```json
{
  "sym_variables": [
    ("x0", "hot dogs"),
    ("x1", "lemons"),
    ("x2", "apple pies"),
    ("x3", "apples"),
    ("x4", "fruit salads"),
    ("x5", "corn cobs")
  ],
  "objective_function": "8*x0 + 7*x1 + 8*x2 + 1*x3 + 7*x4 + 9*x5",
  "constraints": [
    "2.61*x0 + 5.18*x1 + 17.84*x2 + 5.81*x3 + 11.17*x4 + 15.47*x5 <= 501",
    "18.21*x0 + 7.26*x1 + 1.81*x2 + 9.8*x3 + 1.04*x4 + 6.24*x5 <= 259",
    "9.96*x0 + 0.42*x1 + 0.39*x2 + 9.33*x3 + 9.06*x4 + 12.48*x5 <= 602",
    "5.18*x1 + 17.84*x2 + 5.81*x3 >= 59",
    "5.18*x1 + 5.81*x3 + 15.47*x5 >= 59",
    "2.61*x0 + 11.17*x4 + 15.47*x5 >= 59",
    "5.18*x1 + 17.84*x2 + 11.17*x4 >= 59",
    "2.61*x0 + 5.18*x1 + 11.17*x4 >= 59",
    "2.61*x0 + 17.84*x2 + 15.47*x5 >= 59",
    "2.61*x0 + 5.18*x1 + 15.47*x5 >= 59",
    "2.61*x0 + 5.18*x1 + 5.81*x3 >= 59",
    "2.61*x0 + 17.84*x2 + 5.81*x3 >= 59",
    "5.18*x1 + 5.81*x3 + 11.17*x4 >= 59",
    "5.18*x1 + 17.84*x2 + 5.81*x3 >= 61",
    "5.18*x1 + 5.81*x3 + 15.47*x5 >= 61",
    "2.61*x0 + 11.17*x4 + 15.47*x5 >= 61",
    "5.18*x1 + 17.84*x2 + 11.17*x4 >= 61",
    "2.61*x0 + 5.18*x1 + 11.17*x4 >= 61",
    "2.61*x0 + 17.84*x2 + 15.47*x5 >= 61",
    "2.61*x0 + 5.18*x1 + 15.47*x5 >= 61",
    "2.61*x0 + 5.18*x1 + 5.81*x3 >= 61",
    "2.61*x0 + 17.84*x2 + 5.81*x3 >= 61",
    "5.18*x1 + 5.81*x3 + 11.17*x4 >= 61",
    "5.18*x1 + 17.84*x2 + 5.81*x3 >= 48",
    "5.18*x1 + 5.81*x3 + 15.47*x5 >= 48",
    "2.61*x0 + 11.17*x4 + 15.47*x5 >= 48",
    "5.18*x1 + 17.84*x2 + 11.17*x4 >= 48",
    "2.61*x0 + 5.18*x1 + 11.17*x4 >= 48",
    "2.61*x0 + 17.84*x2 + 15.47*x5 >= 48",
    "2.61*x0 + 5.18*x1 + 15.47*x5 >= 48",
    "2.61*x0 + 5.18*x1 + 5.81*x3 >= 48",
    "2.61*x0 + 17.84*x2 + 5.81*x3 >= 48",
    "5.18*x1 + 5.81*x3 + 11.17*x4 >= 48",
    "5.18*x1 + 17.84*x2 + 5.81*x3 >= 56",
    "5.18*x1 + 5.81*x3 + 15.47*x5 >= 56",
    "2.61*x0 + 11.17*x4 + 15.47*x5 >= 56",
    "5.18*x1 + 17.84*x2 + 11.17*x4 >= 56",
    "2.61*x0 + 5.18*x1 + 11.17*x4 >= 56",
    "2.61*x0 + 17.84*x2 + 15.47*x5 >= 56",
    "2.61*x0 + 5.18*x1 + 15.47*x5 >= 56",
    "2.61*x0 + 5.18*x1 + 5.81*x3 >= 56",
    "2.61*x0 + 17.84*x2 + 5.81*x3 >= 56",
    "5.18*x1 + 5.81*x3 + 11.17*x4 >= 56",
    "5.18*x1 + 17.84*x2 + 5.81*x3 >= 44",
    "5.18*x1 + 5.81*x3 + 15.47*x5 >= 44",
    "2.61*x0 + 11.17*x4 + 15.47*x5 >= 44",
    "5.18*x1 + 17.84*x2 + 11.17*x4 >= 44",
    "2.61*x0 + 5.18*x1 + 11.17*x4 >= 44",
    "2.61*x0 + 17.84*x2 + 15.47*x5 >= 44",
    "2.61*x0 + 5.18*x1 + 15.47*x5 >= 44",
    "2.61*x0 + 5.18*x1 + 5.81*x3 >= 44",
    "2.61*x0 + 17.84*x2 + 5.81*x3 >= 44",
    "5.18*x1 + 5.81*x3 + 11.17*x4 >= 44",
    "5.18*x1 + 17.84*x2 + 5.81*x3 >= 44",
