```json
{
  "sym_variables": [
    ("x0", "apple pies"),
    ("x1", "bowls of pasta"),
    ("x2", "hamburgers"),
    ("x3", "chicken thighs"),
    ("x4", "steaks"),
    ("x5", "protein bars")
  ],
  "objective_function": "5.19 * x0 + 9.84 * x1 + 8.7 * x2 + 2.51 * x3 + 2.46 * x4 + 3.47 * x5",
  "constraints": [
    "2 * x0 + 2 * x3 + 11 * x5 >= 93",
    "10 * x2 + 2 * x3 + 11 * x5 >= 93",
    "2 * x3 + 3 * x4 + 11 * x5 >= 93",
    "2 * x0 + 10 * x2 + 11 * x5 >= 93",
    "1 * x1 + 2 * x3 + 11 * x5 >= 93",
    "10 * x2 + 2 * x3 + 3 * x4 >= 93",
    "10 * x2 + 3 * x4 + 11 * x5 >= 93",
    "2 * x0 + 1 * x1 + 10 * x2 >= 93",
    "1 * x1 + 10 * x2 + 11 * x5 >= 93",
    "2 * x0 + 2 * x3 + 11 * x5 >= 100",
    "10 * x2 + 2 * x3 + 11 * x5 >= 100",
    "2 * x3 + 3 * x4 + 11 * x5 >= 100",
    "2 * x0 + 10 * x2 + 11 * x5 >= 100",
    "1 * x1 + 2 * x3 + 11 * x5 >= 100",
    "10 * x2 + 2 * x3 + 3 * x4 >= 100",
    "10 * x2 + 3 * x4 + 11 * x5 >= 100",
    "2 * x0 + 1 * x1 + 10 * x2 >= 100",
    "1 * x1 + 10 * x2 + 11 * x5 >= 100",
    "2 * x0 + 2 * x3 + 11 * x5 >= 51",
    "10 * x2 + 2 * x3 + 11 * x5 >= 51",
    "2 * x3 + 3 * x4 + 11 * x5 >= 51",
    "2 * x0 + 10 * x2 + 11 * x5 >= 51",
    "1 * x1 + 2 * x3 + 11 * x5 >= 51",
    "10 * x2 + 2 * x3 + 3 * x4 >= 51",
    "10 * x2 + 3 * x4 + 11 * x5 >= 51",
    "2 * x0 + 1 * x1 + 10 * x2 >= 51",
    "1 * x1 + 10 * x2 + 11 * x5 >= 51",
    "2 * x0 + 2 * x3 + 11 * x5 >= 81",
    "10 * x2 + 2 * x3 + 11 * x5 >= 81",
    "2 * x3 + 3 * x4 + 11 * x5 >= 81",
    "2 * x0 + 10 * x2 + 11 * x5 >= 81",
    "1 * x1 + 2 * x3 + 11 * x5 >= 81",
    "10 * x2 + 2 * x3 + 3 * x4 >= 81",
    "10 * x2 + 3 * x4 + 11 * x5 >= 81",
    "2 * x0 + 1 * x1 + 10 * x2 >= 81",
    "1 * x1 + 10 * x2 + 11 * x5 >= 81",
    "2 * x0 + 2 * x3 + 11 * x5 >= 88",
    "10 * x2 + 2 * x3 + 11 * x5 >= 88",
    "2 * x3 + 3 * x4 + 11 * x5 >= 88",
    "2 * x0 + 10 * x2 + 11 * x5 >= 88",
    "1 * x1 + 2 * x3 + 11 * x5 >= 88",
    "10 * x2 + 2 * x3 + 3 * x4 >= 88",
    "10 * x2 + 3 * x4 + 11 * x5 >= 88",
    "2 * x0 + 1 * x1 + 10 * x2 >= 88",
    "1 * x1 + 10 * x2 + 11 * x5 >= 88",
    "2 * x0 + 2 * x3 + 11 * x5 >= 85",
    "10 * x2 + 2 * x3 + 11 * x5 >= 85",
    "2 * x3 + 3 * x4 + 11 * x5 >= 85",
    "2 * x0 + 10 * x2 + 11 * x5 >= 85",
    "1 * x1 + 2 * x3 + 11 * x5 >= 85",
    "10 * x2 + 2 * x3 + 3 * x4 >= 85",
    "10 * x2 + 3 * x4 + 11 * x5 >= 85",
    "2 * x0 + 1 * x1 + 10 * x2 >= 85",
    "1 * x1 + 10 * x2 + 11 * x5 >= 85",
    "2 * x0 + 2 * x3 + 11 * x5 >= 69",
    "10 * x2 + 2 * x3 + 11 * x5 >= 69",
    "2 * x3 + 3 * x4 + 11 * x5 >= 69",
    "2 * x0 + 10 * x2 + 11 * x5 >= 69",
    "1 * x1 + 2 * x3 + 11 * x5 >= 69",
    "10 * x2 + 2 * x3 + 3 * x4 >= 69",
    "10 * x2 + 3 * x4 + 11 * x5 >= 69",
    "2 * x0 + 1 * x1 + 10 * x2 >= 69",
    "1 * x1 + 10 * x2 + 11 * x5 >= 69",
