FALSE?

For a product mix linear programming problem, we use three materials (A, B and C) to make two products (X and Y) to maximize total profit. The following screenshot is the Answer Report generated by Excel.   Given above report, which statement is FALSE?

Practical Management Science
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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11. 

For a product mix linear programming problem, we use three materials (A, B and C) to make two products (X and Y) to maximize total profit. The following screenshot is the Answer Report generated by Excel.

 

Given above report, which statement is FALSE?

 

Select one:
a.

 

The Material C is used up given the optimal solution.


 

b.

 

The optimal solution is making 5 units of Product X only.


 

c.

 

The Material B is used up given the optimal solution.


 

d.

 

The optimized (maximum) profit is $60.

Objective Cell (Max) Cell $C$7 Name Max Z= Profit Variable Cells Cell Name $B$4 # built Product X $C$4 # built Product Y Constraints Cell Name $D$10 Material A LHS (used) $D$11 Material B LHS (used) $D$12 Material C LHS (used) Original Value 22 Original Value 1 1 Cell Value 10 10 5 Final Value 60 Final Value 5 0 Integer Contin Contin Status Slack 0 2 0 Formula $D$10<=$F$10 Binding $D$11<=$F$11 Not Binding $D$12<=$F$12 Binding
Transcribed Image Text:Objective Cell (Max) Cell $C$7 Name Max Z= Profit Variable Cells Cell Name $B$4 # built Product X $C$4 # built Product Y Constraints Cell Name $D$10 Material A LHS (used) $D$11 Material B LHS (used) $D$12 Material C LHS (used) Original Value 22 Original Value 1 1 Cell Value 10 10 5 Final Value 60 Final Value 5 0 Integer Contin Contin Status Slack 0 2 0 Formula $D$10<=$F$10 Binding $D$11<=$F$11 Not Binding $D$12<=$F$12 Binding
arked out of 00 Flag gestion Excel. Objective Cell (Max) $C$7 Variable Cells Cell $B$4 Constraints Cell Name $D$10 Material A LHS (used) $D$11 Material B LHS (used) $D$12 Material C LHS (used) Variable Cells Name #built Product X # built Product Y Constraints Name Max Z= Profit Cell Name $B$4 #built Product X $C$4 #built Product Y Select one: Ob. Original Value Final Value 22 60 Original Value Final Value 1 5 1 0 Cell Value 10 10 5 5 0 Final Value D Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 10 10 5 0 0 Shadow Price Name Cell $D$10 Material A LHS (used) $D$11 Material B LHS (used) $D$12 Material C LHS (used) Given above reports, which statement is FALSE? 2 0 8 Formula $D$10<=$F$10 Binding $D$11<=$F$11 Not Binding $D$12<=$F$12 Binding 12 10 Integer Contin Contin Status Slack 0 2 0 10 12 5 2 Constraint Allowable Allowable R.H. Side Increase Decrease 2 4 0 1E+30 0.5 2 2 0 If the RHS of Material A constraint changed to 8, the optimized pro If the RHS of Material B constraint changed to 10, the optimized pr
Transcribed Image Text:arked out of 00 Flag gestion Excel. Objective Cell (Max) $C$7 Variable Cells Cell $B$4 Constraints Cell Name $D$10 Material A LHS (used) $D$11 Material B LHS (used) $D$12 Material C LHS (used) Variable Cells Name #built Product X # built Product Y Constraints Name Max Z= Profit Cell Name $B$4 #built Product X $C$4 #built Product Y Select one: Ob. Original Value Final Value 22 60 Original Value Final Value 1 5 1 0 Cell Value 10 10 5 5 0 Final Value D Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 10 10 5 0 0 Shadow Price Name Cell $D$10 Material A LHS (used) $D$11 Material B LHS (used) $D$12 Material C LHS (used) Given above reports, which statement is FALSE? 2 0 8 Formula $D$10<=$F$10 Binding $D$11<=$F$11 Not Binding $D$12<=$F$12 Binding 12 10 Integer Contin Contin Status Slack 0 2 0 10 12 5 2 Constraint Allowable Allowable R.H. Side Increase Decrease 2 4 0 1E+30 0.5 2 2 0 If the RHS of Material A constraint changed to 8, the optimized pro If the RHS of Material B constraint changed to 10, the optimized pr
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