```json
{
  "sym_variables": [
    ("x0", "hot dogs"),
    ("x1", "ravioli"),
    ("x2", "kiwis"),
    ("x3", "sashimi"),
    ("x4", "fruit salads"),
    ("x5", "chicken drumsticks"),
    ("x6", "protein bars")
  ],
  "objective_function": "8*x0 + 6*x1 + 6*x2 + 8*x3 + 1*x4 + 9*x5 + 4*x6",
  "constraints": [
    "1*x0 + 8*x1 + 2*x2 + 5*x3 + 20*x4 + 12*x5 + 8*x6 <= 373",
    "14*x0 + 12*x1 + 2*x2 + 13*x3 + 20*x4 + 13*x5 + 3*x6 <= 457",
    "5*x3 + 8*x6 >= 23",
    "2*x2 + 5*x3 >= 25",
    "1*x0 + 5*x3 >= 19",
    "5*x3 + 20*x4 >= 40",
    "8*x1 + 5*x3 >= 44",
    "1*x0 + 12*x5 >= 46",
    "8*x1 + 8*x6 >= 43",
    "5*x3 + 12*x5 >= 20",
    "1*x0 + 8*x6 >= 44",
    "20*x4 + 8*x6 >= 50",
    "2*x2 + 8*x6 >= 23",
    "1*x0 + 2*x2 >= 40",
    "1*x0 + 2*x2 + 12*x5 >= 39",
    "8*x1 + 12*x5 + 8*x6 >= 39",
    "2*x2 + 20*x4 + 12*x5 >= 39",
    "1*x0 + 8*x1 + 8*x6 >= 39",
    "5*x3 + 12*x5 + 8*x6 >= 39",
    "1*x0 + 20*x4 + 8*x6 >= 39",
    "8*x1 + 2*x2 + 8*x6 >= 39",
    "1*x0 + 2*x2 + 5*x3 >= 39",
    "1*x0 + 2*x2 + 12*x5 >= 46",
    "8*x1 + 12*x5 + 8*x6 >= 46",
    "2*x2 + 20*x4 + 12*x5 >= 46",
    "1*x0 + 8*x1 + 8*x6 >= 46",
    "5*x3 + 12*x5 + 8*x6 >= 46",
    "1*x0 + 20*x4 + 8*x6 >= 46",
    "8*x1 + 2*x2 + 8*x6 >= 46",
    "1*x0 + 2*x2 + 5*x3 >= 46",
    "1*x0 + 2*x2 + 12*x5 >= 52",
    "8*x1 + 12*x5 + 8*x6 >= 52",
    "2*x2 + 20*x4 + 12*x5 >= 52",
    "1*x0 + 8*x1 + 8*x6 >= 52",
    "5*x3 + 12*x5 + 8*x6 >= 52",
    "1*x0 + 20*x4 + 8*x6 >= 52",
    "8*x1 + 2*x2 + 8*x6 >= 52",
    "1*x0 + 2*x2 + 5*x3 >= 52",
    "1*x0 + 2*x2 + 12*x5 >= 37",
    "8*x1 + 12*x5 + 8*x6 >= 37",
    "2*x2 + 20*x4 + 12*x5 >= 37",
    "1*x0 + 8*x1 + 8*x6 >= 37",
    "5*x3 + 12*x5 + 8*x6 >= 37",
    "1*x0 + 20*x4 + 8*x6 >= 37",
    "8*x1 + 2*x2 + 8*x6 >= 37",
    "1*x0 + 2*x2 + 5*x3 >= 37",
    "1*x0 + 2*x2 + 12*x5 >= 35",
    "8*x1 + 12*x5 + 8*x6 >= 35",
    "2*x2 + 20*x4 + 12*x5 >= 35",
    "1*x0 + 8*x1 + 8*x6 >= 35",
    "5*x3 + 12*x5 + 8*x6 >= 35",
    "1*x0 + 20*x4 + 8*x6 >= 35",
    "8*x1 + 2*x2 + 8*x6 >= 35",
    "1*x0 + 2*x2 + 5*x3 >= 35",
    "1*x0 + 2*x2 + 12*x5 >= 30",
    "8*x1 + 12*x5 + 8*x6 >= 30",
    "2*x2 + 20*x4 + 12*x5 >= 30",
    "1*x0 + 8*x1 + 8*x6 >= 30",
    "5*x3 + 12*x5 + 8*x6 >= 30",
    "1*x0 + 20*x4 + 8*x6 >= 30",
    "8*x1 + 2*x2 + 8*x6 >= 30",
    "1*x0 + 2*x2 + 5*x3 >= 30",
    "1*x0 + 2*x2 + 12*x5 >= 48",
    "8*x1 + 12*x5 + 8*x6 >= 48",
    "2*x2 + 20*x4 + 12*x5 >= 48",
    "1*x0 + 8*x1 + 8*x6 >= 48",
    "5*x3 + 12*x5 + 8*x6 >= 48",
    "1*x0 + 20*x4 + 8*x6 >= 48",
    "8*x1 + 2*x2 + 8*x6 >= 48",
    "1*x0 + 2*x2 + 5*x3 >= 48",