    "2 * x0 + 2 * x3 + 11 * x5 >= 76",
    "10 * x2 + 2 * x3 + 11 * x5 >= 76",
    "2 * x3 + 3 * x4 + 11 * x5 >= 76",
    "2 * x0 + 10 * x2 + 11 * x5 >= 76",
    "1 * x1 + 2 * x3 + 11 * x5 >= 76",
    "10 * x2 + 2 * x3 + 3 * x4 >= 76",
    "10 * x2 + 3 * x4 + 11 * x5 >= 76",
    "2 * x0 + 1 * x1 + 10 * x2 >= 76",
    "1 * x1 + 10 * x2 + 11 * x5 >= 76",
    "2 * x0 + 2 * x3 + 11 * x5 >= 68",
    "10 * x2 + 2 * x3 + 11 * x5 >= 68",
    "2 * x3 + 3 * x4 + 11 * x5 >= 68",
    "2 * x0 + 10 * x2 + 11 * x5 >= 68",
    "1 * x1 + 2 * x3 + 11 * x5 >= 68",
    "10 * x2 + 2 * x3 + 3 * x4 >= 68",
    "10 * x2 + 3 * x4 + 11 * x5 >= 68",
    "2 * x0 + 1 * x1 + 10 * x2 >= 68",
    "1 * x1 + 10 * x2 + 11 * x5 >= 68",
    "11 * x1 + 3 * x3 >= 59",
    "13 * x2 + 10 * x4 >= 55",
    "7 * x0 + 13 * x2 >= 57",
    "10 * x4 + 1 * x5 >= 60",
    "11 * x1 + 13 * x2 >= 63",
    "3 * x3 + 1 * x5 >= 24",
    "13 * x2 + 3 * x3 >= 46",
    "7 * x0 + 10 * x4 >= 45",
    "11 * x1 + 10 * x4 + x5 >= 65",
    "7 * x0 + 3 * x3 + 10 * x4 >= 65",
    "11 * x1 + 3 * x3 + x5 >= 65",
    "13 * x2 + 10 * x4 + x5 >= 65",
    "7 * x0 + 13 * x2 + 3 * x3 >= 65",
    "11 * x1 + 3 * x3 + 10 * x4 >= 65",
    "11 * x1 + 13 * x2 + 3 * x3 >= 65",
    "11 * x1 + 10 * x4 + 1 * x5 >= 68",
    "7 * x0 + 3 * x3 + 10 * x4 >= 68",
    "11 * x1 + 3 * x3 + 1 * x5 >= 68",
    "13 * x2 + 10 * x4 + 1 * x5 >= 68",
    "7 * x0 + 13 * x2 + 3 * x3 >= 68",
    "11 * x1 + 3 * x3 + 10 * x4 >= 68",
    "11 * x1 + 13 * x2 + 3 * x3 >= 68",
    "11 * x1 + 10 * x4 + 1 * x5 >= 40",
    "7 * x0 + 3 * x3 + 10 * x4 >= 40",
    "11 * x1 + 3 * x3 + 1 * x5 >= 40",
    "13 * x2 + 10 * x4 + 1 * x5 >= 40",
    "7 * x0 + 13 * x2 + 3 * x3 >= 40",
    "11 * x1 + 3 * x3 + 10 * x4 >= 40",
    "11 * x1 + 13 * x2 + 3 * x3 >= 40",
    "11 * x1 + 10 * x4 + x5 >= 67",
    "7 * x0 + 3 * x3 + 10 * x4 >= 67",
    "11 * x1 + 3 * x3 + x5 >= 67",
    "13 * x2 + 10 * x4 + x5 >= 67",
    "7 * x0 + 13 * x2 + 3 * x3 >= 67",
    "11 * x1 + 3 * x3 + 10 * x4 >= 67",
    "11 * x1 + 13 * x2 + 3 * x3 >= 67",
    "11 * x1 + 10 * x4 + x5 >= 63",
    "7 * x0 + 3 * x3 + 10 * x4 >= 63",
    "11 * x1 + 3 * x3 + x5 >= 63",
    "13 * x2 + 10 * x4 + x5 >= 63",
    "7 * x0 + 13 * x2 + 3 * x3 >= 63",
    "11 * x1 + 3 * x3 + 10 * x4 >= 63",
    "11 * x1 + 13 * x2 + 3 * x3 >= 63",
    "11 * x1 + 10 * x4 + x5 >= 46",
    "7 * x0 + 3 * x3 + 10 * x4 >= 46",
    "11 * x1 + 3 * x3 + x5 >= 46",
    "13 * x2 + 10 * x4 + x5 >= 46",
    "7 * x0 + 13 * x2 + 3 * x3 >= 46",
    "11 * x1 + 3 * x3 + 10 * x4 >= 46",
    "11 * x1 + 13 * x2 + 3 * x3 >= 46",
    "10 * x2 + 11 * x5 <= 550",
    "2 * x3 + 11 * x5 <= 367",
    "x1 + 11 * x5 <= 523",
    "10 * x2 + 2 * x3 <= 594",
    "x1 + 2 * x3 <= 273",
    "10 * x2 + 2 * x3 + 11 * x5 <= 277",
    "2 * x3 + 3 * x4 + 11 * x5 <= 350",
    "x1 + 10 * x2 + 2 * x3 <= 263",
