There are three factories on the stinking river (factories 1, 2 and 3). each emits two types of pollutants (pollutant a and pollutant b) into the river. if the waste from each factory is processed, the pollution can be reduced. it costs $15 to process a ton of wastewater at factory 1, and each ton processed reduces the amount of pollutant a by 0.1 ton and the amount of pollutant b by .45 tons. it costs $10 to process a ton of wastewater at factory 2, and each ton processed reduces the amount of pollutant 1 by .2 ton and the amount of pollutant 2 by .25 tons. it costs $20 to process a ton of wastewater at factory 3, and each ton processed reduces the amount of pollutant a by 0.4 tons and the amount of pollutant b by 0.30 tons. the state wants to reduce the amount of pollutant a in the river by 30 tons and the amount of pollutant b by 40 tons. Do you think the linear programming assumptions of proportionality, additivity, divisibility, and certainty are reasonable for this problem? Think about what you know about reducing pollutants.