Seven cities are being considered as potential locations for the constriction of at most four wastewater treatment, plants. The table below provides the data for the situation. Missing links indicate that a pipeline cannot be constructed.

The capacity of a pipeline (in gallons per hour) is a direct function of the amount of wastewater generated, which is a function of the populations. Approximately 500 gallons per 1000 residents are discharged in the sewer system per hour. The maximum plant capacity is100,000 gal/hr. Determine the optimal location and capacity of the plants.

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From 1234567 To Cost ($million) of plant construction Population (1000s) Cost ($) of pipeline construction between cities per 1000 gal/hr capacity 1 2 3 5 6 400 200 1.00 50 100 200 1.20 100 120 110 2.00 45 200 120 180 150 1.60 90 120 120 1.80 75 50 150 100 .90 60 7 90 200 70 1.40 30 From 1234567 To Cost ($million) of plant construction Population (1000s) Cost ($) of pipeline construction between cities per 1000 gal/hr capacity 1 2 3 5 6 400 200 1.00 50 100 200 1.20 100 120 110 2.00 45 200 120 180 150 1.60 90 120 120 1.80 75 50 150 100 .90 60 7 90 200 70 1.40 30

Answer rating: 100% (QA)

Let y i be a binary that equals 1 if and only if a plant is constructed on site i ... View the full answer