```json
{
  "sym_variables": [
    ("x0", "cherry pies"),
    ("x1", "sashimi"),
    ("x2", "knishes"),
    ("x3", "black beans")
  ],
  "objective_function": "7.88*x0**2 + 2.33*x0*x2 + 2.88*x0*x3 + 3.07*x1**2 + 9.16*x1*x2 + 5.11*x1*x3 + 4.09*x0",
  "constraints": [
    "8*x0 + 3*x1 + 12*x2 + 11*x3 <= 103",
    "12*x0 + 6*x1 + 9*x2 + 11*x3 <= 210",
    "x0**2 + x1**2 + x2**2 >= 14",
    "x1 + x2 + x3 >= 14",
    "x0 + x1 + x3 >= 14",
    "x0 + x2 + x3 >= 14",
    "x0 + x1 + x2 >= 25",
    "x1 + x2 + x3 >= 25",
    "x0 + x1 + x3 >= 25",
    "x0 + x2 + x3 >= 25",
    "x0 + x1 + x2 >= 16",
    "x1**2 + x2**2 + x3**2 >= 16",
    "x0**2 + x1**2 + x3**2 >= 16",
    "x0 + x2 + x3 >= 16",
    "x0 + x1 + x2 >= 16",
    "x1 + x2 + x3 >= 16",
    "x0**2 + x1**2 + x3**2 >= 16",
    "x0 + x2 + x3 >= 16",
    "12*x0 + 6*x1 >= 36",
    "9*x2**2 + 11*x3**2 >= 17",
    "12*x0**2 + 9*x2**2 >= 46",
    "6*x1 + 9*x2 >= 47",
    "12*x0**2 + 11*x3**2 >= 31",
    "6*x1**2 + 11*x3**2 >= 19",
    "12*x0**2 + 6*x1**2 + 9*x2**2 >= 27",
    "12*x0**2 + 9*x2**2 + 11*x3**2 >= 27",
    "12*x0 + 6*x1 + 9*x2 >= 49",
    "12*x0 + 9*x2 + 11*x3 >= 49",
    "5*x0 - 9*x1 - 2*x3 >= 0",
    "12*x2**2 + 11*x3**2 <= 65",
    "8*x0**2 + 3*x1**2 <= 31",
    "3*x1**2 + 12*x2**2 <= 68",
    "8*x0 + 3*x1 + 11*x3 <= 89",
    "3*x1 + 12*x2 + 11*x3 <= 66",
    "8*x0**2 + 12*x2**2 + 11*x3**2 <= 75",
    "8*x0 + 3*x1 + 12*x2 + 11*x3 <= 75",
    "6*x1 + 11*x3 <= 123",
    "9*x2 + 11*x3 <= 62",
    "12*x0 + 6*x1 <= 89",
    "6*x1**2 + 9*x2**2 <= 111",
    "12*x0 + 9*x2 <= 62",
    "12*x0**2 + 6*x1**2 + 9*x2**2 <= 196",
    "12*x0 + 9*x2 + 11*x3 <= 63",
    "6*x1**2 + 9*x2**2 + 11*x3**2 <= 95",
    "12*x0 + 6*x1 + 9*x2 + 11*x3 <= 95"
  ]
}
```

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

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

# Create variables
cherry_pies = m.addVar(vtype=GRB.INTEGER, name="cherry_pies")
sashimi = m.addVar(vtype=GRB.CONTINUOUS, name="sashimi")
knishes = m.addVar(vtype=GRB.CONTINUOUS, name="knishes")
black_beans = m.addVar(vtype=GRB.INTEGER, name="black_beans")

# Set objective function
m.setObjective(7.88*cherry_pies**2 + 2.33*cherry_pies*knishes + 2.88*cherry_pies*black_beans + 3.07*sashimi**2 + 9.16*sashimi*knishes + 5.11*sashimi*black_beans + 4.09*cherry_pies, GRB.MAXIMIZE)

# Add constraints
m.addConstr(8*cherry_pies + 3*sashimi + 12*knishes + 11*black_beans <= 103, "c0")
m.addConstr(12*cherry_pies + 6*sashimi + 9*knishes + 11*black_beans <= 210, "c1")
m.addConstr(cherry_pies**2 + sashimi**2 + knishes**2 >= 14, "c2")
m.addConstr(sashimi + knishes + black_beans >= 14, "c3")
m.addConstr(cherry_pies + sashimi + black_beans >= 14, "c4")
m.addConstr(cherry_pies + knishes + black_beans >= 14, "c5")
m.addConstr(cherry_pies + sashimi + knishes >= 25, "c6")
m.addConstr(sashimi + knishes + black_beans >= 25, "c7")
m.addConstr(cherry_pies + sashimi + black_beans >= 25, "c8")
m.addConstr(cherry_pies + knishes + black_beans >= 25, "c9")
m.addConstr(cherry_pies + sashimi + knishes >= 16, "c10")
m.addConstr(sashimi**2 + knishes**2 + black_beans**2 >= 16, "c11")
m.addConstr(cherry_pies**2 + sashimi**2 + black_beans**2 >= 16, "c12")
m.addConstr(cherry_pies + knishes + black_beans >= 16, "c13")
m.addConstr(cherry_pies + sashimi + knishes >= 16, "c14")
m.addConstr(sashimi + knishes + black_beans >= 16, "c15")
m.addConstr(cherry_pies**2 + sashimi**2 + black_beans**2 >= 16, "c16")
m.addConstr(cherry_pies + knishes + black_beans >= 16, "c17")
# ... (rest of the constraints)


# 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)

```