```json
{
  "sym_variables": [
    ("x0", "cherry pies"),
    ("x1", "oranges"),
    ("x2", "knishes"),
    ("x3", "bowls of pasta"),
    ("x4", "fruit salads"),
    ("x5", "bagged salads")
  ],
  "objective_function": "3.67 * x0 + 9.51 * x1 + 1.22 * x2 + 8.27 * x3 + 1.73 * x4 + 7.9 * x5",
  "constraints": [
    "8 * x0 + 2 * x1 + 5 * x2 + 1 * x3 + 2 * x4 + 5 * x5 <= 115",
    "6 * x0 + 1 * x1 + 2 * x2 + 7 * x3 + 11 * x4 + 11 * x5 <= 49",
    "1 * x3 + 5 * x5 >= 16",
    "8 * x0 + 1 * x3 >= 13",
    "2 * x1 + 5 * x2 >= 11",
    "8 * x0 + 5 * x2 >= 10",
    "8 * x0 + 5 * x2 + 1 * x3 >= 10",
    "2 * x1 + 1 * x3 + 5 * x5 >= 10",
    "8 * x0 + 2 * x1 + 1 * x3 >= 10",
    "8 * x0 + 2 * x1 + 5 * x2 >= 10",
    "8 * x0 + 1 * x3 + 5 * x5 >= 10",
    "2 * x1 + 5 * x2 + 2 * x4 >= 10",
    "2 * x1 + 5 * x2 + 5 * x5 >= 10",
    "5 * x2 + 1 * x3 + 2 * x4 >= 10",
    "8 * x0 + 2 * x4 + 5 * x5 >= 10",
    "8 * x0 + 5 * x2 + 2 * x4 >= 10",
    "8 * x0 + 5 * x2 + 1 * x3 >= 9",
    "2 * x1 + 1 * x3 + 5 * x5 >= 9",
    "8 * x0 + 2 * x1 + 1 * x3 >= 9",
    "8 * x0 + 2 * x1 + 5 * x2 >= 9",
    "8 * x0 + 1 * x3 + 5 * x5 >= 9",
    "2 * x1 + 5 * x2 + 2 * x4 >= 9",
    "2 * x1 + 5 * x2 + 5 * x5 >= 9",
    "5 * x2 + 1 * x3 + 2 * x4 >= 9",
    "8 * x0 + 2 * x4 + 5 * x5 >= 9",
    "8 * x0 + 5 * x2 + 2 * x4 >= 9",
    "8 * x0 + 5 * x2 + 1 * x3 >= 12",
    "2 * x1 + 1 * x3 + 5 * x5 >= 12",
    "8 * x0 + 2 * x1 + 1 * x3 >= 12",
    "8 * x0 + 2 * x1 + 5 * x2 >= 12",
    "8 * x0 + 1 * x3 + 5 * x5 >= 12",
    "2 * x1 + 5 * x2 + 2 * x4 >= 12",
    "2 * x1 + 5 * x2 + 5 * x5 >= 12",
    "5 * x2 + 1 * x3 + 2 * x4 >= 12",
    "8 * x0 + 2 * x4 + 5 * x5 >= 12",
    "8 * x0 + 5 * x2 + 2 * x4 >= 12",
    "8 * x0 + 5 * x2 + 1 * x3 >= 10",
    "2 * x1 + 1 * x3 + 5 * x5 >= 10",
    "8 * x0 + 2 * x1 + 1 * x3 >= 10",
    "8 * x0 + 2 * x1 + 5 * x2 >= 10",
    "8 * x0 + 1 * x3 + 5 * x5 >= 10",
    "2 * x1 + 5 * x2 + 2 * x4 >= 10",
    "2 * x1 + 5 * x2 + 5 * x5 >= 10",
    "5 * x2 + 1 * x3 + 2 * x4 >= 10",
    "8 * x0 + 2 * x4 + 5 * x5 >= 10",
    "8 * x0 + 5 * x2 + 2 * x4 >= 10",
    "8 * x0 + 5 * x2 + 1 * x3 >= 17",
    "2 * x1 + 1 * x3 + 5 * x5 >= 17",
    "8 * x0 + 2 * x1 + 1 * x3 >= 17",
    "8 * x0 + 2 * x1 + 5 * x2 >= 17",
    "8 * x0 + 1 * x3 + 5 * x5 >= 17",
    "2 * x1 + 5 * x2 + 2 * x4 >= 17",
    "2 * x1 + 5 * x2 + 5 * x5 >= 17",
    "5 * x2 + 1 * x3 + 2 * x4 >= 17",