    "2 * x0 + 10 * x2 + 11 * x5 <= 181",
    "2 * x0 + 2 * x3 + 3 * x4 <= 329",
    "2 * x0 + x1 + 2 * x3 <= 366",
    "x1 + 2 * x3 + 3 * x4 <= 161",
    "2 * x0 + x1 + 11 * x5 <= 338",
    "x1 + 3 * x4 + 11 * x5 <= 184",
    "10 * x2 + 3 * x4 + 11 * x5 <= 277",
    "2 * x0 + x1 + 10 * x2 + 2 * x3 + 3 * x4 + 11 * x5 <= 277",
    "11 * x1 + 10 * x4 <= 410",
    "10 * x4 + x5 <= 111",
    "3 * x3 + x5 <= 84",
    "7 * x0 + x5 <= 167",
    "7 * x0 + 11 * x1 <= 128",
    "7 * x0 + 3 * x3 <= 407",
    "11 * x1 + 13 * x2 <= 134",
    "13 * x2 + 10 * x4 <= 223",
    "7 * x0 + 13 * x2 <= 274",
    "13 * x2 + 3 * x3 <= 204",
    "3 * x3 + 10 * x4 <= 80",
    "11 * x1 + 3 * x3 <= 257",
    "7 * x0 + 10 * x4 <= 80",
    "3 * x3 + 10 * x4 + x5 <= 335",
    "7 * x0 + 11 * x1 + 13 * x2 <= 128",
    "7 * x0 + 11 * x1 + 13 * x2 + 3 * x3 + 10 * x4 + x5 <= 128",
    "2 * x0 + x1 + 10 * x2 + 2 * x3 + 3 * x4 + 11 * x5 <= 619",
    "7 * x0 + 11 * x1 + 13 * x2 + 3 * x3 + 10 * x4 + x5 <= 412"
  ]
}
```

```python
import gurobipy as gp

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

# Create variables
apple_pies = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="apple_pies")
bowls_of_pasta = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="bowls_of_pasta")
hamburgers = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="hamburgers")
chicken_thighs = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="chicken_thighs")
steaks = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="steaks")
protein_bars = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="protein_bars")


# Set objective function
m.setObjective(5.19 * apple_pies + 9.84 * bowls_of_pasta + 8.7 * hamburgers + 2.51 * chicken_thighs + 2.46 * steaks + 3.47 * protein_bars, gp.GRB.MAXIMIZE)

# Add constraints
m.addConstr(2 * apple_pies + 2 * chicken_thighs + 11 * protein_bars >= 93)
m.addConstr(10 * hamburgers + 2 * chicken_thighs + 11 * protein_bars >= 93)
m.addConstr(2 * chicken_thighs + 3 * steaks + 11 * protein_bars >= 93)
m.addConstr(2 * apple_pies + 10 * hamburgers + 11 * protein_bars >= 93)
m.addConstr(bowls_of_pasta + 2 * chicken_thighs + 11 * protein_bars >= 93)
m.addConstr(10 * hamburgers + 2 * chicken_thighs + 3 * steaks >= 93)
m.addConstr(10 * hamburgers + 3 * steaks + 11 * protein_bars >= 93)
m.addConstr(2 * apple_pies + bowls_of_pasta + 10 * hamburgers >= 93)
m.addConstr(bowls_of_pasta + 10 * hamburgers + 11 * protein_bars >= 93)
# ... (add all other constraints similarly)

m.addConstr(2 * apple_pies + bowls_of_pasta + 10 * hamburgers + 2 * chicken_thighs + 3 * steaks + 11 * protein_bars <= 619)
m.addConstr(7 * apple_pies + 11 * bowls_of_pasta + 13 * hamburgers + 3 * chicken_thighs + 10 * steaks + protein_bars <= 412)


# 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 %d" % m.status)

```
