## Step 1: Define the symbolic representation of the variables
The variables are defined as follows: 
- $x_0$ represents 'dish soap bottles'
- $x_1$ represents 'paper towel rolls'
- $x_2$ represents 'candles'
- $x_3$ represents 'diapers'

## Step 2: Convert the objective function into symbolic notation
The objective function to minimize is $1.01x_0 + 3.64x_1 + 1.72x_2 + 1.49x_3$.

## Step 3: List all constraints in symbolic notation
Constraints:
1. $4x_0 + 7x_1 + 9x_2 + 12x_3 \leq 288$
2. $11x_0 + 15x_1 + 3x_2 + 7x_3 \leq 139$
3. $10x_0 + 17x_1 + 14x_2 + 12x_3 \leq 262$
4. $9x_2 + 12x_3 \geq 47$
5. $7x_1 + 9x_2 \geq 30$
6. $7x_1 + 12x_3 \geq 71$
7. $4x_0 + 7x_1 + 9x_2 + 12x_3 \geq 71$
8. $11x_0 + 3x_2 \geq 32$
9. $3x_2 + 7x_3 \geq 19$
10. $15x_1 + 3x_2 \geq 18$
11. $11x_0 + 15x_1 \geq 30$
12. $15x_1 + 7x_3 \geq 21$
13. $11x_0 + 3x_2 + 7x_3 \geq 26$
14. $11x_0 + 15x_1 + 3x_2 \geq 26$
15. $11x_0 + 3x_2 + 7x_3 \geq 24$
16. $11x_0 + 15x_1 + 3x_2 \geq 24$
17. $11x_0 + 15x_1 + 3x_2 + 7x_3 \geq 24$
18. $10x_0 + 14x_2 \geq 64$
19. $10x_0 + 12x_3 \geq 52$
20. $10x_0 + 17x_1 + 14x_2 \geq 61$
21. $10x_0 + 17x_1 + 12x_3 \geq 61$
22. $17x_1 + 14x_2 + 12x_3 \geq 61$
23. $10x_0 + 17x_1 + 14x_2 \geq 37$
24. $10x_0 + 17x_1 + 12x_3 \geq 37$
25. $17x_1 + 14x_2 + 12x_3 \geq 37$
26. $10x_0 + 17x_1 + 14x_2 \geq 55$
27. $10x_0 + 17x_1 + 12x_3 \geq 55$
28. $17x_1 + 14x_2 + 12x_3 \geq 55$
29. $10x_0 + 17x_1 + 14x_2 + 12x_3 \geq 55$
30. $-8x_1 + 5x_3 \geq 0$
31. $-x_0 + 3x_3 \geq 0$
32. $4x_0 + 12x_3 \leq 87$
33. $9x_2 + 12x_3 \leq 103$
34. $4x_0 + 9x_2 \leq 154$
35. $7x_1 + 12x_3 \leq 210$
36. $4x_0 + 7x_1 + 9x_2 \leq 249$
37. $15x_1 + 3x_2 \leq 119$
38. $15x_1 + 3x_2 + 7x_3 \leq 127$
39. $11x_0 + 15x_1 + 7x_3 \leq 45$
40. $11x_0 + 15x_1 + 3x_2 \leq 132$
41. $14x_2 + 12x_3 \leq 193$
42. $17x_1 + 12x_3 \leq 121$
43. $10x_0 + 17x_1 \leq 242$
44. $17x_1 + 14x_2 \leq 173$

