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### Ot ppt

1. 1. Controlling Air Pollution
2. 2. AGENDA• Controlling Air Pollution-Problem• Problem Understanding• Solution
3. 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. 4. PROBLEM UNDERSTANDING
5. 5. Final Problem
6. 6. 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;
7. 7. Objective value: 32.15463Infeasibilities: 0.000000Total solver iterations: 4Model Class : LPTotal variables: 6Nonlinear variables: 0Integer variables: 0Total constraints: 16Nonlinear constraints: 0Total non zeros: 36Nonlinear non zeros: 0
8. 8. 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
9. 9. 7 0.3434794 0.000000 8 1.000000 0.000000 9 0.4757282E-01 0.00000010 1.000000 0.00000011 0.000000 0.336211012 0.3773025 0.00000013 0.6565206 0.00000014 0.000000 1.81608515 0.9524272 0.00000016 0.000000 0.4416164E-01