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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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Worksheet: [Final OR.xls]Sheet1


Target Cell (Value Of)

Cell Name Original Value Final Value$C$22 Obj Fun X112 0 22400

Adjustable Cells


$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


$C$25 C1 X112 50000 $C$25=$E$25 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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Target Cell (Min)

Cell Name Original Value Final Value$C$36 Obj fun X12 0 3275

Adjustable Cells


$B$34 X11 0 0

$C$34 X12 0 4600

$D$34 X21 0 5000

$E$34 X22 0 800

Constraints







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Target Cell (Min)

Cell Name Original Value Final Value$C$50 Obj fun X12 0 2651

Adjustable Cells


$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


$C$53 C1 X12 4700 $C$53


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Target Cell (Min)

Cell Name Original Value Final Value$C$66 Obj fun X12 0 4895.5

Adjustable Cells


$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


$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


11/23

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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Page 3

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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Page 5

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

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