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Use the following Excel output to answer the following questions.   a) Write only the objective function.  b) What is the optimal solution? Give the values for all variables. c) Write the objective function value. d) In the original problem, if the right hand side of constraint #2 were increase to 321, how would it change objective function value?

Use the following Excel output to answer the following questions.   a) Write only the objective function.  b) What is the optimal solution? Give the values for all variables. c) Write the objective function value. d) In the original problem, if the right hand side of constraint #2 were increase to 321, how would it change objective function value?

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
Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...
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Use the following Excel output to answer the following questions.

 

a) Write only the objective function. 
b) What is the optimal solution? Give the values for all variables.
c) Write the objective function value.
d) In the original problem, if the right hand side of constraint #2 were increase to 321, how
would it change objective function value?

Sensitivity Report Variable Cells Cell Name $B$3 Number of units E SCS3 Number of units S $D$3 Number of units D Constraints Name $E$6 Constraint 1 $E$7 Constraint 2 $E$8 Constraint 3 Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 80 120 0 Final Value 200 320 2080 0 Shadow Price 31 32 0 63 95 135 Constraint Allowable Allowable R.H. Side Increase Decrease 200 320 2400 15.5 8 1E+30 80 80 1E+30 40 120 320
Transcribed Image Text:Sensitivity Report Variable Cells Cell Name $B$3 Number of units E SCS3 Number of units S $D$3 Number of units D Constraints Name $E$6 Constraint 1 $E$7 Constraint 2 $E$8 Constraint 3 Final Reduced Objective Allowable Allowable Value Cost Coefficient Increase Decrease 80 120 0 Final Value 200 320 2080 0 Shadow Price 31 32 0 63 95 135 Constraint Allowable Allowable R.H. Side Increase Decrease 200 320 2400 15.5 8 1E+30 80 80 1E+30 40 120 320
Number of units Max Profit Constraints Constraint 1 Constraint 2 Constraint 3 E Answer Report Objective Cell (Max) Cell Name $E$4 Max Profit 80 63 Constraints Cell Name $E$6 Constraint 1 $E$7 Constraint 2 $E$8 Constraint 3 1 18 Variable Cells Cell Name $B$3 Number of units E $C$3 Number of units S $D$3 Number of units D S 120 95 1 2 12 D 0 135 Cell Value 1 0 0 0 + 14 LHS 16440 Original Value Final Value 0 16440 200<= 320 <= 2080 <= Original Value Final Value Sign Integer 80 Contin 120 Contin 0 Contin Formula 200 $E$6<=$G$6 Binding 320 $E$7<=$G$7 Binding 2080 $E$8<-$G$8 Not Binding RHS Status Slack 0 200 320 2400 320
Transcribed Image Text:Number of units Max Profit Constraints Constraint 1 Constraint 2 Constraint 3 E Answer Report Objective Cell (Max) Cell Name $E$4 Max Profit 80 63 Constraints Cell Name $E$6 Constraint 1 $E$7 Constraint 2 $E$8 Constraint 3 1 18 Variable Cells Cell Name $B$3 Number of units E $C$3 Number of units S $D$3 Number of units D S 120 95 1 2 12 D 0 135 Cell Value 1 0 0 0 + 14 LHS 16440 Original Value Final Value 0 16440 200<= 320 <= 2080 <= Original Value Final Value Sign Integer 80 Contin 120 Contin 0 Contin Formula 200 $E$6<=$G$6 Binding 320 $E$7<=$G$7 Binding 2080 $E$8<-$G$8 Not Binding RHS Status Slack 0 200 320 2400 320
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