    "5.18*x1 + 5.81*x3 + 15.47*x5 >= 44",
    "2.61*x0 + 11.17*x4 + 15.47*x5 >= 44",
    "5.18*x1 + 17.84*x2 + 11.17*x4 >= 44",
    "2.61*x0 + 5.18*x1 + 11.17*x4 >= 44",
    "2.61*x0 + 17.84*x2 + 15.47*x5 >= 44",
    "2.61*x0 + 5.18*x1 + 15.47*x5 >= 44",
    "2.61*x0 + 5.18*x1 + 5.81*x3 >= 44",
    "2.61*x0 + 17.84*x2 + 5.81*x3 >= 44",
    "5.18*x1 + 5.81*x3 + 11.17*x4 >= 44",

    "18.21*x0 + 1.04*x4 >= 16",
    "1.04*x4 + 6.24*x5 >= 40",
    "18.21*x0 + 7.26*x1 >= 34",
    "1.81*x2 + 9.8*x3 + 1.04*x4 >= 43",
    "18.21*x0 + 7.26*x1 + 6.24*x5 >= 43",
    "18.21*x0 + 7.26*x1 + 9.8*x3 >= 43",
    "7.26*x1 + 9.8*x3 + 1.04*x4 >= 43",
    "1.81*x2 + 9.8*x3 + 1.04*x4 >= 35",
    "18.21*x0 + 7.26*x1 + 6.24*x5 >= 35",
    "18.21*x0 + 7.26*x1 + 9.8*x3 >= 35",
    "7.26*x1 + 9.8*x3 + 1.04*x4 >= 35",
    "1.81*x2 + 9.8*x3 + 1.04*x4 >= 30",
    "18.21*x0 + 7.26*x1 + 6.24*x5 >= 30",
    "18.21*x0 + 7.26*x1 + 9.8*x3 >= 30",
    "7.26*x1 + 9.8*x3 + 1.04*x4 >= 30",
    "1.81*x2 + 9.8*x3 + 1.04*x4 >= 33",
    "18.21*x0 + 7.26*x1 + 6.24*x5 >= 33",
    "18.21*x0 + 7.26*x1 + 9.8*x3 >= 33",
    "7.26*x1 + 9.8*x3 + 1.04*x4 >= 33",
    "9.96*x0 + 9.33*x3 + 9.06*x4 >= 85",
    "9.96*x0 + 0.42*x1 + 12.48*x5 >= 85",
    "0.39*x2 + 9.06*x4 + 12.48*x5 >= 85",
    "0.42*x1 + 0.39*x2 + 12.48*x5 >= 85",
    "0.39*x2 + 9.33*x3 + 9.06*x4 >= 85",
    "9.96*x0 + 9.33*x3 + 9.06*x4 >= 50",
    "9.96*x0 + 0.42*x1 + 12.48*x5 >= 50",
    "0.39*x2 + 9.06*x4 + 12.48*x5 >= 50",
    "0.42*x1 + 0.39*x2 + 12.48*x5 >= 50",
    "0.39*x2 + 9.33*x3 + 9.06*x4 >= 50",
    "9.96*x0 + 9.33*x3 + 9.06*x4 >= 70",
    "9.96*x0 + 0.42*x1 + 12.48*x5 >= 70",
    "0.39*x2 + 9.06*x4 + 12.48*x5 >= 70",
    "0.42*x1 + 0.39*x2 + 12.48*x5 >= 70",
    "0.39*x2 + 9.33*x3 + 9.06*x4 >= 70",
    "9.96*x0 + 9.33*x3 + 9.06*x4 >= 95",
    "9.96*x0 + 0.42*x1 + 12.48*x5 >= 95",
    "0.39*x2 + 9.06*x4 + 12.48*x5 >= 95",
    "0.42*x1 + 0.39*x2 + 12.48*x5 >= 95",
    "0.39*x2 + 9.33*x3 + 9.06*x4 >= 95",
    "9.96*x0 + 9.33*x3 + 9.06*x4 >= 51",
    "9.96*x0 + 0.42*x1 + 12.48*x5 >= 51",
    "0.39*x2 + 9.06*x4 + 12.48*x5 >= 51",
    "0.42*x1 + 0.39*x2 + 12.48*x5 >= 51",
    "0.39*x2 + 9.33*x3 + 9.06*x4 >= 51",
    "8*x3 - 9*x5 >= 0",
    "5.81*x3 + 11.17*x4 <= 284",
    "5.18*x1 + 11.17*x4 <= 252",
    "2.61*x0 + 15.47*x5 <= 261",
    "5.18*x1 + 5.81*x3 <= 212",
    "2.61*x0 + 17.84*x2 <= 167",
    "17.84*x2 + 11.17*x4 <= 303",
    "5.81*x3 + 15.47*x5 <= 210",
    "5.18*x1 + 15.47*x5 <= 297",
    "2.61*x0 + 5.18*x1 + 17.84*x2 + 5.81*x3 + 11.17*x4 + 15.47*x5 <= 297",
    "7.26*x1 + 1.04*x4 <= 124",
    "7.26*x1 + 6.24*x5 <= 222",
    "7.26*x1 + 9.8*x3 <= 208",
    "18.21*x0 + 1.04*x4 <= 241",
