A relief agency is urgently trying to get the maximum possible quantity of supplies from its base Alto to the volcano-ravaged city of Epi. One available road goes via Bi. The agency estimates that the Alto-to-Billi part of that road can carry 500 tons per day, and the Billi-to-Epi segment, 320 tons. A second route goes via Chau and Domo, with the Alto-to-Chau having capacity 650 tons, the Chau-to-Domo section, 470, and the Domo-to-Epi segment, 800. There is also a small mountain road with capacity 80 tons that connects Billi to Domo. Formulate and solve this problem as a maximum flow model. Record your computational details.