```json
{
  "sym_variables": [
    ("x0", "ravioli"),
    ("x1", "black beans"),
    ("x2", "cornichons"),
    ("x3", "apple pies")
  ],
  "objective_function": "6.22 * x0 + 6.35 * x1 + 7.57 * x2 + 5.07 * x3",
  "constraints": [
    "25 * x0 + 12 * x1 >= 57",
    "1 * x2 + 10 * x3 >= 56",
    "12 * x1 + 10 * x3 >= 101",
    "25 * x0 + 12 * x1 + 1 * x2 + 10 * x3 >= 101",
    "8 * x0 + 5 * x3 >= 104",
    "25 * x2 + 5 * x3 >= 82",
    "8 * x0 + 23 * x1 >= 68",
    "23 * x1 + 25 * x2 + 5 * x3 >= 117",
    "8 * x0 + 25 * x2 + 5 * x3 >= 117",
    "23 * x1 + 25 * x2 + 5 * x3 >= 86",
    "8 * x0 + 25 * x2 + 5 * x3 >= 86",
    "8 * x0 + 23 * x1 + 25 * x2 + 5 * x3 >= 86",
    "2 * x0 + 5 * x1 >= 75",
    "19 * x2 + 18 * x3 >= 52",
    "5 * x1 + 19 * x2 >= 69",
    "2 * x0 + 18 * x3 >= 76",
    "2 * x0 + 19 * x2 + 18 * x3 >= 90",
    "2 * x0 + 5 * x1 + 19 * x2 >= 90",
    "5 * x1 + 19 * x2 + 18 * x3 >= 90",
    "2 * x0 + 19 * x2 + 18 * x3 >= 80",
    "2 * x0 + 5 * x1 + 19 * x2 >= 80",
    "5 * x1 + 19 * x2 + 18 * x3 >= 80",
    "2 * x0 + 19 * x2 + 18 * x3 >= 55",
    "2 * x0 + 5 * x1 + 19 * x2 >= 55",
    "5 * x1 + 19 * x2 + 18 * x3 >= 55",
    "2 * x0 + 5 * x1 + 19 * x2 + 18 * x3 >= 55",
    "3 * x0 - 10 * x3 >= 0",
    "-1 * x1 + 8 * x2 >= 0",
    "6 * x0 - 7 * x1 >= 0",
    "12 * x1 + 1 * x2 <= 568",
    "25 * x0 + 12 * x1 + 1 * x2 <= 517",
    "25 * x2 + 5 * x3 <= 126",
    "8 * x0 + 5 * x3 <= 130",
    "8 * x0 + 23 * x1 <= 446",
    "23 * x1 + 5 * x3 <= 261",
    "8 * x0 + 25 * x2 <= 320",
    "19 * x2 + 18 * x3 <= 320",
    "2 * x0 + 18 * x3 <= 91",
    "5 * x1 + 18 * x3 <= 92"
  ]
}
```

```python
import gurobipy as gp

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

# Create variables
ravioli = m.addVar(lb=0, name="ravioli")
black_beans = m.addVar(lb=0, name="black_beans")
cornichons = m.addVar(lb=0, name="cornichons")
apple_pies = m.addVar(lb=0, name="apple_pies")


# Set objective function
m.setObjective(6.22 * ravioli + 6.35 * black_beans + 7.57 * cornichons + 5.07 * apple_pies, gp.GRB.MINIMIZE)

# Add constraints
m.addConstr(25 * ravioli + 12 * black_beans >= 57)
m.addConstr(cornichons + 10 * apple_pies >= 56)
m.addConstr(12 * black_beans + 10 * apple_pies >= 101)
m.addConstr(25 * ravioli + 12 * black_beans + cornichons + 10 * apple_pies >= 101)
m.addConstr(8 * ravioli + 5 * apple_pies >= 104)
m.addConstr(25 * cornichons + 5 * apple_pies >= 82)
m.addConstr(8 * ravioli + 23 * black_beans >= 68)
m.addConstr(23 * black_beans + 25 * cornichons + 5 * apple_pies >= 117)
m.addConstr(8 * ravioli + 25 * cornichons + 5 * apple_pies >= 117)
m.addConstr(23 * black_beans + 25 * cornichons + 5 * apple_pies >= 86)
m.addConstr(8 * ravioli + 25 * cornichons + 5 * apple_pies >= 86)
m.addConstr(8 * ravioli + 23 * black_beans + 25 * cornichons + 5 * apple_pies >= 86)
m.addConstr(2 * ravioli + 5 * black_beans >= 75)
m.addConstr(19 * cornichons + 18 * apple_pies >= 52)
m.addConstr(5 * black_beans + 19 * cornichons >= 69)
m.addConstr(2 * ravioli + 18 * apple_pies >= 76)
m.addConstr(2 * ravioli + 19 * cornichons + 18 * apple_pies >= 90)
m.addConstr(2 * ravioli + 5 * black_beans + 19 * cornichons >= 90)
m.addConstr(5 * black_beans + 19 * cornichons + 18 * apple_pies >= 90)
m.addConstr(2 * ravioli + 19 * cornichons + 18 * apple_pies >= 80)
m.addConstr(2 * ravioli + 5 * black_beans + 19 * cornichons >= 80)
m.addConstr(5 * black_beans + 19 * cornichons + 18 * apple_pies >= 80)
m.addConstr(2 * ravioli + 19 * cornichons + 18 * apple_pies >= 55)
m.addConstr(2 * ravioli + 5 * black_beans + 19 * cornichons >= 55)
m.addConstr(5 * black_beans + 19 * cornichons + 18 * apple_pies >= 55)
m.addConstr(2 * ravioli + 5 * black_beans + 19 * cornichons + 18 * apple_pies >= 55)
m.addConstr(3 * ravioli - 10 * apple_pies >= 0)
m.addConstr(-black_beans + 8 * cornichons >= 0)
m.addConstr(6 * ravioli - 7 * black_beans >= 0)
m.addConstr(12 * black_beans + cornichons <= 568)
m.addConstr(25 * ravioli + 12 * black_beans + cornichons <= 517)
m.addConstr(25 * cornichons + 5 * apple_pies <= 126)
m.addConstr(8 * ravioli + 5 * apple_pies <= 130)
m.addConstr(8 * ravioli + 23 * black_beans <= 446)
m.addConstr(23 * black_beans + 5 * apple_pies <= 261)
m.addConstr(8 * ravioli + 25 * cornichons <= 320)
m.addConstr(19 * cornichons + 18 * apple_pies <= 320)
m.addConstr(2 * ravioli + 18 * apple_pies <= 91)
m.addConstr(5 * black_beans + 18 * apple_pies <= 92)


# 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 problem is infeasible.")
else:
    print("The problem could not be solved to optimality.")

```
