1. Controlling Air
Pollution

2. AGENDA
• Controlling Air Pollution-Problem
• Problem Understanding
• Solution

3. Problem
• The NORI & LEETS ., one of the major producers of steel in
its part of the world, is located in the city of Steeltown an is
the only larger employee there.
• Steeltown has grown and proposed along with the company
which now employs nearly 50000 residents.
• The attitude of the towns people always has been what’s good
for Nori & Leets is Good for the town .
• This attitude is now changing . Uncontrolled air pollution from
the company’s furnace is ruining the apperance of the city and
endangering the health of its residents.

4. PROBLEM UNDERSTANDING

8. Final Problem

9. Solution (in LINGO S/w)
Min = 8 * a + 10 * b + 7 * c + 6 * d + 11 * e + 9 * f ;
12 * a + 9 * b + 25 * c + 20 * d + 17 * e + 13 * f > = 60;
35 * a + 42 * b + 18 * c + 31 * d + 56 * e + 49 * f > = 150;
37 * a + 53 * b + 28 * c + 24 * d + 29 * e + 20 * f > = 125;
a > = 0 ; a < = 1;
b > = 0 ;b < = 1;
c > = 0; c < = 1;
d > = 0; d < = 1;
e > = 0; e < = 1;
f > = 0;f < = 1;

10. Objective value: 32.15463
Infeasibilities: 0.000000
Total solver iterations: 4
Model Class : LP
Total variables: 6
Nonlinear variables: 0
Integer variables: 0
Total constraints: 16
Nonlinear constraints: 0
Total non zeros: 36
Nonlinear non zeros: 0

11. Variable Value Reduced Cost
A 1.000000 0.000000
B 0.6226975 0.000000
C 0.3434794 0.000000
D 1.000000 0.000000
E 0.04757282 0.000000
F 1.000000 0.000000
Row Slack or Surplus Dual Price
1 32.15463 -1.000000
2 0.000000 -0.1110470
3 0.000000 -0.1268171
4 0.000000 -0.6932564E-01
5 1.000000 0.000000
6 0.6226975 0.000000

12. 7 0.3434794 0.000000
8 1.000000 0.000000
9 0.4757282E-01 0.000000
10 1.000000 0.000000
11 0.000000 0.3362110
12 0.3773025 0.000000
13 0.6565206 0.000000
14 0.000000 1.816085
15 0.9524272 0.000000
16 0.000000 0.4416164E-01