  Vineyard replacement is a common practice in every wine-growing farm since
the grapevine production decays over time and requires a new vine to ensure the
business sustainability. In this paper, we formulate a simple discrete model
that captures the vineyard's main dynamics such as production values and grape
quality. Then, by applying binary non-linear programming methods to find the
vineyard replacement trigger, we seek the optimal solution concerning different
governmental subsidies to the target producer.
