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

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

# Create variables
hamburgers = m.addVar(vtype=GRB.INTEGER, name="hamburgers")
bowls_of_cereal = m.addVar(vtype=GRB.INTEGER, name="bowls_of_cereal")
black_beans = m.addVar(vtype=GRB.INTEGER, name="black_beans")
chicken_drumsticks = m.addVar(vtype=GRB.CONTINUOUS, name="chicken_drumsticks")
tomatoes = m.addVar(vtype=GRB.CONTINUOUS, name="tomatoes")
cherry_pies = m.addVar(vtype=GRB.INTEGER, name="cherry_pies")

# Set objective function
m.setObjective(1.99 * hamburgers + 6.45 * bowls_of_cereal + 3.61 * black_beans + 2.79 * chicken_drumsticks + 3.16 * tomatoes + 4.23 * cherry_pies, GRB.MAXIMIZE)

# Add constraints
m.addConstr(4 * hamburgers + 1 * bowls_of_cereal + 5 * black_beans + 5 * chicken_drumsticks + 5 * tomatoes + 2 * cherry_pies <= 129, "dollar_cost")
m.addConstr(4 * hamburgers + 8 * bowls_of_cereal + 2 * black_beans + 1 * chicken_drumsticks + 1 * tomatoes + 7 * cherry_pies <= 264, "carbohydrates")

m.addConstr(5 * black_beans + 5 * tomatoes >= 10, "black_beans_tomatoes_cost")
m.addConstr(5 * chicken_drumsticks + 5 * tomatoes >= 15, "chicken_drumsticks_tomatoes_cost")
m.addConstr(4 * hamburgers + 5 * black_beans >= 13, "hamburgers_black_beans_cost")
m.addConstr(1 * bowls_of_cereal + 5 * chicken_drumsticks >= 16, "bowls_of_cereal_chicken_drumsticks_cost")

m.addConstr(8 * bowls_of_cereal + 1 * chicken_drumsticks >= 28, "bowls_of_cereal_chicken_drumsticks_carbs")
m.addConstr(4 * hamburgers + 7 * cherry_pies >= 19, "hamburgers_cherry_pies_carbs")
m.addConstr(2 * black_beans + 1 * tomatoes >= 35, "black_beans_tomatoes_carbs")
m.addConstr(4 * hamburgers + 1 * tomatoes >= 30, "hamburgers_tomatoes_carbs")
m.addConstr(4 * hamburgers + 1 * chicken_drumsticks >= 17, "hamburgers_chicken_drumsticks_carbs")
m.addConstr(8 * bowls_of_cereal + 2 * black_beans >= 18, "bowls_of_cereal_black_beans_carbs")

m.addConstr(4 * hamburgers + 1 * tomatoes + 7 * cherry_pies >= 22, "carbs_1")
m.addConstr(8 * bowls_of_cereal + 1 * chicken_drumsticks + 1 * tomatoes >= 22, "carbs_2")
m.addConstr(8 * bowls_of_cereal + 2 * black_beans + 1 * tomatoes >= 22, "carbs_3")
m.addConstr(8 * bowls_of_cereal + 1 * chicken_drumsticks + 7 * cherry_pies >= 22, "carbs_4")
m.addConstr(4 * hamburgers + 1 * tomatoes + 7 * cherry_pies >= 37, "carbs_5")
m.addConstr(8 * bowls_of_cereal + 1 * chicken_drumsticks + 1 * tomatoes >= 37, "carbs_6")
m.addConstr(8 * bowls_of_cereal + 2 * black_beans + 1 * tomatoes >= 37, "carbs_7")
m.addConstr(8 * bowls_of_cereal + 1 * chicken_drumsticks + 7 * cherry_pies >= 37, "carbs_8")

m.addConstr(4 * hamburgers + 1 * tomatoes + 7 * cherry_pies >= 41, "carbs_9")
m.addConstr(8 * bowls_of_cereal + 1 * chicken_drumsticks + 1 * tomatoes >= 41, "carbs_10")
m.addConstr(8 * bowls_of_cereal + 2 * black_beans + 1 * tomatoes >= 41, "carbs_11")
m.addConstr(8 * bowls_of_cereal + 1 * chicken_drumsticks + 7 * cherry_pies >= 41, "carbs_12")


m.addConstr(4 * hamburgers + 1 * tomatoes + 7 * cherry_pies >= 35, "carbs_13")
m.addConstr(8 * bowls_of_cereal + 1 * chicken_drumsticks + 1 * tomatoes >= 35, "carbs_14")
m.addConstr(8 * bowls_of_cereal + 2 * black_beans + 1 * tomatoes >= 35, "carbs_15")
m.addConstr(8 * bowls_of_cereal + 1 * chicken_drumsticks + 7 * cherry_pies >= 35, "carbs_16")


m.addConstr(5 * tomatoes + 2 * cherry_pies <= 74, "cost_1")
m.addConstr(1 * bowls_of_cereal + 2 * cherry_pies <= 94, "cost_2")
m.addConstr(5 * black_beans + 5 * chicken_drumsticks + 2 * cherry_pies <= 62, "cost_3")
m.addConstr(5 * black_beans + 5 * tomatoes + 2 * cherry_pies <= 54, "cost_4")
m.addConstr(1 * bowls_of_cereal + 5 * chicken_drumsticks + 2 * cherry_pies <= 78, "cost_5")
m.addConstr(1 * bowls_of_cereal + 5 * black_beans + 5 * chicken_drumsticks <= 113, "cost_6")
m.addConstr(4 * hamburgers + 5 * black_beans + 5 * tomatoes <= 69, "cost_7")
m.addConstr(4 * hamburgers + 5 * black_beans + 2 * cherry_pies <= 24, "cost_8")

m.addConstr(4 * hamburgers + 1 * bowls_of_cereal + 5 * black_beans + 5 * chicken_drumsticks + 5 * tomatoes + 2 * cherry_pies <= 24, "cost_9")


m.addConstr(8 * bowls_of_cereal + 1 * chicken_drumsticks <= 244, "carbs_17")
m.addConstr(4 * hamburgers + 1 * tomatoes <= 120, "carbs_18")
m.addConstr(4 * hamburgers + 7 * cherry_pies <= 125, "carbs_19")
m.addConstr(4 * hamburgers + 8 * bowls_of_cereal <= 155, "carbs_20")
m.addConstr(8 * bowls_of_cereal + 2 * black_beans <= 202, "carbs_21")
m.addConstr(1 * tomatoes + 7 * cherry_pies <= 46, "carbs_22")

# ... (rest of the carb 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))
else:
    print("Infeasible")

```