## Step 1: Define the variables and their attributes
We have four variables: 'vincas', 'roses', 'bean stalks', and 'chives'. Each variable has attributes related to cost and resilience index. The costs and resilience indices are as follows:
- vincas: cost = $3, resilience index = 10
- roses: cost = $10, resilience index = 10
- bean stalks: cost = $10, resilience index = 11
- chives: cost = $9, resilience index = 7

## 2: Formulate the objective function
The objective function to minimize is: $3 \times \text{vincas} + 1 \times \text{roses} + 7 \times \text{bean stalks} + 7 \times \text{chives}$.

## 3: Define the constraints
1. $\text{cost of vincas} \geq 33$ (actually, this is for vincas and bean stalks together: $3\text{vincas} + 10\text{bean stalks} \geq 33$)
2. $\text{cost of roses and chives} \geq 33$: $10\text{roses} + 9\text{chives} \geq 33$
3. Total cost $\geq 33$: $3\text{vincas} + 10\text{roses} + 10\text{bean stalks} + 9\text{chives} \geq 33$
4. Resilience index of roses and bean stalks $\geq 22$: $10\text{roses} + 11\text{bean stalks} \geq 22$
5. Resilience index of bean stalks and chives $\geq 26$: $11\text{bean stalks} + 7\text{chives} \geq 26$
6. Resilience index of vincas and roses $\geq 20$: $10\text{vincas} + 10\text{roses} \geq 20$
7. Resilience index of vincas and bean stalks $\geq 15$: $10\text{vincas} + 11\text{bean stalks} \geq 15$
8. Resilience index of vincas, roses, and bean stalks $\geq 25$: $10\text{vincas} + 10\text{roses} + 11\text{bean stalks} \geq 25$
9. Resilience index of roses, bean stalks, and chives $\geq 25$: $10\text{roses} + 11\text{bean stalks} + 7\text{chives} \geq 25$
10. Resilience index of vincas, roses, and chives $\geq 25$: $10\text{vincas} + 10\text{roses} + 7\text{chives} \geq 25$
11. Resilience index of vincas, roses, and bean stalks $\geq 30$: $10\text{vincas} + 10\text{roses} + 11\text{bean stalks} \geq 30$
12. Resilience index of roses, bean stalks, and chives $\geq 30$: $10\text{roses} + 11\text{bean stalks} + 7\text{chives} \geq 30$
13. Resilience index of vincas, roses, and chives $\geq 30$: $10\text{vincas} + 10\text{roses} + 7\text{chives} \geq 30$
14. Resilience index of all $\geq 41$: $10\text{vincas} + 10\text{roses} + 11\text{bean stalks} + 7\text{chives} \geq 41$
15. Resilience index of roses, bean stalks, and chives $\geq 41$: $10\text{roses} + 11\text{bean stalks} + 7\text{chives} \geq 41$
16. Resilience index of vincas, roses, and chives $\geq 41$: $10\text{vincas} + 10\text{roses} + 7\text{chives} \geq 41$
17. Total resilience index of all $\geq 41$: $10\text{vincas} + 10\text{roses} + 11\text{bean stalks} + 7\text{chives} \geq 41$
18. Cost of roses and bean stalks $\leq 159$: $10\text{roses} + 10\text{bean stalks} \leq 159$
19. Cost of vincas and roses $\leq 138$: $3\text{vincas} + 10\text{roses} \leq 138$
20. Total resilience index of vincas, roses, and bean stalks $\leq 75$: $10\text{vincas} + 10\text{roses} + 11\text{bean stalks} \leq 75$
21. Total resilience index of vincas, roses, and chives $\leq 93$: $10\text{vincas} + 10\text{roses} + 7\text{chives} \leq 93$

## 4: Implement the problem in Gurobi
```python
import gurobi

# Create a new model
m = gurobi.Model()

# Define the variables
vincas = m.addVar(name="vincas", vtype=gurobi.GRB.INTEGER)
roses = m.addVar(name="roses", vtype=gurobi.GRB.INTEGER)
bean_stalks = m.addVar(name="bean_stalks", vtype=gurobi.GRB.INTEGER)
chives = m.addVar(name="chives", vtype=gurobi.GRB.INTEGER)

# Objective function
m.setObjective(3 * vincas + roses + 7 * bean_stalks + 7 * chives, gurobi.GRB.MINIMIZE)

# Constraints
m.addConstr(3 * vincas + 10 * bean_stalks >= 33, name="cost_vincas_bean_stalks")
m.addConstr(10 * roses + 9 * chives >= 33, name="cost_roses_chives")
m.addConstr(3 * vincas + 10 * roses + 10 * bean_stalks + 9 * chives >= 33, name="total_cost")
m.addConstr(10 * roses + 11 * bean_stalks >= 22, name="resilience_roses_bean_stalks")
m.addConstr(11 * bean_stalks + 7 * chives >= 26, name="resilience_bean_stalks_chives")
m.addConstr(10 * vincas + 10 * roses >= 20, name="resilience_vincas_roses")
m.addConstr(10 * vincas + 11 * bean_stalks >= 15, name="resilience_vincas_bean_stalks")
m.addConstr(10 * vincas + 10 * roses + 11 * bean_stalks >= 25, name="resilience_vincas_roses_bean_stalks")
m.addConstr(10 * roses + 11 * bean_stalks + 7 * chives >= 25, name="resilience_roses_bean_stalks_chives")
m.addConstr(10 * vincas + 10 * roses + 7 * chives >= 25, name="resilience_vincas_roses_chives")
m.addConstr(10 * vincas + 10 * roses + 11 * bean_stalks >= 30, name="resilience_vincas_roses_bean_stalks_30")
m.addConstr(10 * roses + 11 * bean_stalks + 7 * chives >= 30, name="resilience_roses_bean_stalks_chives_30")
m.addConstr(10 * vincas + 10 * roses + 7 * chives >= 30, name="resilience_vincas_roses_chives_30")
m.addConstr(10 * vincas + 10 * roses + 11 * bean_stalks + 7 * chives >= 41, name="resilience_all")
m.addConstr(10 * roses + 11 * bean_stalks + 7 * chives >= 41, name="resilience_roses_bean_stalks_chives_41")
m.addConstr(10 * vincas + 10 * roses + 7 * chives >= 41, name="resilience_vincas_roses_chives_41")
m.addConstr(10 * roses + 10 * bean_stalks <= 159, name="cost_roses_bean_stalks")
m.addConstr(3 * vincas + 10 * roses <= 138, name="cost_vincas_roses")
m.addConstr(10 * vincas + 10 * roses + 11 * bean_stalks <= 75, name="resilience_vincas_roses_bean_stalks_75")
m.addConstr(10 * vincas + 10 * roses + 7 * chives <= 93, name="resilience_vincas_roses_chives_93")

# Optimize the model
m.optimize()

# Print the solution
if m.status == gurobi.GRB.OPTIMAL:
    print("Objective: ", m.objval)
    print("Vincas: ", vincas.varValue)
    print("Roses: ", roses.varValue)
    print("Bean Stalks: ", bean_stalks.varValue)
    print("Chives: ", chives.varValue)
else:
    print("The model is infeasible")
```