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:
- \(x_0\): rubber gloves
- \(x_1\): packs of napkins
- \(x_2\): paper towel rolls
- \(x_3\): cartons of milk
- \(x_4\): bottles of ibuprofen

## Step 2: Formulate the Objective Function
The objective function to maximize is:
\[5.13x_0 + 2.16x_1 + 4.35x_2 + 7.67x_3 + 8.66x_4\]

## Step 3: Define the Constraints
### Sustainability Score Constraints
1. \(5x_0 + 2x_2 \geq 11\)
2. \(5x_0 + 4x_3 \geq 13\)
3. \(5x_0 + 4x_3 \leq 83\)
4. \(7x_1 + 4x_3 \leq 72\)
5. \(7x_1 + 2x_4 \leq 52\)
6. \(5x_0 + 7x_1 \leq 61\)
7. \(7x_1 + 2x_2 \leq 63\)
8. \(5x_0 + 2x_2 \leq 59\)
9. \(4x_3 + 2x_4 \leq 89\)
10. \(5x_0 + 2x_2 + 4x_3 \leq 51\)
11. \(5x_0 + 7x_1 + 4x_3 \leq 33\)
12. \(5x_0 + 2x_2 + 2x_4 \leq 70\)
13. \(5x_0 + 7x_1 + 2x_2 + 4x_3 + 2x_4 \leq 70\)

### Storage Space Constraints
1. \(7x_0 + 4x_1 \leq 39\)
2. \(7x_0 + 2x_2 + 2x_4 \leq 34\)
3. \(4x_1 + 2x_2 + 2x_4 \leq 60\)
4. \(7x_0 + 3x_3 + 2x_4 \leq 73\)
5. \(7x_0 + 2x_2 + 2x_4 \leq 75\)
6. \(7x_0 + 4x_1 + 2x_2 + 3x_3 + 2x_4 \leq 75\)
7. \(7x_0 + 2x_2 \geq 15\)
8. \(2x_2 + 3x_3 \geq 8\)
9. \(7x_0 + 2x_2 + 2x_4 \geq 12\)
10. \(2x_2 + 3x_3 + 2x_4 \geq 12\)
11. \(7x_0 + 2x_2 + 3x_3 \geq 12\)
12. \(7x_0 + 2x_2 + 2x_4 \geq 14\)
13. \(2x_2 + 3x_3 + 2x_4 \geq 14\)
14. \(7x_0 + 2x_2 + 3x_3 \geq 14\)
15. \(7x_0 + 2x_2 + 2x_4 \geq 17\)
16. \(2x_2 + 3x_3 + 2x_4 \geq 17\)
17. \(7x_0 + 2x_2 + 3x_3 \geq 17\)

### Portability Rating Constraints
1. \(2x_1 + x_3 \geq 16\)
2. \(2x_1 + 8x_4 \geq 16\)
3. \(8x_0 + 2x_1 \geq 7\)
4. \(8x_0 + 8x_4 \geq 12\)
5. \(7x_2 + x_3 \geq 5\)
6. \(7x_2 + 8x_4 \geq 6\)
7. \(8x_0 + 7x_2 \geq 12\)
8. \(2x_1 + x_3 \leq 35\)
9. \(8x_0 + x_3 \leq 54\)
10. \(8x_0 + 2x_1 + 7x_2 + x_3 + 8x_4 \leq 54\)

### Value Constraints
1. \(x_0 + 3x_2 \leq 18\)
2. \(3x_2 + x_4 \leq 45\)
3. \(7x_1 + x_4 \leq 69\)
4. \(3x_2 + 5x_3 \leq 58\)
5. \(x_0 + x_4 \leq 66\)
6. \(5x_3 + x_4 \leq 49\)
7. \(7x_1 + 3x_2 + 5x_3 \leq 75\)
8. \(x_0 + 7x_1 + 3x_2 + 5x_3 + x_4 \leq 75\)

