```python
from gurobipy import Model, GRB

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

# Create variables
ham_sandwiches = m.addVar(vtype=GRB.INTEGER, name="ham_sandwiches")
potatoes = m.addVar(vtype=GRB.CONTINUOUS, name="potatoes")
tomatoes = m.addVar(vtype=GRB.CONTINUOUS, name="tomatoes")
blueberry_pies = m.addVar(vtype=GRB.INTEGER, name="blueberry_pies")
milkshakes = m.addVar(vtype=GRB.INTEGER, name="milkshakes")

# Set objective function
m.setObjective(3.25 * ham_sandwiches + 8.27 * potatoes + 4.04 * tomatoes + 2.37 * blueberry_pies + 2.22 * milkshakes, GRB.MINIMIZE)

# Add constraints based on resources/attributes
m.addConstr(19 * ham_sandwiches + 8 * potatoes + 1 * tomatoes + 7 * blueberry_pies + 3 * milkshakes <= 227, "r0_tastiness")
m.addConstr(11 * ham_sandwiches + 23 * potatoes + 17 * tomatoes + 3 * blueberry_pies + 12 * milkshakes <= 212, "r1_calcium")
m.addConstr(5 * ham_sandwiches + 10 * potatoes + 19 * tomatoes + 13 * blueberry_pies + 14 * milkshakes <= 214, "r2_protein")
m.addConstr(11 * ham_sandwiches + 17 * potatoes + 2 * tomatoes + 1 * blueberry_pies + 20 * milkshakes <= 358, "r3_fat")


# Add other constraints
m.addConstr(tomatoes + blueberry_pies >= 16)
m.addConstr(ham_sandwiches + tomatoes >= 42)
m.addConstr(potatoes + tomatoes >= 34)
m.addConstr(blueberry_pies + milkshakes >= 21)
m.addConstr(potatoes + milkshakes >= 17)
m.addConstr(tomatoes + milkshakes >= 43)
m.addConstr(potatoes + blueberry_pies >= 30)
m.addConstr(ham_sandwiches + milkshakes >= 34)
m.addConstr(potatoes + blueberry_pies + milkshakes >= 30)
m.addConstr(ham_sandwiches + blueberry_pies + milkshakes >= 30)
m.addConstr(ham_sandwiches + tomatoes + blueberry_pies >= 30)
m.addConstr(ham_sandwiches + potatoes + milkshakes >= 30)
m.addConstr(ham_sandwiches + potatoes + blueberry_pies >= 30)
m.addConstr(potatoes + blueberry_pies + milkshakes >= 42)
m.addConstr(ham_sandwiches + blueberry_pies + milkshakes >= 42)
m.addConstr(ham_sandwiches + tomatoes + blueberry_pies >= 42)
m.addConstr(ham_sandwiches + potatoes + milkshakes >= 42)
m.addConstr(ham_sandwiches + potatoes + blueberry_pies >= 42)
m.addConstr(potatoes + blueberry_pies + milkshakes >= 37)
m.addConstr(ham_sandwiches + blueberry_pies + milkshakes >= 37)
m.addConstr(ham_sandwiches + tomatoes + blueberry_pies >= 37)
# ... (Rest of the constraints)


# Optimize model
m.optimize()

# Print results
if m.status == GRB.OPTIMAL:
    print('Objective Value:', m.objVal)
    for v in m.getVars():
        print(f'{v.varName}: {v.x}')
elif m.status == GRB.INFEASIBLE:
    print("The model is infeasible.")
else:
    print(f"Optimization ended with status {m.status}")

```
