```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": "7.6 * x0 + 3.61 * x1 + 1.44 * x2 + 1.75 * x3 + 6.75 * x4",
  "constraints": [
    "18 * x2 + 15 * x3 >= 14",
    "17 * x1 + 6 * x2 >= 25",
    "15 * x3 + 9 * x4 >= 14",
    "6 * x2 + 9 * x4 >= 25",
    "18 * x0 + 9 * x4 >= 11",
    "18 * x0 + 6 * x2 >= 22",
    "18 * x0 + 15 * x3 >= 21",
    "18 * x0 + 17 * x1 + 6 * x2 + 15 * x3 + 9 * x4 >= 21",
    "12 * x1 + 9 * x4 >= 36",
    "12 * x1 + 9 * x2 >= 36",
    "5 * x3 + 9 * x4 >= 24",
    "4 * x0 + 9 * x2 >= 23",
    "9 * x2 + 9 * x4 >= 15",
    "9 * x2 + 5 * x3 >= 33",
    "4 * x0 + 9 * x4 >= 30",
    "4 * x0 + 5 * x3 >= 31",
    "4 * x0 + 12 * x1 + 9 * x2 >= 32",
    "4 * x0 + 12 * x1 + 9 * x2 + 5 * x3 + 9 * x4 >= 32",
    "-7 * x0 + 6 * x2 >= 0",
    "2 * x1 - 3 * x2 >= 0",
    "18 * x0 + 15 * x3 <= 92",
    "6 * x2 + 9 * x4 <= 115",
    "17 * x1 + 6 * x2 <= 33",
    "18 * x0 + 6 * x2 <= 87",
    "15 * x3 + 9 * x4 <= 128",
    "18 * x0 + 17 * x1 <= 113",
    "17 * x1 + 15 * x3 + 9 * x4 <= 116",
    "18 * x0 + 15 * x3 + 9 * x4 <= 132",
    "18 * x0 + 17 * x1 + 15 * x3 <= 89",
    "18 * x0 + 6 * x2 + 9 * x4 <= 51",
    "17 * x1 + 6 * x2 + 15 * x3 <= 123",
    "18 * x0 + 17 * x1 + 9 * x4 <= 36",
    "18 * x0 + 6 * x2 + 15 * x3 <= 116",
    "9 * x2 + 9 * x4 <= 40",
    "12 * x1 + 9 * x2 <= 179",
    "4 * x0 + 9 * x4 <= 164",
    "4 * x0 + 9 * x2 + 9 * x4 <= 84",
    "x0 >= 0",
    "x1 >= 0",
    "x2 >= 0",
    "x3 >= 0",
    "x4 >= 0"
  ]
}
```

```python
import gurobipy as gp

# Create a new model
m = gp.Model("vitamin_optimization")

# Create variables
vitamin_c = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="vitamin_c")
vitamin_e = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="vitamin_e")
vitamin_b12 = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="vitamin_b12")
carbohydrates = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="carbohydrates")
vitamin_b6 = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="vitamin_b6")


# Set objective function
m.setObjective(7.6 * vitamin_c + 3.61 * vitamin_e + 1.44 * vitamin_b12 + 1.75 * carbohydrates + 6.75 * vitamin_b6, gp.GRB.MINIMIZE)

# Add constraints
m.addConstr(18 * vitamin_b12 + 15 * carbohydrates >= 14)
m.addConstr(17 * vitamin_e + 6 * vitamin_b12 >= 25)
m.addConstr(15 * carbohydrates + 9 * vitamin_b6 >= 14)
m.addConstr(6 * vitamin_b12 + 9 * vitamin_b6 >= 25)
m.addConstr(18 * vitamin_c + 9 * vitamin_b6 >= 11)
m.addConstr(18 * vitamin_c + 6 * vitamin_b12 >= 22)
m.addConstr(18 * vitamin_c + 15 * carbohydrates >= 21)
m.addConstr(18 * vitamin_c + 17 * vitamin_e + 6 * vitamin_b12 + 15 * carbohydrates + 9 * vitamin_b6 >= 21)
m.addConstr(12 * vitamin_e + 9 * vitamin_b6 >= 36)
m.addConstr(12 * vitamin_e + 9 * vitamin_b12 >= 36)
m.addConstr(5 * carbohydrates + 9 * vitamin_b6 >= 24)
m.addConstr(4 * vitamin_c + 9 * vitamin_b12 >= 23)
m.addConstr(9 * vitamin_b12 + 9 * vitamin_b6 >= 15)
m.addConstr(9 * vitamin_b12 + 5 * carbohydrates >= 33)
m.addConstr(4 * vitamin_c + 9 * vitamin_b6 >= 30)
m.addConstr(4 * vitamin_c + 5 * carbohydrates >= 31)
m.addConstr(4 * vitamin_c + 12 * vitamin_e + 9 * vitamin_b12 >= 32)
m.addConstr(4 * vitamin_c + 12 * vitamin_e + 9 * vitamin_b12 + 5 * carbohydrates + 9 * vitamin_b6 >= 32)
m.addConstr(-7 * vitamin_c + 6 * vitamin_b12 >= 0)
m.addConstr(2 * vitamin_e - 3 * vitamin_b12 >= 0)
m.addConstr(18 * vitamin_c + 15 * carbohydrates <= 92)
m.addConstr(6 * vitamin_b12 + 9 * vitamin_b6 <= 115)
m.addConstr(17 * vitamin_e + 6 * vitamin_b12 <= 33)
m.addConstr(18 * vitamin_c + 6 * vitamin_b12 <= 87)
m.addConstr(15 * carbohydrates + 9 * vitamin_b6 <= 128)
m.addConstr(18 * vitamin_c + 17 * vitamin_e <= 113)
m.addConstr(17 * vitamin_e + 15 * carbohydrates + 9 * vitamin_b6 <= 116)
m.addConstr(18 * vitamin_c + 15 * carbohydrates + 9 * vitamin_b6 <= 132)
m.addConstr(18 * vitamin_c + 17 * vitamin_e + 15 * carbohydrates <= 89)
m.addConstr(18 * vitamin_c + 6 * vitamin_b12 + 9 * vitamin_b6 <= 51)
m.addConstr(17 * vitamin_e + 6 * vitamin_b12 + 15 * carbohydrates <= 123)
m.addConstr(18 * vitamin_c + 17 * vitamin_e + 9 * vitamin_b6 <= 36)
m.addConstr(18 * vitamin_c + 6 * vitamin_b12 + 15 * carbohydrates <= 116)
m.addConstr(9 * vitamin_b12 + 9 * vitamin_b6 <= 40)
m.addConstr(12 * vitamin_e + 9 * vitamin_b12 <= 179)
m.addConstr(4 * vitamin_c + 9 * vitamin_b6 <= 164)
m.addConstr(4 * vitamin_c + 9 * vitamin_b12 + 9 * vitamin_b6 <= 84)


# Optimize model
m.optimize()

# Print results
if m.status == gp.GRB.OPTIMAL:
    print('Obj: %g' % m.objVal)
    for v in m.getVars():
        print('%s %g' % (v.varName, v.x))
elif m.status == gp.GRB.INFEASIBLE:
    print("The model is infeasible.")
else:
    print("Optimization ended with status:", m.status)

```