You run a company that produces three electrical products – clocks, radios, and toasters.  Answer the following question using the Answer Report and the Sensitivity Report Below. Support your answers with explanations and the work showed.   Which of the constraints are binding? What does the slack for each non-binding constraint represent?

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You run a company that produces three electrical products – clocks, radios, and toasters. 

Answer the following question using the Answer Report and the Sensitivity Report Below. Support your answers with explanations and the work showed.

 

Which of the constraints are binding? What does the slack for each non-binding constraint represent?

ANSWER REPORT
Objective Cell (Max)
Original
Cell
Name
Value
Final Value
$F$5 Profit
4478.57
Variable Cells
Original
Cell
Name
Value
Final Value
Integer
$B$3
Clocks
178.57 Contin
$¢$3
Radios
O Contin
$D$3
Toasters
150 Contin
Constraints
Cell
Name
Cell Value
Formula
Status
Slack
SEST Budget Used
2000 ŞE$7<=$F$7
Binding
Not
$E$8
Labor Used
657.14 ŞE$8<=$F$8
Binding
2.86
Not
ŞE$9
Clocks Demand Used
178.57 SE$9<=$F$9
Binding
21.43
$E$10 Radios Demand Used
SE$11 Toasters Demand Used
Not
O SE$10<=$F$10 Binding
150 ŞE$11<-$F$11 Binding
300
SENSITIVITY REPORT
Variable Cells
Final
Reduced
Objective
Allowable
Allowable
Cell
Name
Value
Cost
Coefficient
Increase
Decrease
$B$3
Clocks
178.57
15
1.8
1
$C$3
Radios
-1.43
20
1.43
1E+30
$D$3
Toasters
150
12
1E+30
1.29
Constraints
Final
Shadow
Constraint
Allowable
Allowable
Cell
Name
Value
Price
RH. Side
Increase
Decrease
ŞE$7 Budget Used
2000
2.14
2000
1250
10
SE$8
Labor Used
657.14
660
1E+30
2.86
$E$9
Clocks Demand Used
178.57
200
1E+30
21.43
$E$10 Radios Demand Used
300
1E+30
300
SE$11 Toasters Demand Used
150
1.29
150
5
30
Transcribed Image Text:ANSWER REPORT Objective Cell (Max) Original Cell Name Value Final Value $F$5 Profit 4478.57 Variable Cells Original Cell Name Value Final Value Integer $B$3 Clocks 178.57 Contin $¢$3 Radios O Contin $D$3 Toasters 150 Contin Constraints Cell Name Cell Value Formula Status Slack SEST Budget Used 2000 ŞE$7<=$F$7 Binding Not $E$8 Labor Used 657.14 ŞE$8<=$F$8 Binding 2.86 Not ŞE$9 Clocks Demand Used 178.57 SE$9<=$F$9 Binding 21.43 $E$10 Radios Demand Used SE$11 Toasters Demand Used Not O SE$10<=$F$10 Binding 150 ŞE$11<-$F$11 Binding 300 SENSITIVITY REPORT Variable Cells Final Reduced Objective Allowable Allowable Cell Name Value Cost Coefficient Increase Decrease $B$3 Clocks 178.57 15 1.8 1 $C$3 Radios -1.43 20 1.43 1E+30 $D$3 Toasters 150 12 1E+30 1.29 Constraints Final Shadow Constraint Allowable Allowable Cell Name Value Price RH. Side Increase Decrease ŞE$7 Budget Used 2000 2.14 2000 1250 10 SE$8 Labor Used 657.14 660 1E+30 2.86 $E$9 Clocks Demand Used 178.57 200 1E+30 21.43 $E$10 Radios Demand Used 300 1E+30 300 SE$11 Toasters Demand Used 150 1.29 150 5 30
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