```json
{
  "sym_variables": [
    ("x0", "apples"),
    ("x1", "chicken breasts"),
    ("x2", "slices of pizza"),
    ("x3", "steaks"),
    ("x4", "potatoes"),
    ("x5", "bowls of cereal")
  ],
  "objective_function": "6.67*x0**2 + 5.66*x0*x1 + 1.8*x0*x2 + 8.53*x0*x3 + 9.8*x0*x4 + 4.04*x0*x5 + 7.73*x1**2 + 4.55*x1*x2 + 8.43*x1*x3 + 3.42*x1*x4 + 4.94*x1*x5 + 1.1*x2**2 + 3.81*x2*x3 + 4.57*x2*x4 + 7.57*x2*x5 + 3.87*x3*x4 + 7.99*x3*x5 + 7.51*x4**2 + 2.59*x4*x5 + 6.67*x0 + 8.15*x1 + 6.95*x2 + 9.83*x3 + 3.09*x4 + 3.88*x5",
  "constraints": [
    "19*x0 + 11*x1 + 3*x2 + 17*x3 + 11*x4 + 8*x5 <= 378",
    "3*x2**2 + 8*x5**2 >= 45",
    "19*x0 + 17*x3 >= 63",
    "19*x0 + 8*x5 >= 46",
    "11*x1 + 8*x5 >= 23",
    "11*x1 + 11*x4 >= 48",
    "19*x0**2 + 11*x4**2 >= 43",
    "11*x1 + 3*x2 >= 32",
    "3*x2 + 11*x4 >= 59",
    "11*x4 + 8*x5 >= 40",
    "11*x1**2 + 17*x3**2 >= 32",
    "17*x3**2 + 8*x5**2 >= 28",
    "3*x2 + 17*x3 >= 32",
    "11*x1 + 17*x3 + 8*x5 >= 62",
    "3*x2 + 17*x3 + 11*x4 >= 62",
    "19*x0 + 3*x2 + 11*x4 >= 62",
    "11*x1**2 + 3*x2**2 + 8*x5**2 >= 62",
    "19*x0 + 11*x1 + 11*x4 >= 62",
    "3*x2 + 17*x3 + 8*x5 >= 62",
    "19*x0 + 3*x2 + 8*x5 >= 62",
    "19*x0 + 11*x4 + 8*x5 >= 62",
    "11*x1**2 + 17*x3**2 + 8*x5**2 >= 60",
    "3*x2 + 17*x3 + 11*x4 >= 60",
    "19*x0 + 3*x2 + 11*x4 >= 60",
    "11*x1**2 + 3*x2**2 + 8*x5**2 >= 60",
    "19*x0**2 + 11*x1**2 + 11*x4**2 >= 60",
    "3*x2**2 + 17*x3**2 + 8*x5**2 >= 60",
    "19*x0**2 + 3*x2**2 + 8*x5**2 >= 60",
    "19*x0**2 + 11*x4**2 + 8*x5**2 >= 60",
    "11*x1**2 + 17*x3**2 + 8*x5**2 >= 32",
    "3*x2**2 + 17*x3**2 + 11*x4**2 >= 32",
    "19*x0**2 + 3*x2**2 + 11*x4**2 >= 32",
    "11*x1**2 + 3*x2**2 + 8*x5**2 >= 32",
    "19*x0 + 11*x1 + 11*x4 >= 32",
    "3*x2 + 17*x3 + 8*x5 >= 32",
    "19*x0 + 3*x2 + 8*x5 >= 32",
    "19*x0 + 11*x4 + 8*x5 >= 32",
    "11*x1 + 17*x3 + 8*x5 >= 33",
    "3*x2 + 17*x3 + 11*x4 >= 33",
    "19*x0 + 3*x2 + 11*x4 >= 33",
    "11*x1**2 + 3*x2**2 + 8*x5**2 >= 33",
    "19*x0 + 11*x1 + 11*x4 >= 33",
    "3*x2**2 + 17*x3**2 + 8*x5**2 >= 33",
    "19*x0 + 3*x2 + 8*x5 >= 33",
    "19*x0 + 11*x4 + 8*x5 >= 33",
    "11*x1 + 17*x3 + 8*x5 >= 38",
    "3*x2 + 17*x3 + 11*x4 >= 38",
    "19*x0 + 3*x2 + 11*x4 >= 38",
    "11*x1 + 3*x2 + 8*x5 >= 38",
    "19*x0**2 + 11*x1**2 + 11*x4**2 >= 38",
    "3*x2 + 17*x3 + 8*x5 >= 38",
    "19*x0**2 + 3*x2**2 + 8*x5**2 >= 38",
    "19*x0**2 + 11*x4**2 + 8*x5**2 >= 38",
    "19*x0 + 11*x1 + 3*x2 + 17*x3 + 11*x4 + 8*x5 >= 38",
    "11*x1**2 + 8*x5**2 <= 190",
    "3*x2 + 11*x4 <= 123",
    "19*x0 + 11*x4 <= 314",
    "11*x1 + 3*x2 <= 136",
    "19*x0**2 + 11*x1**2 + 3*x2**2 <= 243",
    "17*x3 + 11*x4 + 8*x5 <= 104",
    "19*x0**2 + 17*x3**2 + 11*x4**2 <= 312",
    "19*x0 + 11*x1 + 17*x3 <= 266",
    "3*x2**2 + 17*x3**2 + 8*x5**2 <= 119",
    "11*x1 + 17*x3 + 8*x5 <= 292",
    "3*x2**2 + 11*x4**2 + 8*x5**2 <= 66",
    "11*x1**2 + 3*x2**2 + 8*x5**2 <= 73",
    "19*x0**2 + 17*x3**2 + 8*x5**2 <= 79",
    "19*x0 + 3*x2 + 17*x3 <= 100",
    "11*x1 + 3*x2 + 11*x4 <= 84",
    "19*x0 + 3*x2 + 11*x4 <= 367",
    "19*x0 + 11*x1 + 11*x4 <= 88",
    "19*x0 + 3*x2 + 8*x5 <= 96"
  ]
}
```

