AppA - SCM
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Transcript of AppA - SCM
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Appendix A - Linear Programming Using the Excel Solver
APPENDIX ALINEAR PROGRAMMING USING THE EXCEL SOLVER
1. Excel Solution
X Y Total
Decision 6 0Profit $3 $1 $18
ResourcesX Y Used Capact!
A 12 14 72
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Appendix A - Linear Programming Using the Excel Solver
#.
A " Total
Decision 15 10Cost $2 $4 $70
ResourcesA " Used Capact!
A 4 6 120 >= 120B 2 6 90 >= 72C 1 10 >= 10
Graphical solution--the problem requested the Excel solution but the !ollo"ing graphicalsolution is provided !or classroom use i! desired.
A-#
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Appendix A - Linear Programming Using the Excel Solver
$. a. %aximi&e ' ( #)*1+ ,*#+ *$
s.t. *1+ #*#+ $*$ ))
/*1+ $*# /)
#*1 + *$ $#)
*$ )
*1 *# *$ 0 )
b. Excel solution
X# X$ X% Total
Decision 45 100 80Profit $20 $6 $8 $2,140
ResourcesX# X$ X% Used Capact!
Millin 8 2 3 800
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Appendix A - Linear Programming Using the Excel Solver
/. a.
Let A ( pounds o! !ood A
7 ( pounds o! !ood 7
%inimi&e 8 & ( .9A + .17
s.t. ,))A + :))7 $,)) %aximum calories
,))A + :))7 0 1)) %inimum calories
#))A + 9))7 1/)) %aximum starch
/))A + 1))7 0 /)) %inimum protein
A # %aximum amount o! A
A-/
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Appendix A - Linear Programming Using the Excel Solver
. Add constraint 1))7 1) and change ob;ective !unction to & ( 1.9A + #.)7
,. a.
Let A ( gallons o! !uel A to mix
7 ( gallons o! !uel 7 to mix
%inimi&e & ( 1.#)A + ).:)7
s.t. A + 7 0 $))) !uel demand
A + 7 /))) %aximum storage
A #))) %aximum !uel A available
7 /))) %aximum !uel 7 available
1)A - 7 0 ) 7lend ) octane minimumA + 7? 0 )
A-
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Appendix A - Linear Programming Using the Excel Solver
b.
A " Total
Decision 1000 2000 3000Cost $1'20 $'90 $3,000
ResourcesA " Used Capact!
Min %e)"n% 1 1 3000 >= 3000M"* &tor"e 1 1 3000
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Appendix A - Linear Programming Using the Excel Solver
9. Let8 ( dollars spent on !ood
S ( dollars spent on shelter
E ( dollars spent on entertainment
%aximi&e ' ( # + $S + E
s.t. + S + E 1)) 4otal 7udget
+ S 1))) %aximum on ood and Shelter
S 9)) %aximum on Shelter alone
E $)) %aximum on Entertainment
& S E Total
Decision 300 700 300
Profit 2 3 5 4,200
Resources
X# X$ X% Used Capact!
tot"l .%et 1 1 1 1300
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Appendix A - Linear Programming Using the Excel Solver
:. Cun &one !or , hours and man !or / hours at a cost o! 2$/.
,o(e Ma( Total
Decision 6 4
Cost $48 $24 $384
Processes
X# X$ Produced De-a(d
BCP1 3 1 22 >= 20BCP2 1 1 10 >= 10
BCP3 1 0 6 >= 6
1). She should plant 9)) acres in corn and 1)) acres in so3beans.
Cor( So!.ea(s /0eat Total
Decision 700 100 0 800Profit er "cre $2,000 $2,500 $3,000 $1,650,000
Resources
Cor( So!.ea(s /0eat Used Capact!
!".or orers 0'1 0'3 0'2 100