Final answer:
The three key assumptions for a linear programming model are equal farmland quality, a single market city, and economically rational farmers seeking to maximize profit.
Step-by-step explanation:
The three assumptions necessary for a linear programming model to be appropriate in agriculture are as follows:
- All farmland is of equal quality and there are no transport advantages for any location.
- There is only one market city where farmers sell their goods.
- Farmers are economically rational and aim to maximize profit, choosing the most profitable use for their land.
These assumptions are critical for the model to work effectively and predict the decision-making process of agriculturalists. They also highlight the simplified nature of such models compared to the real-world complexity.