```json
{
  "sym_variables": [
    ("x0", "milligrams of vitamin K"),
    ("x1", "milligrams of iron"),
    ("x2", "milligrams of calcium"),
    ("x3", "milligrams of vitamin B2"),
    ("x4", "milligrams of vitamin B7")
  ],
  "objective_function": "3*x0**2 + 6*x0*x1 + 2*x3**2 + 4*x2 + 6*x4",
  "constraints": [
    "3*x0 + 6*x4 >= 8",
    "6*x1**2 + 6*x3**2 >= 10",
    "5*x0**2 + 6*x1**2 >= 13",
    "4*x2 + 1*x3 >= 6",
    "5*x0 + 3*x4 >= 14",
    "6*x1 + 4*x2 >= 17",
    "1*x3 + 3*x4 >= 20",
    "5*x0 + 1*x3 >= 6",
    "6*x1 + 1*x3 >= 11",
    "5*x0 + 6*x1 + 1*x3 >= 18",
    "6*x1 + 4*x2 + 1*x3 >= 18",
    "5*x0**2 + 6*x1**2 + 4*x2**2 >= 18",
    "6*x1**2 + 4*x2**2 + 3*x4**2 >= 18",
    "6*x1**2 + 1*x3**2 + 3*x4**2 >= 18",
    "5*x0 + 6*x1 + 1*x3 >= 18", 
    "6*x1 + 4*x2 + 1*x3 >= 18",
    "5*x0**2 + 6*x1**2 + 4*x2**2 >= 18",
    "6*x1 + 4*x2 + 3*x4 >= 18",
    "6*x1 + 1*x3 + 3*x4 >= 18",
    "5*x0**2 + 6*x1**2 + 1*x3**2 >= 14",
    "6*x1**2 + 4*x2**2 + 1*x3**2 >= 14",
    "5*x0 + 6*x1 + 4*x2 >= 14",
    "6*x1**2 + 4*x2**2 + 3*x4**2 >= 14",
    "6*x1 + 1*x3 + 3*x4 >= 14",
    "5*x0 + 6*x1 + 1*x3 >= 17",
    "6*x1 + 4*x2 + 1*x3 >= 17",
    "5*x0**2 + 6*x1**2 + 4*x2**2 >= 17",
    "6*x1**2 + 4*x2**2 + 3*x4**2 >= 17",
    "6*x1 + 1*x3 + 3*x4 >= 17",
    "5*x0**2 + 6*x1**2 + 1*x3**2 >= 12",
    "6*x1 + 4*x2 + 1*x3 >= 12",
    "5*x0 + 6*x1 + 4*x2 >= 12",
    "6*x1 + 4*x2 + 3*x4 >= 12",
    "6*x1 + 1*x3 + 3*x4 >= 12",
    "2*x2 - 6*x4 >= 0",
    "3*x0**2 + 5*x2**2 <= 60",
    "6*x1 + 6*x4 <= 61",
    "6*x1 + 6*x3 <= 52",
    "3*x0 + 6*x1 <= 27",
    "6*x3**2 + 6*x4**2 <= 85",
    "5*x2**2 + 6*x3**2 <= 50",
    "6*x1 + 5*x2 <= 46",
    "3*x0**2 + 6*x1**2 + 6*x3**2 <= 49",
    "3*x0 + 5*x2 + 6*x4 <= 38",
    "3*x0 + 6*x1 + 5*x2 <= 33",
    "5*x2 + 6*x3 + 6*x4 <= 78",
    "6*x1**2 + 6*x3**2 + 6*x4**2 <= 63",
    "3*x0 + 6*x3 + 6*x4 <= 26",
    "6*x1**2 + 5*x2**2 + 6*x4**2 <= 47",
    "3*x0 + 6*x1 + 5*x2 + 6*x3 + 6*x4 <= 47",
    "6*x1 + 3*x4 <= 69",
    "5*x0**2 + 1*x3**2 <= 76",
    "5*x0**2 + 6*x1**2 <= 49",
    "4*x2 + 1*x3 <= 53",
    "6*x1 + 4*x2 <= 48",
    "5*x0 + 4*x2 <= 96",
    "6*x1 + 4*x2 + 3*x4 <= 58",
    "5*x0**2 + 1*x3**2 + 3*x4**2 <= 51",
    "6*x1 + 1*x3 + 3*x4 <= 58",
    "5*x0 + 6*x1 + 3*x4 <= 91",
    "5*x0 + 6*x1 + 4*x2 + 1*x3 + 3*x4 <= 91"
  ]
}
```

```python
import gurobipy as gp
from gurobipy import GRB

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

# Create variables
x0 = m.addVar(lb=0, vtype=GRB.CONTINUOUS, name="x0")  # milligrams of vitamin K
x1 = m.addVar(lb=0, vtype=GRB.CONTINUOUS, name="x1")  # milligrams of iron
x2 = m.addVar(lb=0, vtype=GRB.CONTINUOUS, name="x2")  # milligrams of calcium
x3 = m.addVar(lb=0, vtype=GRB.INTEGER, name="x3")  # milligrams of vitamin B2
x4 = m.addVar(lb=0, vtype=GRB.INTEGER, name="x4")  # milligrams of vitamin B7


# Set objective function
m.setObjective(3*x0**2 + 6*x0*x1 + 2*x3**2 + 4*x2 + 6*x4, GRB.MAXIMIZE)

# Add constraints
m.addConstr(3*x0 + 6*x4 >= 8)
m.addConstr(6*x1**2 + 6*x3**2 >= 10)
m.addConstr(5*x0**2 + 6*x1**2 >= 13)
m.addConstr(4*x2 + 1*x3 >= 6)
m.addConstr(5*x0 + 3*x4 >= 14)
m.addConstr(6*x1 + 4*x2 >= 17)
m.addConstr(1*x3 + 3*x4 >= 20)
m.addConstr(5*x0 + 1*x3 >= 6)
m.addConstr(6*x1 + 1*x3 >= 11)


# ... (add all other constraints similarly)


# Optimize model
m.optimize()

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

```