### Variable Constraints
1. \(x_0, x_1, x_2, x_3, x_4 \geq 0\)
2. \(x_0, x_1, x_2, x_3, x_4\) are integers

## Step 4: Implement in Gurobi
```python
import gurobi

def optimize_problem():
    model = gurobi.Model()
    
    # Define variables
    x0 = model.addVar(name="rubber_gloves", vtype=gurobi.GRB.INTEGER)
    x1 = model.addVar(name="packs_of_napkins", vtype=gurobi.GRB.INTEGER)
    x2 = model.addVar(name="paper_towel_rolls", vtype=gurobi.GRB.INTEGER)
    x3 = model.addVar(name="cartons_of_milk", vtype=gurobi.GRB.INTEGER)
    x4 = model.addVar(name="bottles_of_ibuprofen", vtype=gurobi.GRB.INTEGER)
    
    # Objective function
    model.setObjective(5.13*x0 + 2.16*x1 + 4.35*x2 + 7.67*x3 + 8.66*x4, gurobi.GRB.MAXIMIZE)
    
    # Constraints
    # Sustainability Score Constraints
    model.addConstr(5*x0 + 2*x2 >= 11)
    model.addConstr(5*x0 + 4*x3 >= 13)
    model.addConstr(5*x0 + 4*x3 <= 83)
    model.addConstr(7*x1 + 4*x3 <= 72)
    model.addConstr(7*x1 + 2*x4 <= 52)
    model.addConstr(5*x0 + 7*x1 <= 61)
    model.addConstr(7*x1 + 2*x2 <= 63)
    model.addConstr(5*x0 + 2*x2 <= 59)
    model.addConstr(4*x3 + 2*x4 <= 89)
    model.addConstr(5*x0 + 2*x2 + 4*x3 <= 51)
    model.addConstr(5*x0 + 7*x1 + 4*x3 <= 33)
    model.addConstr(5*x0 + 2*x2 + 2*x4 <= 70)
    model.addConstr(5*x0 + 7*x1 + 2*x2 + 4*x3 + 2*x4 <= 70)
    
    # Storage Space Constraints
    model.addConstr(7*x0 + 4*x1 <= 39)
    model.addConstr(7*x0 + 2*x2 + 2*x4 <= 34)
    model.addConstr(4*x1 + 2*x2 + 2*x4 <= 60)
    model.addConstr(7*x0 + 3*x3 + 2*x4 <= 73)
    model.addConstr(7*x0 + 2*x2 + 2*x4 <= 75)
    model.addConstr(7*x0 + 4*x1 + 2*x2 + 3*x3 + 2*x4 <= 75)
    model.addConstr(7*x0 + 2*x2 >= 15)
    model.addConstr(2*x2 + 3*x3 >= 8)
    model.addConstr(7*x0 + 2*x2 + 2*x4 >= 12)
    model.addConstr(2*x2 + 3*x3 + 2*x4 >= 12)
    model.addConstr(7*x0 + 2*x2 + 3*x3 >= 12)
    model.addConstr(7*x0 + 2*x2 + 2*x4 >= 14)
    model.addConstr(2*x2 + 3*x3 + 2*x4 >= 14)
    model.addConstr(7*x0 + 2*x2 + 3*x3 >= 14)
    model.addConstr(7*x0 + 2*x2 + 2*x4 >= 17)
    model.addConstr(2*x2 + 3*x3 + 2*x4 >= 17)
    model.addConstr(7*x0 + 2*x2 + 3*x3 >= 17)
    
    # Portability Rating Constraints
    model.addConstr(2*x1 + x3 >= 16)
    model.addConstr(2*x1 + 8*x4 >= 16)
    model.addConstr(8*x0 + 2*x1 >= 7)
    model.addConstr(8*x0 + 8*x4 >= 12)
    model.addConstr(7*x2 + x3 >= 5)
    model.addConstr(7*x2 + 8*x4 >= 6)
    model.addConstr(8*x0 + 7*x2 >= 12)
    model.addConstr(2*x1 + x3 <= 35)
    model.addConstr(8*x0 + x3 <= 54)
    model.addConstr(8*x0 + 2*x1 + 7*x2 + x3 + 8*x4 <= 54)
    
    # Value Constraints
    model.addConstr(x0 + 3*x2 <= 18)
    model.addConstr(3*x2 + x4 <= 45)
    model.addConstr(7*x1 + x4 <= 69)
    model.addConstr(3*x2 + 5*x3 <= 58)
    model.addConstr(x0 + x4 <= 66)
    model.addConstr(5*x3 + x4 <= 49)
    model.addConstr(7*x1 + 3*x2 + 5*x3 <= 75)
    model.addConstr(x0 + 7*x1 + 3*x2 + 5*x3 + x4 <= 75)
    
    # Variable Constraints
    model.addConstr(x0 >= 0)
    model.addConstr(x1 >= 0)
    model.addConstr(x2 >= 0)
    model.addConstr(x3 >= 0)
    model.addConstr(x4 >= 0)
    
    # Solve the model
    model.optimize()
    
    if model.status == gurobi.GRB.OPTIMAL:
        print("Objective: ", model.objVal)
        print("rubber_gloves: ", x0.varValue)
        print("packs_of_napkins: ", x1.varValue)
        print("paper_towel_rolls: ", x2.varValue)
        print("cartons_of_milk: ", x3.varValue)
        print("bottles_of_ibuprofen: ", x4.varValue)
    else:
        print("No optimal solution found.")

optimize_problem()
```