    "8 * x0 + 2 * x4 + 5 * x5 >= 17",
    "8 * x0 + 5 * x2 + 2 * x4 >= 17",
    "8 * x0 + 5 * x2 + 1 * x3 >= 11",
    "2 * x1 + 1 * x3 + 5 * x5 >= 11",
    "8 * x0 + 2 * x1 + 1 * x3 >= 11",
    "8 * x0 + 2 * x1 + 5 * x2 >= 11",
    "8 * x0 + 1 * x3 + 5 * x5 >= 11",
    "2 * x1 + 5 * x2 + 2 * x4 >= 11",
    "2 * x1 + 5 * x2 + 5 * x5 >= 11",
    "5 * x2 + 1 * x3 + 2 * x4 >= 11",
    "8 * x0 + 2 * x4 + 5 * x5 >= 11",
    "8 * x0 + 5 * x2 + 2 * x4 >= 11",
    "8 * x0 + 5 * x2 + 1 * x3 >= 12",
    "2 * x1 + 1 * x3 + 5 * x5 >= 12",
    "8 * x0 + 2 * x1 + 1 * x3 >= 12",
    "8 * x0 + 2 * x1 + 5 * x2 >= 12",
    "8 * x0 + 1 * x3 + 5 * x5 >= 12",
    "2 * x1 + 5 * x2 + 2 * x4 >= 12",
    "2 * x1 + 5 * x2 + 5 * x5 >= 12",
    "5 * x2 + 1 * x3 + 2 * x4 >= 12",
    "8 * x0 + 2 * x4 + 5 * x5 >= 12",
    "8 * x0 + 5 * x2 + 2 * x4 >= 12",
    "8 * x0 + 5 * x2 + 1 * x3 >= 13",
    "2 * x1 + 1 * x3 + 5 * x5 >= 13",
    "8 * x0 + 2 * x1 + 1 * x3 >= 13",
    "8 * x0 + 2 * x1 + 5 * x2 >= 13",
    "8 * x0 + 1 * x3 + 5 * x5 >= 13",
    "2 * x1 + 5 * x2 + 2 * x4 >= 13",
    "2 * x1 + 5 * x2 + 5 * x5 >= 13",
    "5 * x2 + 1 * x3 + 2 * x4 >= 13",
    "8 * x0 + 2 * x4 + 5 * x5 >= 13",
    "8 * x0 + 5 * x2 + 2 * x4 >= 13",
    "8 * x0 + 5 * x2 + 1 * x3 >= 9",
    "2 * x1 + 1 * x3 + 5 * x5 >= 9",
    "8 * x0 + 2 * x1 + 1 * x3 >= 9",
    "8 * x0 + 2 * x1 + 5 * x2 >= 9",
    "8 * x0 + 1 * x3 + 5 * x5 >= 9",
    "2 * x1 + 5 * x2 + 2 * x4 >= 9",
    "2 * x1 + 5 * x2 + 5 * x5 >= 9",
    "5 * x2 + 1 * x3 + 2 * x4 >= 9",
    "8 * x0 + 2 * x4 + 5 * x5 >= 9",
    "8 * x0 + 5 * x2 + 2 * x4 >= 9",
    "8 * x0 + 5 * x2 + 1 * x3 >= 13",
    "2 * x1 + 1 * x3 + 5 * x5 >= 13",
    "8 * x0 + 2 * x1 + 1 * x3 >= 13",
    "8 * x0 + 2 * x1 + 5 * x2 >= 13",
    "8 * x0 + 1 * x3 + 5 * x5 >= 13",
    "2 * x1 + 5 * x2 + 2 * x4 >= 13",
    "2 * x1 + 5 * x2 + 5 * x5 >= 13",
    "5 * x2 + 1 * x3 + 2 * x4 >= 13",
    "8 * x0 + 2 * x4 + 5 * x5 >= 13",
    "8 * x0 + 5 * x2 + 2 * x4 >= 13",
    "6 * x0 + 7 * x3 >= 5",
    "6 * x0 + 11 * x5 >= 8",
    "1 * x1 + 11 * x4 >= 6",
    "2 * x2 + 11 * x4 >= 8",
    "11 * x4 + 11 * x5 >= 4",
    "6 * x0 + 11 * x4 + 11 * x5 >= 6",
    "8 * x0 + 2 * x4 <= 38",
    "2 * x4 + 5 * x5 <= 86",
    "1 * x3 + 2 * x4 <= 90",
    "8 * x0 + 5 * x5 <= 68",
    "5 * x2 + 5 * x5 <= 64",
    "5 * x2 + 2 * x4 <= 45",
    "8 * x0 + 1 * x3 <= 65",
    "1 * x3 + 5 * x5 <= 54",
    "2 * x1 + 5 * x2 <= 20",
