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7/25/2019 Solver Solution 1
1/22
5 3
DV X1 X2 Optimal Value RHS Consumption
10 20 110
2 1 40 40
1 2 50 50
constraints
7/25/2019 Solver Solution 1
2/22
40 50
DV X1 X2 Optimal Value RHS
24 8 1360
1 2 40
4 3 120
10
DV X1
answers are ater optimalit! test 0
2
1
1
7/25/2019 Solver Solution 1
3/22
5 4
DV X1 X2
Consumption 3 1"5
6 4
40 1 2
120 #1 1
0 1
60
X2 Optimal Value RHS Consumption
70 4200
1 70 70
1 40 70
3 90 210
0 0
7/25/2019 Solver Solution 1
4/22
Optimal Value RHS Consumption
21
24 24
6 6
1 #1"5
2 1"5
not ( consumptionco) in assumption' r consumin& n!p*!sical
7/25/2019 Solver Solution 1
5/22
Microsot !"cel 1#$0 %ns&er Report
'or(s)eet* +sol,er solution 1$"ls"-Sol,er 3
Report Create.* 21/01/2016 10*0*#
Result* Sol,er oun. a solution$ %ll Constraints an. optimalit con.itions a
Sol,er !nine
+n&ine, Simple- ./
Solution ime, 0"031 Secon(s"terations, 2 Su%pro%lems, 0
Sol,er Options
a- ime nlimite( terations nlimite( /recision 0"000001
a- Su%pro%lems nlimite( a- nte&er Sols nlimite( nte&er olerance 1 $s
O%7ecti'e Cell a-9
Cell ame Oriinal Value 5inal Value
:+:4 /ro;t otal 25600 254 >8 Contin
:C:3 Decision Varia%les ope(s 54 53 Contin
:D:3 Decision Varia%les C*il( Seats 0 0 Contin
Constraints
Cell ame Cell Value 5ormula Status:+:5 Capital otal >3000 :+:5?@:A:5 =in(in&
:+:6 Stora&e otal 102 :+:6?@:A:6 =in(in&
7/25/2019 Solver Solution 1
6/22
e satise.$
ume one&ati'e
Slac(0
0
7/25/2019 Solver Solution 1
7/22
Microsot !"cel 1#$0 Sensiti,it Report
'or(s)eet* +sol,er solution 1$"ls"-Sol,er 3
Report Create.* 21/01/2016 10*0*#
Varia%le Cells
5inal Re.uce. O8ecti,eCell ame Value Cost Coecient
:=:3 Decision Varia%les =ic!cle >8 0 100
:C:3 Decision Varia%les ope(s 53 0 300
:D:3 Decision Varia%les C*il( Seats 0 #20 50
Constraints
5inal S)a.o& Constraint
Cell ame Value :rice R$H$ Si.e
:+:5 Capital otal >3000 0"166666666< >3000
:+:6 Stora&e otal 102 100 102
7/25/2019 Solver Solution 1
8/22
%llo&ale %llo&alencrease Decrease
50 12"5
66"66666666< 100
201"000+B030
%llo&ale %llo&ale
ncrease Decrease
2>400 31800
53 24"5
7/25/2019 Solver Solution 1
9/22
Microsot !"cel 1#$0 %ns&er Report
'or(s)eet* +sol,er solution 1$"ls"-Sol,er 3
Report Create.* 21/01/2016 10*10*41
Result* Sol,er oun. a solution$ %ll Constraints an. optimalit con.itions a
Sol,er !nine
+n&ine, Simple- ./
Solution ime, 0"016 Secon(s"terations, 2 Su%pro%lems, 0
Sol,er Options
a- ime nlimite( terations nlimite( /recision 0"000001
a- Su%pro%lems nlimite( a- nte&er Sols nlimite( nte&er olerance 1 $s
O%7ecti'e Cell a-9
Cell ame Oriinal Value 5inal Value
:+:4 /ro;t otal 258 >4 Contin
:C:3 Decision Varia%les ope(s 53 54 Contin
:D:3 Decision Varia%les C*il( Seats 0 0 Contin
Constraints
Cell ame Cell Value 5ormula Status:+:5 Capital otal >3000 :+:5?@:A:5 =in(in&
:+:6 Stora&e otal 101 :+:6?@:A:6 =in(in&
7/25/2019 Solver Solution 1
10/22
e satise.$
ume one&ati'e
Slac(0
0
7/25/2019 Solver Solution 1
11/22
Microsot !"cel 1#$0 %ns&er Report
'or(s)eet* +sol,er solution 1$"ls"-Sol,er 3
Report Create.* 21/01/2016 10*11*#0
Result* Sol,er oun. a solution$ %ll Constraints an. optimalit con.itions are
Sol,er !nine
+n&ine, Simple- ./
Solution ime, 0"015 Secon(s"terations, 2 Su%pro%lems, 0
Sol,er Options
a- ime nlimite( terations nlimite( /recision 0"000001
a- Su%pro%lems nlimite( a- nte&er Sols nlimite( nte&er olerance 1 $ss
O%7ecti'e Cell a-9
Cell ame Oriinal Value 5inal Value
:+:4 /ro;t otal 25600 25600"166664 >3">>666666< Contin
:C:3 Decision Varia%les ope(s 54 54"00166666< Contin
:D:3 Decision Varia%les C*il( Seats 0 0 Contin
Constraints
Cell ame Cell Value 5ormula Status:+:5 Capital otal >3001 :+:5?@:A:5 =in(in&
:+:6 Stora&e otal 101 :+:6?@:A:6 =in(in&
7/25/2019 Solver Solution 1
12/22
satise.$
me one&ati'e
Slac(0
0
7/25/2019 Solver Solution 1
