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The file you uploaded appears to contain the 2024 mathematical modeling competition question (C题) focused on crop planting strategies in a rural village. Here is a brief summary of the problem and tasks:

### Problem Summary:
The village has limited arable land (1201 acres) of four types: flat, terraced, sloped, and irrigated. There are also greenhouses (16 regular and 4 smart ones). Each land type has different suitability for crops (grains, vegetables, rice, mushrooms). The goal is to create an optimal planting strategy for the village from 2024 to 2030, while considering factors such as:
- Crop sales volume, cost, yield, and price (stable over the period).
- Some crops may have excess production that either goes to waste or is sold at a discounted price.
- Future trends for some crops (e.g., sales growth for wheat and corn).
- Crop rotation requirements to maintain soil health (e.g., at least one legume crop every three years).
- Planting and management practicality, such as keeping the planted areas manageable and not overly fragmented.

### Tasks:
1. **Optimal planting plan for 2024–2030 under two conditions:**
   - Excess production goes to waste.
   - Excess production is sold at a 50% discount.

2. **Consider annual changes in sales volumes (e.g., wheat and corn growth), crop yields, and costs to create an optimal planting plan.**

3. **Factor in crop substitutability, complementarity, and correlations between variables (e.g., sales, cost, price) to further refine the planting strategy.**

Would you like to dive deeper into a specific problem or discuss how to approach modeling these questions mathematically?

### 5 Related Questions:
1. How can you mathematically model the impact of crop substitutability on sales and cost?
2. What factors influence crop rotation, and how can they be quantified?
3. How would a 5% annual increase in vegetable prices affect the planting strategy?
4. What tools can be used to simulate the planting strategies for multiple years?
5. How can risk factors like fluctuating yields and costs be incorporated into the model?

### Tip:
Use linear programming or dynamic programming for optimal resource allocation over the given time frame, considering the constraints and objectives outlined.

The 2024 mathematical modeling competition question (C题) focused on crop planting strategies in a rural village, asking for an optimal planting plan for 2024–2030 under varying conditions of excess production, annual changes in crop factors, and considering substitutability and complementarity of crops.

Explore the 2024 mathematical modeling competition's challenge on developing an optimal crop planting strategy for a rural village from 2024 to 2030. Learn about mathematical techniques such as optimization, linear programming, and dynamic programming to tackle constraints related to land use, crop rotation, and market demand. Suitable for undergraduate students.

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