    "2 * x1 + 1 * x3 <= 58",
    "2 * x1 + 2 * x4 <= 32",
    "2 * x1 + 2 * x4 + 5 * x5 <= 105",
    "8 * x0 + 1 * x3 + 2 * x4 <= 35",
    "2 * x1 + 5 * x2 + 2 * x4 <= 42",
    "8 * x0 + 2 * x1 + 1 * x3 <= 84",
    "8 * x0 + 2 * x1 + 5 * x2 <= 38",
    "8 * x0 + 2 * x1 + 5 * x2 + 1 * x3 + 2 * x4 + 5 * x5 <= 38",
    "2 * x2 + 11 * x5 <= 35",
    "6 * x0 + 1 * x1 <= 26",
    "1 * x1 + 11 * x5 <= 21",
    "7 * x3 + 11 * x4 <= 10",
    "6 * x0 + 2 * x2 <= 35",
    "2 * x2 + 7 * x3 <= 10",
    "2 * x2 + 11 * x4 <= 18",
    "6 * x0 + 7 * x3 <= 38",
    "1 * x1 + 2 * x2 <= 10",
    "1 * x1 + 2 * x2 + 7 * x3 <= 13",
    "6 * x0 + 1 * x1 + 11 * x4 <= 28",
    "6 * x0 + 1 * x1 + 11 * x5 <= 28",
    "6 * x0 + 11 * x4 + 11 * x5 <= 32",
    "6 * x0 + 7 * x3 + 11 * x4 <= 46",
    "2 * x2 + 7 * x3 + 11 * x5 <= 45",
    "6 * x0 + 2 * x2 + 11 * x5 <= 20",
    "6 * x0 + 2 * x2 + 7 * x3 <= 14",
    "1 * x1 + 7 * x3 + 11 * x5 <= 9",
    "6 * x0 + 7 * x3 + 11 * x5 <= 15",
    "6 * x0 + 1 * x1 + 2 * x2 + 7 * x3 + 11 * x4 + 11 * x5 <= 15"
  ]
}
```

```python
import gurobipy as gp

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

# Create variables
cherry_pies = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="cherry_pies")
oranges = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="oranges")
knishes = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="knishes")
bowls_of_pasta = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="bowls_of_pasta")
fruit_salads = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="fruit_salads")
bagged_salads = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="bagged_salads")


# Set objective function
m.setObjective(3.67 * cherry_pies + 9.51 * oranges + 1.22 * knishes + 8.27 * bowls_of_pasta + 1.73 * fruit_salads + 7.9 * bagged_salads, gp.GRB.MAXIMIZE)

# Add constraints
m.addConstr(8 * cherry_pies + 2 * oranges + 5 * knishes + 1 * bowls_of_pasta + 2 * fruit_salads + 5 * bagged_salads <= 115, "r0")
m.addConstr(6 * cherry_pies + 1 * oranges + 2 * knishes + 7 * bowls_of_pasta + 11 * fruit_salads + 11 * bagged_salads <= 49, "r1")

# ... (rest of the constraints from the JSON "constraints" field)
# Example:
m.addConstr(1 * bowls_of_pasta + 5 * bagged_salads >= 16)
# ... (add all other constraints similarly)


# 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(f"Optimization ended with status {m.status}")

```