## 4: Create Gurobi Model and Variables
We will now create a Gurobi model and define the variables.

```python
import gurobi

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

# Define variables
x0 = model.addVar(name='dish_soap_bottles', vtype=gurobi.GRB.INTEGER)
x1 = model.addVar(name='paper_towel_rolls', vtype=gurobi.GRB.INTEGER)
x2 = model.addVar(name='candles', vtype=gurobi.GRB.INTEGER)
x3 = model.addVar(name='diapers', vtype=gurobi.GRB.INTEGER)

# Objective function
model.setObjective(1.01 * x0 + 3.64 * x1 + 1.72 * x2 + 1.49 * x3, gurobi.GRB.MINIMIZE)

# Constraints
# Storage space
model.addConstr(4 * x0 + 7 * x1 + 9 * x2 + 12 * x3 <= 288)
model.addConstr(9 * x2 + 12 * x3 >= 47)
model.addConstr(7 * x1 + 9 * x2 >= 30)
model.addConstr(7 * x1 + 12 * x3 >= 71)
model.addConstr(4 * x0 + 7 * x1 + 9 * x2 + 12 * x3 >= 71)

# Usefulness rating
model.addConstr(11 * x0 + 3 * x2 >= 32)
model.addConstr(3 * x2 + 7 * x3 >= 19)
model.addConstr(15 * x1 + 3 * x2 >= 18)
model.addConstr(11 * x0 + 15 * x1 >= 30)
model.addConstr(15 * x1 + 7 * x3 >= 21)
model.addConstr(11 * x0 + 3 * x2 + 7 * x3 >= 26)
model.addConstr(11 * x0 + 15 * x1 + 3 * x2 >= 26)
model.addConstr(11 * x0 + 3 * x2 + 7 * x3 >= 24)
model.addConstr(11 * x0 + 15 * x1 + 3 * x2 >= 24)
model.addConstr(11 * x0 + 15 * x1 + 3 * x2 + 7 * x3 >= 24)

# Weight
model.addConstr(10 * x0 + 14 * x2 >= 64)
model.addConstr(10 * x0 + 12 * x3 >= 52)
model.addConstr(10 * x0 + 17 * x1 + 14 * x2 >= 61)
model.addConstr(10 * x0 + 17 * x1 + 12 * x3 >= 61)
model.addConstr(17 * x1 + 14 * x2 + 12 * x3 >= 61)
model.addConstr(10 * x0 + 17 * x1 + 14 * x2 >= 37)
model.addConstr(10 * x0 + 17 * x1 + 12 * x3 >= 37)
model.addConstr(17 * x1 + 14 * x2 + 12 * x3 >= 37)
model.addConstr(10 * x0 + 17 * x1 + 14 * x2 >= 55)
model.addConstr(10 * x0 + 17 * x1 + 12 * x3 >= 55)
model.addConstr(17 * x1 + 14 * x2 + 12 * x3 >= 55)
model.addConstr(10 * x0 + 17 * x1 + 14 * x2 + 12 * x3 >= 55)

# Others
model.addConstr(-8 * x1 + 5 * x3 >= 0)
model.addConstr(-x0 + 3 * x3 >= 0)
model.addConstr(4 * x0 + 12 * x3 <= 87)
model.addConstr(9 * x2 + 12 * x3 <= 103)
model.addConstr(4 * x0 + 9 * x2 <= 154)
model.addConstr(7 * x1 + 12 * x3 <= 210)
model.addConstr(4 * x0 + 7 * x1 + 9 * x2 <= 249)
model.addConstr(15 * x1 + 3 * x2 <= 119)
model.addConstr(15 * x1 + 3 * x2 + 7 * x3 <= 127)
model.addConstr(11 * x0 + 15 * x1 + 7 * x3 <= 45)
model.addConstr(11 * x0 + 15 * x1 + 3 * x2 <= 132)
model.addConstr(14 * x2 + 12 * x3 <= 193)
model.addConstr(17 * x1 + 12 * x3 <= 121)
model.addConstr(10 * x0 + 17 * x1 <= 242)
model.addConstr(17 * x1 + 14 * x2 <= 173)

# Solve the model
model.optimize()

# Print the solution
if model.status == gurobi.GRB.OPTIMAL:
    print("Objective: ", model.objVal)
    print("Dish soap bottles: ", x0.varValue)
    print("Paper towel rolls: ", x1.varValue)
    print("Candles: ", x2.varValue)
    print("Diapers: ", x3.varValue)
else:
    print("No solution found")

```

### Symbolic Representation

```json
{
    'sym_variables': [
        ['x0', 'dish soap bottles'],
        ['x1', 'paper towel rolls'],
        ['x2', 'candles'],
        ['x3', 'diapers']
    ],
    'objective_function': '1.01x0 + 3.64x1 + 1.72x2 + 1.49x3',
    'constraints': [
        '4x0 + 7x1 + 9x2 + 12x3 <= 288',
        '11x0 + 15x1 + 3x2 + 7x3 <= 139',
        '10x0 + 17x1 + 14x2 + 12x3 <= 262',
        '9x2 + 12x3 >= 47',
        '7x1 + 9x2 >= 30',
        '7x1 + 12x3 >= 71',
        '4x0 + 7x1 + 9x2 + 12x3 >= 71',
        '11x0 + 3x2 >= 32',
        '3x2 + 7x3 >= 19',
        '15x1 + 3x2 >= 18',
        '11x0 + 15x1 >= 30',
        '15x1 + 7x3 >= 21',
        '11x0 + 3x2 + 7x3 >= 26',
        '11x0 + 15x1 + 3x2 >= 26',
        '11x0 + 3x2 + 7x3 >= 24',
        '11x0 + 15x1 + 3x2 >= 24',
        '11x0 + 15x1 + 3x2 + 7x3 >= 24',
        '10x0 + 14x2 >= 64',
        '10x0 + 12x3 >= 52',
        '10x0 + 17x1 + 14x2 >= 61',
        '10x0 + 17x1 + 12x3 >= 61',
        '17x1 + 14x2 + 12x3 >= 61',
        '10x0 + 17x1 + 14x2 >= 37',
        '10x0 + 17x1 + 12x3 >= 37',
        '17x1 + 14x2 + 12x3 >= 37',
        '10x0 + 17x1 + 14x2 >= 55',
        '10x0 + 17x1 + 12x3 >= 55',
        '17x1 + 14x2 + 12x3 >= 55',
        '10x0 + 17x1 + 14x2 + 12x3 >= 55',
        '-8x1 + 5x3 >= 0',
        '-x0 + 3x3 >= 0',
        '4x0 + 12x3 <= 87',
        '9x2 + 12x3 <= 103',
        '4x0 + 9x2 <= 154',
        '7x1 + 12x3 <= 210',
        '4x0 + 7x1 + 9x2 <= 249',
        '15x1 + 3x2 <= 119',
        '15x1 + 3x2 + 7x3 <= 127',
        '11x0 + 15x1 + 7x3 <= 45',
        '11x0 + 15x1 + 3x2 <= 132',
        '14x2 + 12x3 <= 193',
        '17x1 + 12x3 <= 121',
        '10x0 + 17x1 <= 242',
        '17x1 + 14x2 <= 173'
    ]
}
```