## Step 1: Define the symbolic representation of the variables
The variables are defined as follows: 
- $x_0$ represents milligrams of vitamin C
- $x_1$ represents milligrams of vitamin E
- $x_2$ represents milligrams of vitamin B12
- $x_3$ represents grams of carbohydrates
- $x_4$ represents milligrams of vitamin B6

## Step 2: Define the objective function in symbolic notation
The objective function to minimize is $7.6x_0 + 3.61x_1 + 1.44x_2 + 1.75x_3 + 6.75x_4$.

## Step 3: List all the constraints in symbolic notation
Constraints:
1. $18x_0 \leq 134$
2. $4x_0 \leq 186$
3. $17x_1 \leq 134$
4. $12x_1 \leq 186$
5. $6x_2 \leq 134$
6. $9x_2 \leq 186$
7. $15x_3 \leq 134$
8. $5x_3 \leq 186$
9. $9x_4 \leq 134$
10. $9x_4 \leq 186$
11. $6x_2 + 15x_3 \geq 14$
12. $17x_1 + 6x_2 \geq 25$
13. $15x_3 + 9x_4 \geq 14$
14. $6x_2 + 9x_4 \geq 25$
15. $18x_0 + 9x_4 \geq 11$
16. $18x_0 + 6x_2 \geq 22$
17. $18x_0 + 15x_3 \geq 21$
18. $18x_0 + 17x_1 + 6x_2 + 15x_3 + 9x_4 \geq 21$
19. $12x_1 + 9x_4 \geq 36$
20. $12x_1 + 9x_2 \geq 36$
21. $5x_3 + 9x_4 \geq 24$
22. $4x_0 + 9x_2 \geq 23$
23. $9x_2 + 9x_4 \geq 15$
24. $9x_2 + 5x_3 \geq 33$
25. $4x_0 + 9x_4 \geq 30$
26. $4x_0 + 5x_3 \geq 31$
27. $4x_0 + 12x_1 + 9x_2 \geq 32$
28. $4x_0 + 12x_1 + 9x_2 + 5x_3 + 9x_4 \geq 32$
29. $-7x_0 + 6x_2 \geq 0$
30. $2x_1 - 3x_2 \geq 0$
31. $18x_0 + 15x_3 \leq 92$
32. $6x_2 + 9x_4 \leq 115$
33. $17x_1 + 6x_2 \leq 33$
34. $18x_0 + 6x_2 \leq 87$
35. $15x_3 + 9x_4 \leq 128$
36. $18x_0 + 17x_1 \leq 113$
37. $17x_1 + 15x_3 + 9x_4 \leq 116$
38. $18x_0 + 15x_3 + 9x_4 \leq 132$
39. $18x_0 + 17x_1 + 15x_3 \leq 89$
40. $18x_0 + 6x_2 + 9x_4 \leq 51$
41. $17x_1 + 6x_2 + 15x_3 \leq 123$
42. $18x_0 + 17x_1 + 9x_4 \leq 36$
43. $18x_0 + 6x_2 + 15x_3 \leq 116$
44. $9x_2 + 9x_4 \leq 40$
45. $12x_1 + 9x_2 \leq 179$
46. $4x_0 + 9x_4 \leq 164$
47. $4x_0 + 9x_2 + 9x_4 \leq 84$

