251109 or

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s b m c Investment 12.5 22.5 5 12.5 22.5 5 Rate of Return 24 30 40 30 40 42 Return 300 675 200 375 900 210 2660 Risk Constraints No x11 x12 x13 x21 x22 x23 c1 1 1 1 0 0 0 40 <= 50 c2 0 0 0 1 1 1 40 <= 50 c3 1 0 0 1 0 0 25 25 c4 0 1 0 0 1 0 45 45 c5 0 0 1 0 0 1 10 10

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Page 1: 251109 Or

s b m c

Investment 12.5 22.5 5 12.5 22.5 5

Rate of Return 24 30 40 30 40 42

Return 300 675 200 375 900 210 2660

Risk

Constraints No x11 x12 x13 x21 x22 x23

c1 1 1 1 0 0 0 40 <= 50

c2 0 0 0 1 1 1 40 <= 50

c3 1 0 0 1 0 0 25 25

c4 0 1 0 0 1 0 45 45

c5 0 0 1 0 0 1 10 10

Page 2: 251109 Or

Microsoft Excel 12.0 Sensitivity Report

Worksheet: [Book1]Sheet1

Report Created: 13-11-2009 00:15:46

Adjustable Cells

Final Reduced Objective Allowable Allowable

Cell Name Value Cost Coefficient Increase Decrease

$C$2 Investment s 0.409090909 0 0.1 1E+30 0.01

$D$2 Investment b 0.145454545 0 0.03 0.00625 0.002

$E$2 Investment m 0.145454545 0 0.04 0.001666667 1E+30

$F$2 Investment c 0.3 0 0.01 1E+30 0.004545455

Constraints

Final Shadow Constraint Allowable Allowable

Cell Name Value Price R.H. Side Increase Decrease

$G$10 1 0.005454545 1 0.9 0.2

$G$11 0.4 0.118181818 0.4 0.16 0.225

$G$12 0.409090909 0 0.75 1E+30 0.340909091

$G$13 0 -0.000909091 0 0.32 0.266666667

$G$14 0.3 0 0.1 0.2 1E+30

$G$15 0.3 0.004545455 0.3 0.2 0.2

Page 3: 251109 Or

s b m c

Investment 0.75 0 0.15 0.1

Rate of Return 0.1 0.03 0.04 0.01

Return 0.075 0 0.006 0.001 8.2

Risk 0.8 0.2 0.3 0

Constraints No

1 0.75 0 0.15 0.1 1 = 1

2 0.6 0 0.045 0 0.645 <= 0.7

3 1 0 0 0 0.75 <= 0.75

4 0 -1 1 0 0.15 >= 0

5 0 0 0 1 0.1 >= 0.1

6 0 0 0 1 0.1 <= 0.3

Page 4: 251109 Or

cost matrix

sd nf pc supply total

truck 12 6 5 9000

rail road 20 11 9

airplane 30 26 28

demand 4000 2500 2500

alocation matrix

sd nf pc sum <=> supply

truck 1000 2000 0 3000 = 3000

railroad 0 500 2500 3000 = 3000

airplane 3000 0 0 3000 = 3000

sum 4000 2500 2500

<=> = = =

demand 4000 2500 2500

total cost 142000

Page 5: 251109 Or

d1 d2 d3 supply

s1 5 1 7 10

s2 6 4 6 80

s3 3 2 5 15

5 3 2 40

demand 75 20 50

d1 d2 d3 supply

s1 20 0 80 0 100 100

s2 50 50 0 0 100 125

s3 0 0 0 0 0 75

0 40 0 0 40 40

70 90 80 0

dummy

demand 70 90 80

1280 500

Page 6: 251109 Or

d1 d2 d3 d4 supply

s1 6 5 1 3 100

s2 4 8 7 2 125

s3 6 3 9 5 75

demand 70 90 80 60

d1 d2 d3 d4 supply

s1 0 15 80 5 100 100

s2 70 0 0 55 125 125

s3 0 75 0 0 75 75

70 90 80 60

demand 70 90 80 60

785

Page 7: 251109 Or

farm a

b

c

Page 8: 251109 Or

D E F supply

A 5 1 7 10

B 6 4 6 80

C 3 2 5 15

D 5 3 2 40

demand 75 20 50

D E F supply

A 0 0 10 10 10

B 60 20 0 80 80

C 15 0 0 15 15

D 0 0 40 40 40

75 20 10

demand 75 20 50

635