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Microsoft Excel 12.0 Answer Report
Worksheet: [Book1]Sheet1
Report Created: 3/21/2011 1:38:18 PM
Target Cell (Min)
Cell Name Original Value Final Value$C$7 obj fun X12 0 1567400
Adjustable Cells
Cell Name Original Value Final Value
$B$5 X11 0 50000
$C$5 X12 0 10000
$D$5 X13 0 0
$E$5 X21 0 0
$F$5 X22 0 20000$G$5 X23 0 0
Constraints
Cell Name Cell Value Formula Status Slack
$C$10 C1 X12 60000 $C$10
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Microsoft Excel 12.0 Answer Report
Worksheet: [Final OR.xls]Sheet1
Report Created: 3/21/2011 2:34:00 PM
Target Cell (Value Of)
Cell Name Original Value Final Value$C$22 Obj Fun X112 0 22400
Adjustable Cells
Cell Name Original Value Final Value
$B$20 X111 0 34166.67
$C$20 X112 0 15833.33
$D$20 X211 0 0
$E$20 X212 0 0
$F$20 X121 0 0$G$20 X122 0 10000
$H$20 X221 0 20000
$I$20 X222 0 0
Constraints
Cell Name Cell Value Formula Status Slack
$C$25 C1 X112 50000 $C$25=$E$25 Not Binding 0
$C$26 C2 X112 0 $C$26=$E$26 Not Binding 0
$C$27 C3 X112 10000 $C$27=$E$27 Not Binding 0$C$28 C4 X112 20000 $C$28=$E$28 Not Binding 0
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Microsoft Excel 12.0 Answer Report
Worksheet: [Final OR.xls]Sheet1
Report Created: 3/21/2011 4:00:43 PM
Target Cell (Min)
Cell Name Original Value Final Value$C$36 Obj fun X12 0 3275
Adjustable Cells
Cell Name Original Value Final Value
$B$34 X11 0 0
$C$34 X12 0 4600
$D$34 X21 0 5000
$E$34 X22 0 800
Constraints
Cell Name Cell Value Formula Status Slack
$C$39 C1 X12 4600 $C$39=$E$39 Not Binding 0
$C$40 C2 X12 5800 $C$40=$E$40 Not Binding 0
$C$41 C3 X12 5000 $C$41=$E$41 Not Binding 0
$C$42 C4 X12 5400 $C$42=$E$42 Not Binding 0
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Microsoft Excel 12.0 Answer Report
Worksheet: [Final OR.xls]Sheet1
Report Created: 3/21/2011 4:38:13 PM
Target Cell (Min)
Cell Name Original Value Final Value$C$50 Obj fun X12 0 2651
Adjustable Cells
Cell Name Original Value Final Value
$B$48 X11 0 4700
$C$48 X12 0 0
$D$48 X13 0 0
$E$48 X21 0 0
$F$48 X22 0 0$G$48 X23 0 0
$H$48 X31 0 3300
$I$48 X32 0 8700
$J$48 X33 0 0
Constraints
Cell Name Cell Value Formula Status Slack
$C$53 C1 X12 4700 $C$53
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Microsoft Excel 12.0 Answer Report
Worksheet: [Final OR.xls]Sheet1
Report Created: 3/21/2011 4:49:52 PM
Target Cell (Min)
Cell Name Original Value Final Value$C$66 Obj fun X12 0 4895.5
Adjustable Cells
Cell Name Original Value Final Value
$B$64 X11 0 2700
$C$64 X12 0 8700
$D$64 X13 0 0
$E$64 X21 0 5300
$F$64 X22 0 0$G$64 X23 0 0
Constraints
Cell Name Cell Value Formula Status Slack
$C$69 C1 X12 11400 $C$69
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Supply of crude oil from Saudi Arabia and Brueni to Australia an
X11 X12 X13 X21 X22 X23
50000 10000 0 0 20000 0
obj fun 1567400
Constraint
C1 60000
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C4 5400 = 5400
Supply of Distillate from Australia, Japna and USA to New Zealand and
X11 X12 X13 X21 X22 X23 X31
4700 0 0 0 0 0 3300
Obj fun 2651
Constraint
C1 4700
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Pa
Japan
e of 22400 b/d
X222
0
Philippines
Solution of Glob
Here I suppose that Australia and Japan is refining 500
supply is from Saudi Arabia and Brunei
transp ortation cost and tanker use cost per barrel.