## 4: Implement the optimization problem using Gurobi

```python
import gurobi

# Define the model
model = gurobi.Model()

# Define the variables
x0 = model.addVar(lb=0, name="x0")  # milligrams of vitamin C
x1 = model.addVar(lb=0, name="x1")  # milligrams of vitamin E
x2 = model.addVar(lb=0, name="x2")  # milligrams of vitamin B12
x3 = model.addVar(lb=0, name="x3")  # grams of carbohydrates
x4 = model.addVar(lb=0, name="x4")  # milligrams of vitamin B6

# Define the objective function
model.setObjective(7.6 * x0 + 3.61 * x1 + 1.44 * x2 + 1.75 * x3 + 6.75 * x4, gurobi.GRB.MINIMIZE)

# Add constraints
model.addConstr(18 * x0 <= 134)
model.addConstr(4 * x0 <= 186)
model.addConstr(17 * x1 <= 134)
model.addConstr(12 * x1 <= 186)
model.addConstr(6 * x2 <= 134)
model.addConstr(9 * x2 <= 186)
model.addConstr(15 * x3 <= 134)
model.addConstr(5 * x3 <= 186)
model.addConstr(9 * x4 <= 134)
model.addConstr(9 * x4 <= 186)
model.addConstr(6 * x2 + 15 * x3 >= 14)
model.addConstr(17 * x1 + 6 * x2 >= 25)
model.addConstr(15 * x3 + 9 * x4 >= 14)
model.addConstr(6 * x2 + 9 * x4 >= 25)
model.addConstr(18 * x0 + 9 * x4 >= 11)
model.addConstr(18 * x0 + 6 * x2 >= 22)
model.addConstr(18 * x0 + 15 * x3 >= 21)
model.addConstr(18 * x0 + 17 * x1 + 6 * x2 + 15 * x3 + 9 * x4 >= 21)
model.addConstr(12 * x1 + 9 * x4 >= 36)
model.addConstr(12 * x1 + 9 * x2 >= 36)
model.addConstr(5 * x3 + 9 * x4 >= 24)
model.addConstr(4 * x0 + 9 * x2 >= 23)
model.addConstr(9 * x2 + 9 * x4 >= 15)
model.addConstr(9 * x2 + 5 * x3 >= 33)
model.addConstr(4 * x0 + 9 * x4 >= 30)
model.addConstr(4 * x0 + 5 * x3 >= 31)
model.addConstr(4 * x0 + 12 * x1 + 9 * x2 >= 32)
model.addConstr(4 * x0 + 12 * x1 + 9 * x2 + 5 * x3 + 9 * x4 >= 32)
model.addConstr(-7 * x0 + 6 * x2 >= 0)
model.addConstr(2 * x1 - 3 * x2 >= 0)
model.addConstr(18 * x0 + 15 * x3 <= 92)
model.addConstr(6 * x2 + 9 * x4 <= 115)
model.addConstr(17 * x1 + 6 * x2 <= 33)
model.addConstr(18 * x0 + 6 * x2 <= 87)
model.addConstr(15 * x3 + 9 * x4 <= 128)
model.addConstr(18 * x0 + 17 * x1 <= 113)
model.addConstr(17 * x1 + 15 * x3 + 9 * x4 <= 116)
model.addConstr(18 * x0 + 15 * x3 + 9 * x4 <= 132)
model.addConstr(18 * x0 + 17 * x1 + 15 * x3 <= 89)
model.addConstr(18 * x0 + 6 * x2 + 9 * x4 <= 51)
model.addConstr(17 * x1 + 6 * x2 + 15 * x3 <= 123)
model.addConstr(18 * x0 + 17 * x1 + 9 * x4 <= 36)
model.addConstr(18 * x0 + 6 * x2 + 15 * x3 <= 116)
model.addConstr(9 * x2 + 9 * x4 <= 40)
model.addConstr(12 * x1 + 9 * x2 <= 179)
model.addConstr(4 * x0 + 9 * x4 <= 164)
model.addConstr(4 * x0 + 9 * x2 + 9 * x4 <= 84)

# Solve the model
model.optimize()

# Print the solution
if model.status == gurobi.GRB.OPTIMAL:
    print("Optimal solution found.")
    print("Milligrams of vitamin C: ", x0.varValue)
    print("Milligrams of vitamin E: ", x1.varValue)
    print("Milligrams of vitamin B12: ", x2.varValue)
    print("Grams of carbohydrates: ", x3.varValue)
    print("Milligrams of vitamin B6: ", x4.varValue)
    print("Objective function value: ", model.objVal)
else:
    print("No optimal solution found.")
```

```json
{
    "sym_variables": [
        ["x0", "milligrams of vitamin C"],
        ["x1", "milligrams of vitamin E"],
        ["x2", "milligrams of vitamin B12"],
        ["x3", "grams of carbohydrates"],
        ["x4", "milligrams of vitamin B6"]
    ],
    "objective_function": "7.6x0 + 3.61x1 + 1.44x2 + 1.75x3 + 6.75x4",
    "constraints": [
        "18x0 <= 134",
        "4x0 <= 186",
        "17x1 <= 134",
        "12x1 <= 186",
        "6x2 <= 134",
        "9x2 <= 186",
        "15x3 <= 134",
        "5x3 <= 186",
        "9x4 <= 134",
        "9x4 <= 186",
        "6x2 + 15x3 >= 14",
        "17x1 + 6x2 >= 25",
        "15x3 + 9x4 >= 14",
        "6x2 + 9x4 >= 25",
        "18x0 + 9x4 >= 11",
        "18x0 + 6x2 >= 22",
        "18x0 + 15x3 >= 21",
        "18x0 + 17x1 + 6x2 + 15x3 + 9x4 >= 21",
        "12x1 + 9x4 >= 36",
        "12x1 + 9x2 >= 36",
        "5x3 + 9x4 >= 24",
        "4x0 + 9x2 >= 23",
        "9x2 + 9x4 >= 15",
        "9x2 + 5x3 >= 33",
        "4x0 + 9x4 >= 30",
        "4x0 + 5x3 >= 31",
        "4x0 + 12x1 + 9x2 >= 32",
        "4x0 + 12x1 + 9x2 + 5x3 + 9x4 >= 32",
        "-7x0 + 6x2 >= 0",
        "2x1 - 3x2 >= 0",
        "18x0 + 15x3 <= 92",
        "6x2 + 9x4 <= 115",
        "17x1 + 6x2 <= 33",
        "18x0 + 6x2 <= 87",
        "15x3 + 9x4 <= 128",
        "18x0 + 17x1 <= 113",
        "17x1 + 15x3 + 9x4 <= 116",
        "18x0 + 15x3 + 9x4 <= 132",
        "18x0 + 17x1 + 15x3 <= 89",
        "18x0 + 6x2 + 9x4 <= 51",
        "17x1 + 6x2 + 15x3 <= 123",
        "18x0 + 17x1 + 9x4 <= 36",
        "18x0 + 6x2 + 15x3 <= 116",
        "9x2 + 9x4 <= 40",
        "12x1 + 9x2 <= 179",
        "4x0 + 9x4 <= 164",
        "4x0 + 9x2 + 9x4 <= 84"
    ]
}
```