The llamas took pride in the centuries old use as pack animals in the South American Andes. They decided to join forces with their grazing buddy the horse and lug ripe fruit from the orchard (designated as Fruit) down to the Pond

Use the capacities indicated on each of the branches to determine the maximal flow from the orchard down to the pond.

Answer: The maximum flow is 23 using these paths:
Fruit-Pond = 5
Fruit-Barn-Grass-Oak-Pond = 8
Fruit-Oak-Grass-Hay-Pond = 7
Fruit-Barn-Oak-Shade-Hay-Pond = 3