Question 3 – Network Flow
The contractors for the new " Alphaville Barão Geraldo " luxury allotment have hired the brilliant students of the MO412 class to design a high-capacity water distribution network. The project's goal is to pump water from the campus lake (Node Lago ) through a series of seven interconnected retention dams (Nodes A through G ) to the development site (Node Alpha) . The contract specifies that the network must be able to deliver a minimum of 30,000 liters of water per minute . The students have produced the following design, with pipe capacities also measured in thousands of liters per minute: Analyze the following propositions regarding the network's performance and limitations. I. Suppose that, to budget cuts, the pipe from Dam E to Dam G must be downgraded to a capacity of 5,000 L/min. With this hypothetical change, the contractual minimum delivery of 30,000 liters/minute would still be met . II. To improve performance, a proposal is mad...