1 / 3

Question

Question. There are three factories on the Momiss River. Each factory emits two types of pollutants into the river. If the waste from each factory is processed, the pollution in the river can be reduced.

trevet
Download Presentation

Question

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript


  1. Question There are three factories on the Momiss River. Each factory emits two types of pollutants into the river. If the waste from each factory is processed, the pollution in the river can be reduced. It costs $15 to process a ton of waste from factory 1, and each ton of factory 1 waste processed will reduce the amount of pollutant 1 by 0.10 ton and will reduce the amount of pollutant 2 by 0.45 ton. It costs $10 to process a ton of waste from factory 2, and each ton of factory 2 waste processed will reduce the amount of pollutant 1 by 0.20 ton and will reduce the amount of pollutant 2 by 0.25 ton. It costs $20 to process a ton of waste from factory 3, and each ton of factory 3 waste processed will reduce the amount of pollutant 1 by 0.40 ton and will reduce the amount of pollutant 2 by 0.30 ton. The state wishes to reduce the amount of pollutant 1 in the river by at least 30 tons, and the amount of pollutant 2 in the river by at least 40 tons. Formulate an LP that will minimize the cost of reducing pollution by the desired amounts.

  2. Variables:- P1= amount of pollutant 1 in the waste give out by factory 1 Q1= amount of pollutant 1 in the waste given out by factory 2 R1= amount of pollutant 1 in the waste given out by factory 3 P2= amount of pollutant 2 in the waste given out by factory 1 Q2= amount of pollutant 2 in the waste given out by factory 2 R2= amount of pollutant 2 in the waste given out by factory 3

  3. Objective :- Minimize cost of reducing pollution by the desired amount Z= 15(P1+P2)+10(Q1+Q2)+20(R1+R2) Constraints :- - 0.10P1+0.20Q1+0.40R1 >=30 - 0.45P2+0.25Q2+0.30R2 >= 40 - P1,P2,Q1,Q2,R1,R2>=0

More Related