13/22
Microsot !"cel 1#$0 Sensiti,it Report
'or(s)eet* +sol,er solution 1$"ls"-Sol,er 3
Report Create.* 21/01/2016 10*11*#1
Varia%le Cells
5inal Re.uce. O8ecti,eCell ame Value Cost Coecient
:=:3 Decision Varia%les =ic!cle >3">>666666< 0 100
:C:3 Decision Varia%les ope(s 54"00166666< 0 300
:D:3 Decision Varia%les C*il( Seats 0 #20 50
Constraints
5inal S)a.o& Constraint
Cell ame Value :rice R$H$ Si.e
:+:5 Capital otal >3001 0"166666666< >3001
:+:6 Stora&e otal 101 100 101
7/25/2019 Solver Solution 1
14/22
%llo&ale %llo&alencrease Decrease
50 12"5
66"66666666< 100
201"00000+B030
%llo&ale %llo&ale
ncrease Decrease
281>> 32401
54"00166666< 23"4>>16666
7/25/2019 Solver Solution 1
15/22
Microsot !"cel 1#$0 %ns&er Report
'or(s)eet* +sol,er solution 1$"ls"-Sol,er 3
Report Create.* 21/01/2016 10*1#*0
Result* Sol,er oun. a solution$ %ll Constraints an. optimalit con.itions a
Sol,er !nine
+n&ine, Simple- ./
Solution ime, 0"016 Secon(s"terations, 2 Su%pro%lems, 0
Sol,er Options
a- ime nlimite( terations nlimite( /recision 0"000001
a- Su%pro%lems nlimite( a- nte&er Sols nlimite( nte&er olerance 1 $s
O%7ecti'e Cell a-9
Cell ame Oriinal Value 5inal Value
:+:4 /ro;t otal 25600"166666< 30>00
Varia%le Cells
Cell ame Oriinal Value 5inal Value nteer
:=:3 Decision Varia%les =ic!cle >3">>6666666< 306 Contin
:C:3 Decision Varia%les ope(s 54"001666666< 1 Contin
:D:3 Decision Varia%les C*il( Seats 0 0 Contin
Constraints
Cell ame Cell Value 5ormula Status:+:5 Capital otal >3000 :+:5?@:A:5 =in(in&
:+:6 Stora&e otal 154 :+:6?@:A:6 =in(in&
7/25/2019 Solver Solution 1
16/22
e satise.$
ume one&ati'e
Slac(0
0
7/25/2019 Solver Solution 1
17/22
Microsot !"cel 1#$0 %ns&er Report
'or(s)eet* +sol,er solution 1$"ls"-Sol,er 3
Report Create.* 21/01/2016 10*17*0
Result* Sol,er oun. a solution$ %ll Constraints an. optimalit con.itions a
Sol,er !nine
+n&ine, Simple- ./
Solution ime, 0"016 Secon(s"terations, 2 Su%pro%lems, 0
Sol,er Options
a- ime nlimite( terations nlimite( /recision 0"000001
a- Su%pro%lems nlimite( a- nte&er Sols nlimite( nte&er olerance 1 $s
O%7ecti'e Cell a-9
Cell ame Oriinal Value 5inal Value
:+:4 /ro;t otal 30>00 31000
Varia%le Cells
Cell ame Oriinal Value 5inal Value nteer
:=:3 Decision Varia%les =ic!cle 306 310 Contin
:C:3 Decision Varia%les ope(s 1 0 Contin
:D:3 Decision Varia%les C*il( Seats 0 0 Contin
Constraints
Cell ame Cell Value 5ormula Status:+:5 Capital otal >3000 :+:5?@:A:5 =in(in&
:+:6 Stora&e otal 155 :+:6?@:A:6 =in(in&
7/25/2019 Solver Solution 1
18/22
e satise.$
ume one&ati'e
Slac(0
0
7/25/2019 Solver Solution 1
19/22
Microsot !"cel 1#$0 %ns&er Report
'or(s)eet* +sol,er solution 1$"ls"-Sol,er 3
Report Create.* 21/01/2016 10*19*26
Result* Sol,er oun. a solution$ %ll Constraints an. optimalit con.itions are
Sol,er !nine
+n&ine, Simple- ./
Solution ime, 0"015 Secon(s"terations, 3 Su%pro%lems, 0
Sol,er Options
a- ime nlimite( terations nlimite( /recision 0"000001
a- Su%pro%lems nlimite( a- nte&er Sols nlimite( nte&er olerance 1 $ss
O%7ecti'e Cell a-9
Cell ame Oriinal Value 5inal Value
:+:4 /ro;t otal 31000 31033"333333
Varia%le Cells
Cell ame Oriinal Value 5inal Value nteer
:=:3 Decision Varia%les =ic!cle 310 308"6666666< Contin
:C:3 Decision Varia%les ope(s 0 0 Contin
:D:3 Decision Varia%les C*il( Seats 0 3"3333333333 Contin
Constraints
Cell ame Cell Value 5ormula Status:+:5 Capital otal >3000 :+:5?@:A:5 =in(in&
:+:6 Stora&e otal 156 :+:6?@:A:6 =in(in&
7/25/2019 Solver Solution 1
20/22
satise.$
me one&ati'e
Slac(0
0
7/25/2019 Solver Solution 1
21/22
=ic!cle ope(s C*il( Seats
Decision Varia%les 308"666< 0 3"3333333333
/ro;t 100 300 50
Capital 300 1200 120
Stora&e 0"5 1 0"5
7/25/2019 Solver Solution 1
22/22
otal a- Capacit!
31033"3333333333
>3000 >3000
156 156
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