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Question 2 The public works department is analyzing the flow of drainage water from the northernmost part of a newly developed city, Town 1, to

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Question 2 The public works department is analyzing the flow of drainage water from the northernmost part of a newly developed city, Town 1, to the southernmost part of the city Town 6. The following Table 2-1 shows flow capacities of the underground drainage pipe in cubic meters per second (cms). The chief planner would like to know the peak flow of drainage water from Town 1 to Town 6 that the drainage system can handle. Table 2-1 To From Town 1 Town 2 Town 3 Town 4 Town 5 Town 6 Town 1 60 50 50 Town 2 60 20 Town 3 60 20 Town 4 60 Town 5 80 Town 6 (a) Draw an appropriate network model using the information in Table 2-1 and propose the solution to address the chief planner's query. (18 marks) (b) Now suppose that the values in Table 2-1 represent the distance between the towns, in kilometer. Propose a relevant network model that will result in the least amount of drainage piping costs possible to be paid by the public works department to connect all the towns. (7 marks)

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