    "1*x0 + 2*x2 + 12*x5 >= 53",
    "8*x1 + 12*x5 + 8*x6 >= 53",
    "2*x2 + 20*x4 + 12*x5 >= 53",
    "1*x0 + 8*x1 + 8*x6 >= 53",
    "5*x3 + 12*x5 + 8*x6 >= 53",
    "1*x0 + 20*x4 + 8*x6 >= 53",
    "8*x1 + 2*x2 + 8*x6 >= 53",
    "1*x0 + 2*x2 + 5*x3 >= 53",
    "1*x0 + 2*x2 <= 126",
    "5*x3 + 8*x6 <= 323",
    "8*x1 + 2*x2 <= 58",
    "1*x0 + 8*x6 <= 120",
    "5*x3 + 20*x4 <= 138",
    "1*x0 + 20*x4 <= 232",
    "8*x1 + 12*x5 <= 328",
    "5*x3 + 12*x5 <= 106",
    "1*x0 + 12*x5 <= 322",
    "8*x1 + 20*x4 + 12*x5 <= 85",
    "8*x1 + 12*x5 + 8*x6 <= 123",
    "1*x0 + 8*x1 + 20*x4 <= 250",
    "1*x0 + 8*x1 + 2*x2 + 5*x3 + 20*x4 + 12*x5 + 8*x6 <= 250",
    "13*x5 + 3*x6 <= 83",
    "20*x4 + 3*x6 <= 175",
    "12*x1 + 3*x6 <= 372",
    "14*x0 + 13*x5 <= 378",
    "20*x4 + 13*x5 <= 161",
    "2*x2 + 20*x4 <= 318",
    "13*x3 + 20*x4 <= 186",
    "13*x3 + 3*x6 <= 356",
    "2*x2 + 3*x6 <= 145",
    "14*x0 + 3*x6 <= 97",
    "14*x0 + 20*x4 <= 201",
    "12*x1 + 13*x5 <= 381",
    "2*x2 + 13*x3 + 13*x5 <= 256",
    "14*x0 + 12*x1 + 20*x4 <= 343",
    "14*x0 + 13*x5 + 3*x6 <= 102",
    "12*x1 + 13*x3 + 3*x6 <= 86",
    "2*x2 + 13*x3 + 3*x6 <= 282",
    "14*x0 + 12*x1 + 2*x2 + 13*x3 + 20*x4 + 13*x5 + 3*x6 <= 282"
  ]
}
```

```python
from gurobipy import Model, GRB

# Create a new model
model = Model("optimization_problem")

# Create variables
hot_dogs = model.addVar(vtype=GRB.INTEGER, name="hot_dogs")
ravioli = model.addVar(vtype=GRB.INTEGER, name="ravioli")
kiwis = model.addVar(vtype=GRB.INTEGER, name="kiwis")
sashimi = model.addVar(vtype=GRB.INTEGER, name="sashimi")
fruit_salads = model.addVar(vtype=GRB.INTEGER, name="fruit_salads")
chicken_drumsticks = model.addVar(vtype=GRB.INTEGER, name="chicken_drumsticks")
protein_bars = model.addVar(vtype=GRB.INTEGER, name="protein_bars")


# Set objective function
model.setObjective(8*hot_dogs + 6*ravioli + 6*kiwis + 8*sashimi + 1*fruit_salads + 9*chicken_drumsticks + 4*protein_bars, GRB.MAXIMIZE)

# Add constraints
model.addConstr(1*hot_dogs + 8*ravioli + 2*kiwis + 5*sashimi + 20*fruit_salads + 12*chicken_drumsticks + 8*protein_bars <= 373, "dollar_cost")
model.addConstr(14*hot_dogs + 12*ravioli + 2*kiwis + 13*sashimi + 20*fruit_salads + 13*chicken_drumsticks + 3*protein_bars <= 457, "calcium")

# ... (rest of the constraints from the JSON "constraints" field)
# Example:
model.addConstr(5*sashimi + 8*protein_bars >= 23, "c1")
model.addConstr(2*kiwis + 5*sashimi >= 25, "c2")
# ... (add all other constraints similarly)


# Optimize model
model.optimize()

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

```