A factory situated along the River Ganges discharges two types of pollutants from its tanning and dyeing manufacturing processes into the river. To remove the pollutants from its effluents, the factory installed “minimum discharge” technology, which costs $25 and $10 to process a ton of tanning wastes and a ton of dyeing wastes respectively. The technology removes 0.1 tons of pollutant 1 from a ton of tanning waste and removes 0.2 tons of it from a ton of dyeing waste. In the case of pollutant 2, it removes 0.3 tons of dyeing waste and 0.08 tons of tanning waste from every ton of each of the wastes processed. Since tanning wastes are more harmful than dyeing wastes, the factory plans to process more tanning wastes than dyeing wastes. The current policy is that the tons of tanning waste processed is at least twice as much as the tons of dyeing waste processed. The factory has to remove at least 25 tons of pollutant 1 and at least 35 tons of pollutant 2. Formulate a linear programming problem to minimize cost.
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