```json
{
  "sym_variables": [
    ("x0", "cantaloupes"),
    ("x1", "oreos"),
    ("x2", "apple pies"),
    ("x3", "blueberry pies"),
    ("x4", "lemons"),
    ("x5", "cherry pies"),
    ("x6", "chicken drumsticks")
  ],
  "objective_function": "7*x0*x1 + 4*x0*x2 + 8*x0*x3 + 8*x2*x3 + 2*x3**2 + 5*x4**2 + 7*x4*x6 + 5*x5**2 + 3*x6**2 + 9*x1 + 1*x3 + 6*x4 + 7*x5 + 2*x6",
  "constraints": [
    "26*x0 + 17*x1 + 17*x2 + 19*x3 + 5*x4 + 11*x5 + 20*x6 <= 421",
    "11*x0 + 23*x1 + 20*x2 + 6*x3 + 21*x4 + 6*x5 + 3*x6 <= 789",
    "19*x3 + 20*x6 >= 32",
    "26*x0**2 + 19*x3**2 >= 36",
    "17*x2 + 20*x6 >= 45",
    "17*x1**2 + 19*x3**2 + 11*x5**2 >= 40",
    "17*x1**2 + 19*x3**2 + 20*x6**2 >= 40",
    "17*x1 + 19*x3 + 11*x5 >= 53",
    "17*x1**2 + 19*x3**2 + 20*x6**2 >= 53",
    "26*x0 + 17*x1 + 17*x2 + 19*x3 + 5*x4 + 11*x5 + 20*x6 >= 53",
    "23*x1 + 6*x5 >= 86",
    "21*x4 + 6*x5 >= 46",
    "23*x1 + 6*x3 >= 98",
    "11*x0 + 6*x5 >= 38",
    "23*x1**2 + 21*x4**2 >= 102",
    "11*x0 + 3*x6 >= 47",
    "23*x1**2 + 3*x6**2 >= 72",
    "6*x5**2 + 3*x6**2 >= 53",
    "11*x0 + 21*x4 >= 95",
    "11*x0 + 6*x3 >= 84",
    "11*x0 + 21*x4 + 3*x6 >= 108",
    "20*x2 + 21*x4 + 6*x5 >= 108",
    "23*x1 + 21*x4 + 3*x6 >= 108",
    "11*x0 + 20*x2 + 6*x3 >= 108",
    "11*x0 + 6*x3 + 21*x4 >= 108",
    "11*x0**2 + 23*x1**2 + 3*x6**2 >= 108",
    "23*x1**2 + 20*x2**2 + 21*x4**2 >= 108",
    "23*x1**2 + 20*x2**2 + 6*x3**2 >= 108",
    "20*x2 + 6*x3 + 3*x6 >= 108",
    "23*x1 + 20*x2 + 3*x6 >= 108",
    "23*x1 + 6*x3 + 21*x4 >= 108",
    "11*x0 + 20*x2 + 21*x4 >= 108",
    "23*x1**2 + 21*x4**2 + 6*x5**2 >= 108",
    "20*x2 + 6*x3 + 6*x5 >= 108",
    "-3*x0 + 8*x1 >= 0",
    "-10*x2 + 10*x4 >= 0",
    "19*x3 + 11*x5 <= 412",
    "17*x2**2 + 19*x3**2 <= 63",
    "17*x2 + 20*x6 <= 297",
    "5*x4**2 + 20*x6**2 <= 102",
    "5*x4 + 11*x5 <= 88",
    "17*x1**2 + 17*x2**2 <= 375",
    "26*x0 + 19*x3 <= 169",
    "26*x0 + 17*x1 <= 414",
    "11*x5**2 + 20*x6**2 <= 305",
    "17*x1 + 19*x3 + 5*x4 <= 85",
    "17*x1 + 5*x4 + 20*x6 <= 88",
    "17*x1**2 + 17*x2**2 + 5*x4**2 <= 191",
    "26*x0**2 + 17*x2**2 + 11*x5**2 <= 255",
    "26*x0 + 19*x3 + 11*x5 <= 64",
    "17*x1**2 + 17*x2**2 + 19*x3**2 <= 362",
    "26*x0 + 19*x3 + 5*x4 <= 245",
    "17*x1**2 + 17*x2**2 + 20*x6**2 <= 102",
    "26*x0 + 17*x2 + 20*x6 <= 320",
    "17*x2 + 11*x5 + 20*x6 <= 401"
  ]
}
```

```python
import gurobipy as gp

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

# Create variables
cantaloupes = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="cantaloupes")
oreos = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="oreos")
apple_pies = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="apple_pies")
blueberry_pies = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="blueberry_pies")
lemons = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="lemons")
cherry_pies = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="cherry_pies")
chicken_drumsticks = m.addVar(lb=0, vtype=gp.GRB.CONTINUOUS, name="chicken_drumsticks")


# Set objective function
m.setObjective(7*cantaloupes*oreos + 4*cantaloupes*apple_pies + 8*cantaloupes*blueberry_pies + 8*apple_pies*blueberry_pies + 2*blueberry_pies**2 + 5*lemons**2 + 7*lemons*chicken_drumsticks + 5*cherry_pies**2 + 3*chicken_drumsticks**2 + 9*oreos + 1*blueberry_pies + 6*lemons + 7*cherry_pies + 2*chicken_drumsticks, gp.GRB.MINIMIZE)

# Add constraints
m.addConstr(26*cantaloupes + 17*oreos + 17*apple_pies + 19*blueberry_pies + 5*lemons + 11*cherry_pies + 20*chicken_drumsticks <= 421, "r0")
m.addConstr(11*cantaloupes + 23*oreos + 20*apple_pies + 6*blueberry_pies + 21*lemons + 6*cherry_pies + 3*chicken_drumsticks <= 789, "r1")
m.addConstr(19*blueberry_pies + 20*chicken_drumsticks >= 32, "c1")
m.addConstr(26*cantaloupes**2 + 19*blueberry_pies**2 >= 36, "c2")
# ... (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("Optimization ended with status %d" % m.status)

```