1. 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

2. 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

3. 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

4. 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

5. 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

6. 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

7. farm a
b
c

8. 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