The farmer is considering a re-design of her paddocks to trial short-term intensified grazing in order to improve grass cover and reduce erosion. This will require modifications to the network of laneways. The farmer is considering a network as shown in Figure 2, but is worried that the new network will cause problems for the milking schedule.

How many additional pieces of information (cows per minute between laneway intersec- tions) do we need to fully determine the flow through the proposed laneway system?

? ? ? 15 9 ? ? ? ? ? ? 12 ? ? 18 ? 12 Figure 2: Proposed laneway system under new paddock arrangement ? ? ? 15 9 ? ? ? ? ? ? 12 ? ? 18 ? 12 Figure 2: Proposed laneway system under new paddock arrangement