The Chemical Company has two plants located along a stream (see figure). Plant 1 is generating...

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The Chemical Company has two plants located along a stream (see figure). Plant 1 is generating 20 units of pollutants daily and plant 2 is generating 14 units. Before the wastes are discharged into the stream, parts of these pollutants are removed by a waste treatment facility in each plant. The costs associated with removing a unit of pollutant are $1000 and $800 for plants 1 and 2, respectively. The rates of flow in the stream are Q₁ = 5 million gallons per day (mgd) and Q₂ = 2 mgd, and the flows contain no pollutants until they pass the plants. Stream standards require that the number of units of pollutants per million gallons of flow should not exceed 2. Twenty percent of the pollutants entering the stream at plant 1 will be removed by natural processes (i.e., oxidation by the air) before they reach plant 2. The Chemical Company wants to determine the most economical operation of its waste treatment facilities that will allow it to satisfy the stream standards. Formulate and solve this problem using linear programming. Plant 1 Q₂ Plant 2 The Chemical Company has two plants located along a stream (see figure). Plant 1 is generating 20 units of pollutants daily and plant 2 is generating 14 units. Before the wastes are discharged into the stream, parts of these pollutants are removed by a waste treatment facility in each plant. The costs associated with removing a unit of pollutant are $1000 and $800 for plants 1 and 2, respectively. The rates of flow in the stream are Q₁ = 5 million gallons per day (mgd) and Q₂ = 2 mgd, and the flows contain no pollutants until they pass the plants. Stream standards require that the number of units of pollutants per million gallons of flow should not exceed 2. Twenty percent of the pollutants entering the stream at plant 1 will be removed by natural processes (i.e., oxidation by the air) before they reach plant 2. The Chemical Company wants to determine the most economical operation of its waste treatment facilities that will allow it to satisfy the stream standards. Formulate and solve this problem using linear programming. Plant 1 Q₂ Plant 2