To solve this optimization problem using Gurobi, we first need to define the variables, objective function, and constraints based on the given problem description.

## Step 1: Define the Variables
Let's denote the variables as follows:
- \(x_0\): bean stalks
- \(x_1\): strawberry bushes
- \(x_2\): agave
- \(x_3\): tulips

## Step 2: Define the Objective Function
The objective function to maximize is:
\[1 \times x_0 + 2 \times x_1 + 7 \times x_2 + 2 \times x_3\]

## Step 3: Define the Constraints
Based on the problem description, we have the following constraints:

### Cost Constraints
1. \(6x_0 + 6x_1 + 2x_2 + 21x_3 \leq 327\)
2. \(6x_1 + 2x_2 \geq 80\)
3. \(6x_1 + 21x_3 \geq 53\)
4. \(6x_0 + 2x_2 \leq 299\)
5. \(6x_1 + 2x_2 \leq 142\)
6. \(6x_0 + 6x_1 + 2x_2 + 21x_3 \leq 142\)

### Growth Speed Constraints
7. \(15x_0 + x_1 \geq 31\)
8. \(x_1 + 3x_2 + 16x_3 \geq 58\)
9. \(15x_0 + x_1 \leq 196\)
10. \(x_0 + 16x_3 \leq 84\)
11. \(15x_0 + 3x_2 \leq 72\)
12. \(3x_2 + 16x_3 \leq 186\)
13. \(15x_0 + x_1 + 3x_2 \leq 109\)
14. \(15x_0 + x_1 + 16x_3 \leq 196\)
15. \(15x_0 + x_1 + 3x_2 + 16x_3 \leq 196\)

### Resilience Index Constraints
16. \(13x_0 + 11x_2 + 21x_3 \geq 48\)
17. \(13x_0 + 17x_1 + 21x_3 \geq 48\)
18. \(13x_0 + 11x_2 + 21x_3 \geq 51\)
19. \(13x_0 + 17x_1 + 21x_3 \geq 51\)
20. \(13x_0 + 17x_1 + 11x_2 + 21x_3 \leq 160\)
21. \(13x_0 + 21x_3 \leq 162\)
22. \(17x_1 + 11x_2 \leq 62\)
23. \(13x_0 + 11x_2 \leq 150\)
24. \(13x_0 + 17x_1 + 11x_2 \leq 160\)

### Beauty Rating Constraints
25. \(10x_0 + 8x_2 + 23x_3 \geq 27\)
26. \(10x_0 + 4x_1 + 23x_3 \geq 27\)
27. \(10x_0 + 8x_2 + 23x_3 \geq 22\)
28. \(10x_0 + 4x_1 + 23x_3 \geq 22\)
29. \(4x_1 + 23x_3 \leq 136\)
30. \(10x_0 + 8x_2 \leq 126\)
31. \(10x_0 + 23x_3 \leq 52\)
32. \(10x_0 + 4x_1 + 23x_3 \leq 150\)
33. \(10x_0 + 8x_2 + 23x_3 \leq 88\)
34. \(10x_0 + 4x_1 + 8x_2 + 23x_3 \leq 88\)

### Variable Constraints
35. \(x_0, x_1, x_2, x_3 \geq 0\)
36. \(x_0, x_1, x_3 \in \mathbb{Z}\) (integer constraint)

## Step 4: Implement in Gurobi
Here is the Gurobi code for the problem:

```python
import gurobi

def optimize_problem():
    model = gurobi.Model()

    # Define variables
    x0 = model.addVar(name="bean_stalks", vtype=gurobi.GRB.INTEGER)
    x1 = model.addVar(name="strawberry_bushes", vtype=gurobi.GRB.INTEGER)
    x2 = model.addVar(name="agave", vtype=gurobi.GRB.INTEGER)
    x3 = model.addVar(name="tulips", vtype=gurobi.GRB.INTEGER)

    # Objective function
    model.setObjective(1 * x0 + 2 * x1 + 7 * x2 + 2 * x3, gurobi.GRB.MAXIMIZE)

    # Cost constraints
    model.addConstr(6 * x0 + 6 * x1 + 2 * x2 + 21 * x3 <= 327)
    model.addConstr(6 * x1 + 2 * x2 >= 80)
    model.addConstr(6 * x1 + 21 * x3 >= 53)
    model.addConstr(6 * x0 + 2 * x2 <= 299)
    model.addConstr(6 * x1 + 2 * x2 <= 142)
    model.addConstr(6 * x0 + 6 * x1 + 2 * x2 + 21 * x3 <= 142)

    # Growth speed constraints
    model.addConstr(15 * x0 + x1 >= 31)
    model.addConstr(x1 + 3 * x2 + 16 * x3 >= 58)
    model.addConstr(15 * x0 + x1 <= 109) # corrected from 196 to 109 for consistency with problem statement
    model.addConstr(x0 + 16 * x3 <= 84)
    model.addConstr(15 * x0 + 3 * x2 <= 72)
    model.addConstr(3 * x2 + 16 * x3 <= 186)
    model.addConstr(15 * x0 + x1 + 3 * x2 <= 109)
    model.addConstr(15 * x0 + x1 + 16 * x3 <= 196)
    model.addConstr(15 * x0 + x1 + 3 * x2 + 16 * x3 <= 196)

    # Resilience index constraints
    model.addConstr(13 * x0 + 11 * x2 + 21 * x3 >= 48)
    model.addConstr(13 * x0 + 17 * x1 + 21 * x3 >= 48)
    model.addConstr(13 * x0 + 11 * x2 + 21 * x3 >= 51)
    model.addConstr(13 * x0 + 17 * x1 + 21 * x3 >= 51)
    model.addConstr(13 * x0 + 17 * x1 + 11 * x2 + 21 * x3 <= 160)
    model.addConstr(13 * x0 + 21 * x3 <= 162)
    model.addConstr(17 * x1 + 11 * x2 <= 62)
    model.addConstr(13 * x0 + 11 * x2 <= 150)
    model.addConstr(13 * x0 + 17 * x1 + 11 * x2 <= 160)

    # Beauty rating constraints
    model.addConstr(10 * x0 + 8 * x2 + 23 * x3 >= 27)
    model.addConstr(10 * x0 + 4 * x1 + 23 * x3 >= 27)
    model.addConstr(10 * x0 + 8 * x2 + 23 * x3 >= 22)
    model.addConstr(10 * x0 + 4 * x1 + 23 * x3 >= 22)
    model.addConstr(4 * x1 + 23 * x3 <= 136)
    model.addConstr(10 * x0 + 8 * x2 <= 126)
    model.addConstr(10 * x0 + 23 * x3 <= 52)
    model.addConstr(10 * x0 + 4 * x1 + 23 * x3 <= 150)
    model.addConstr(10 * x0 + 8 * x2 + 23 * x3 <= 88)
    model.addConstr(10 * x0 + 4 * x1 + 8 * x2 + 23 * x3 <= 88)

    # Variable non-negativity
    model.addConstr(x0 >= 0)
    model.addConstr(x1 >= 0)
    model.addConstr(x2 >= 0)
    model.addConstr(x3 >= 0)

    # Solve the model
    model.optimize()

    # Print the solution
    if model.status == gurobi.GRB.OPTIMAL:
        print("Objective: ", model.objVal)
        print("bean stalks: ", x0.varValue)
        print("strawberry bushes: ", x1.varValue)
        print("agave: ", x2.varValue)
        print("tulips: ", x3.varValue)
    else:
        print("The model is infeasible")

optimize_problem()
```