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

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

# Create variables
apples = m.addVar(lb=0, vtype=GRB.CONTINUOUS, name="apples")
chicken_breasts = m.addVar(lb=0, vtype=GRB.CONTINUOUS, name="chicken_breasts")
slices_of_pizza = m.addVar(lb=0, vtype=GRB.CONTINUOUS, name="slices_of_pizza")
steaks = m.addVar(lb=0, vtype=GRB.CONTINUOUS, name="steaks")
potatoes = m.addVar(lb=0, vtype=GRB.CONTINUOUS, name="potatoes")
bowls_of_cereal = m.addVar(lb=0, vtype=GRB.CONTINUOUS, name="bowls_of_cereal")


# Set objective function
obj = 6.67*apples**2 + 5.66*apples*chicken_breasts + 1.8*apples*slices_of_pizza + 8.53*apples*steaks + 9.8*apples*potatoes + 4.04*apples*bowls_of_cereal + 7.73*chicken_breasts**2 + 4.55*chicken_breasts*slices_of_pizza + 8.43*chicken_breasts*steaks + 3.42*chicken_breasts*potatoes + 4.94*chicken_breasts*bowls_of_cereal + 1.1*slices_of_pizza**2 + 3.81*slices_of_pizza*steaks + 4.57*slices_of_pizza*potatoes + 7.57*slices_of_pizza*bowls_of_cereal + 3.87*steaks*potatoes + 7.99*steaks*bowls_of_cereal + 7.51*potatoes**2 + 2.59*potatoes*bowls_of_cereal + 6.67*apples + 8.15*chicken_breasts + 6.95*slices_of_pizza + 9.83*steaks + 3.09*potatoes + 3.88*bowls_of_cereal

m.setObjective(obj, GRB.MINIMIZE)

# Add constraints
m.addConstr(19*apples + 11*chicken_breasts + 3*slices_of_pizza + 17*steaks + 11*potatoes + 8*bowls_of_cereal <= 378, "r0")
m.addConstr(3*slices_of_pizza**2 + 8*bowls_of_cereal**2 >= 45)
m.addConstr(19*apples + 17*steaks >= 63)
# ... (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)

```