    "18.21*x0 + 6.24*x5 <= 140",
    "1.81*x2 + 9.8*x3 + 1.04*x4 <= 94",
    "7.26*x1 + 1.81*x2 + 1.04*x4 <= 219",
    "18.21*x0 + 7.26*x1 + 1.04*x4 <= 190",
    "18.21*x0 + 7.26*x1 + 9.8*x3 <= 214",
    "7.26*x1 + 1.81*x2 + 6.24*x5 <= 212",
    "1.81*x2 + 9.8*x3 + 6.24*x5 <= 109",
    "18.21*x0 + 1.04*x4 + 6.24*x5 <= 194",
    "18.21*x0 + 7.26*x1 + 1.81*x2 + 9.8*x3 + 1.04*x4 + 6.24*x5 <= 194",
    "0.42*x1 + 12.48*x5 <= 221",
    "0.42*x1 + 9.33*x3 <= 474",
    "9.96*x0 + 9.06*x4 <= 153",
    "9.33*x3 + 9.06*x4 <= 579",
    "9.96*x0 + 9.33*x3 <= 297",
    "0.39*x2 + 9.33*x3 + 9.06*x4 <= 497",
    "9.96*x0 + 9.06*x4 + 12.48*x5 <= 242",
    "0.42*x1 + 0.39*x2 + 9.33*x3 <= 406",
    "9.96*x0 + 9.33*x3 + 9.06*x4 <= 521",
    "0.42*x1 + 9.33*x3 + 9.06*x4 <= 240",
    "0.42*x1 + 9.33*x3 + 12.48*x5 <= 239",
    "9.96*x0 + 9.33*x3 + 12.48*x5 <= 379",
    "9.96*x0 + 0.39*x2 + 12.48*x5 <= 157",
    "9.96*x0 + 0.42*x1 + 12.48*x5 <= 289",
    "0.42*x1 + 0.39*x2 + 12.48*x5 <= 109",
    "0.42*x1 + 9.06*x4 + 12.48*x5 <= 551",
    "0.39*x2 + 9.06*x4 + 12.48*x5 <= 398",
    "9.96*x0 + 0.42*x1 + 9.06*x4 <= 193",
    "9.33*x3 + 9.06*x4 + 12.48*x5 <= 154",
    "9.96*x0 + 0.42*x1 + 0.39*x2 + 9.33*x3 + 9.06*x4 + 12.48*x5 <= 154",
    "x0 == int(x0)",
    "x1 == int(x1)",
    "x2 == int(x2)",
    "x3 == int(x3)",
    "x4 == int(x4)",
    "x5 == int(x5)"


  ]
}
```

```python
import gurobipy as gp

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

# Create variables
hot_dogs = m.addVar(vtype=gp.GRB.INTEGER, name="hot_dogs")
lemons = m.addVar(vtype=gp.GRB.INTEGER, name="lemons")
apple_pies = m.addVar(vtype=gp.GRB.INTEGER, name="apple_pies")
apples = m.addVar(vtype=gp.GRB.INTEGER, name="apples")
fruit_salads = m.addVar(vtype=gp.GRB.INTEGER, name="fruit_salads")
corn_cobs = m.addVar(vtype=gp.GRB.INTEGER, name="corn_cobs")


# Set objective function
m.setObjective(8 * hot_dogs + 7 * lemons + 8 * apple_pies + 1 * apples + 7 * fruit_salads + 9 * corn_cobs, gp.GRB.MAXIMIZE)

# Add constraints
m.addConstr(2.61 * hot_dogs + 5.18 * lemons + 17.84 * apple_pies + 5.81 * apples + 11.17 * fruit_salads + 15.47 * corn_cobs <= 501, "r0")
m.addConstr(18.21 * hot_dogs + 7.26 * lemons + 1.81 * apple_pies + 9.8 * apples + 1.04 * fruit_salads + 6.24 * corn_cobs <= 259, "r1")
m.addConstr(9.96 * hot_dogs + 0.42 * lemons + 0.39 * apple_pies + 9.33 * apples + 9.06 * fruit_salads + 12.48 * corn_cobs <= 602, "r2")
# ... (add all other constraints similarly, replacing variable names)


# 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("Model is infeasible")
else:
    print("Optimization ended with status %d" % m.status)

```