A. Supply of crude oil fromSaudi Arabia and BruneiAustralia
Crudeoil
Transport Tanker
Saudi 18.50 0.65 0.996Brunei 19.90 0.15 0.0415
Objective function: To minimize the total cost of supply
Objective function: 19.25X11+20.11X12+0X13+20.09X21
Constraint: X11+X12+X13
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Philippines
X32 X33
8700 0
d Philippines
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e 1
l Oil Company
0b/d and 30000b/d respectively and
. Total cost of supply includes crude oil cost,
o Australia and Japan
Japan
otal CrudeOil
Transport Tanker Total
9.25 18.50 0.70 0.913 20.110.09 19.90 0.25 0.415 20.19
20.19x22+0X23
13= Dummy)
fromBaunei, X23= Dummy)
d)
)
d
d Australia and Brunei (b/d)
Japan (b/d) Dummy(b/d)
10000 000020000 0000
A. Refinery operationAccording to case total de
Philippines . So here
refinery by high processin
Saudi ArabiaHigh ProcessiLow Processin
Brunei
High Processi
Low Processin
Objective fun: 0.31X111+0.1
Objective function is get gas
Constrai nt: X111+X112=
X211+X21
X121+X1
X221+ X22
After using solver I got this r
X111 X112
34167 15833
Processing
X111X112
X211X212
X121X122
X221
X22Total
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X122 1000
X221 2000
X22 0
Australi a has gasoline
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Page 2
at Australia and Japan
and of gasoli ne is 22400b/d from Australia, Japan, New Zealand and
y objective function is get gasoline 22400b /d. The cost and out put of
and low processing is given in the table 6.1.
Australia Japan
g X111 X112
X112 X212
g X211 X122
X212 X222
9X112+0.36X211+0.26X212+0.3X121+0.18X122+0.35X221+0.25X222
oline 22400b/d
50000
2= 000
2= 10000
2= 20000
esult
X211 X212 X121 X122 X221 X222
0 0 0 10000 20000 0
Total Ou tput of gasoline (b/d)
rude Oil Gasoline Yield Australia Japan
4167 0.31 1059215833 0.19 3008
0.360.26
0.3010000 0.18 1800
0000 0.35 7000
0.2513600 8800
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10000 0.18 1800
20000 0.35 7000
0 0.25
13600b/d and Japan 8800b/d.
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Output of Distillate (b/d)
Processing Crude Oil Distillate Yield AX111 34167 0.61 2X112 15833 0.73 11
X211 0 0.58X212 0 0.69
X121 0 0.62X122 10000 0.74
X221 20000 0.5 9X22 0 0.70
Total 32
Australia has distillate 32400 b/d and Japan 19200 b/d.
A. Marketing of gasoline and Distillate fromAustralia, Japan and USAGasoline
Country Demand Surpl
Australia 9000 460Japan 3000 580
NewZealand 5000 Philippines 5400 000
Distillate
Country Demand SurplAustralia 21000 114
Japan 12000 720 NewZealand 8000
Philippines 8700 000USA 0000 120
Note: In the case cost o f gasoline and distillate is not given in Aust
taking only variable shipment cost and tanker requirement cost.
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Pag
stralia Japan842558
7400
11800
00 19200
s Total
136008800
50005400
s Total0 32400
192008000
87000 12000
alia and Japan so I am
Supply of gasoline fromAustralia a
Cost (varia
Australia
Japan
Objective function: 0.208X11+0.316
Minimizing objective function
Constraints: X11+X12= 4600
X21+X22= 5800
X11+ X21= 5000
X12+ X22= 5400
After using solver I got this result
Australia
Japan
Supply of Distillate fromAus
Here important to note cost of dis
given $20.70 per barrel. In calculatio
shipment cost and tanker requirement
Cost (varia
N
Australia 0.Japan 0.USA 0.
Objective f unction:
0.208X11+0.316X12+0X13+0.299X2
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Constraint: X11+X12+X13
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e 4
d Japan to NewZealand and Philippines
le shipment cost and tanker r equirement cost b/d)
NewZealand Philippines0.208 0.316
0.299 0.408
12+0.299X21+0.408X22
NewZealand Philippines000 4600
5000 800
ralia, Japan and USA to NewZealand and Philippines
illate of Australia and Japan is not given but cost of distillate of USA is
I amignoring the cost of USA distillate and taking only variable
ost of all coun try i.e. Australia, Japan and USA.
le shipment cost and tanker requirement cost b/d)
wZealand Philippines Dummy
08 0.316 00099 0.408 000
109 0.151 000
+0. 408X22+0X23+0.109X31+0.151X23+0X33
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(Supply fromAustralia)
00 (Supply fromJapan)
00 (Supply fromUSA)
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X11+X21+X31= 8000 (Demand of New Zealand)
X12+X22+X31= 8700 (Demand of Philippines)
X13+X23+X33= 0 (Demand of Dummy)
After using solver I got following result
Supply of Distillate
NewZealand Philippines
Australia 4700 000Japan 000 000
USA 3300 8700
If we consider only Australia and Japan as Supplier of Distillate because they sufficient surplus
the demand of New Zealand and Philippines the I have following result
NewZ ealand PhilippinesAustralia 2700 8700
Japan 5300 000
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X111 X112 X211 X212 X121 X122
34167 15833 0 0 0 10000
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X221 X222
20000 0