## Step 1: Define the symbolic representation of the variables
The variables are 'bowls of instant ramen', 'blueberry pies', 'kiwis', 'ham sandwiches' which can be represented as $x_0, x_1, x_2, x_3$ respectively.

## Step 2: Define the objective function in symbolic notation
The objective function to maximize is $8x_0 + 7x_1 + 8x_2 + 4x_3$.

## Step 3: List all the constraints in symbolic notation
Constraints:
1. $2x_1 + 18x_2 \geq 60$
2. $18x_2 + 19x_3 \geq 70$
3. $8x_0 + 18x_2 \geq 40$
4. $8x_0 + 19x_3 \geq 52$
5. $8x_0 + 18x_2 + 19x_3 \geq 47$
6. $8x_0 + 2x_1 + 18x_2 \geq 47$
7. $8x_0 + 18x_2 + 19x_3 \geq 67$
8. $8x_0 + 2x_1 + 18x_2 \geq 67$
9. $10x_0 + 6x_3 \geq 96$
10. $10x_0 + 17x_2 \geq 90$
11. $21x_1 + 6x_3 \geq 61$
12. $10x_0 + 21x_1 \geq 121$
13. $10x_0 + 21x_1 + 6x_3 \geq 109$
14. $17x_1 + 18x_3 \geq 48$
15. $3x_2 + 18x_3 \geq 43$
16. $10x_0 + 18x_3 \geq 55$
17. $17x_1 + 3x_2 \geq 54$
18. $17x_1 + 3x_2 + 18x_3 \geq 58$
19. $8x_0 + 19x_3 \leq 262$
20. $8x_0 + 18x_2 \leq 190$
21. $18x_2 + 19x_3 \leq 193$
22. $8x_0 + 2x_1 + 18x_2 + 19x_3 \leq 193$
23. $10x_0 + 17x_2 \leq 499$
24. $17x_2 + 6x_3 \leq 233$
25. $21x_1 + 17x_2 \leq 256$
26. $21x_1 + 17x_2 + 6x_3 \leq 153$
27. $10x_0 + 21x_1 + 17x_2 \leq 256$
28. $10x_0 + 21x_1 + 6x_3 \leq 369$
29. $10x_0 + 17x_2 + 6x_3 \leq 376$
30. $10x_0 + 21x_1 + 17x_2 + 6x_3 \leq 376$
31. $17x_1 + 18x_3 \leq 68$
32. $10x_0 + 18x_3 \leq 166$
33. $3x_2 + 18x_3 \leq 231$
34. $17x_1 + 3x_2 \leq 199$
35. $8x_0 + 7x_1 + 8x_2 + 4x_3 \leq 199$

## Step 4: Provide the symbolic representation of the problem
```json
{
    'sym_variables': [
        ('x0', 'bowls of instant ramen'),
        ('x1', 'blueberry pies'),
        ('x2', 'kiwis'),
        ('x3', 'ham sandwiches')
    ],
    'objective_function': '8*x0 + 7*x1 + 8*x2 + 4*x3',
    'constraints': [
        '2*x1 + 18*x2 >= 60',
        '18*x2 + 19*x3 >= 70',
        '8*x0 + 18*x2 >= 40',
        '8*x0 + 19*x3 >= 52',
        '8*x0 + 18*x2 + 19*x3 >= 47',
        '8*x0 + 2*x1 + 18*x2 >= 47',
        '8*x0 + 18*x2 + 19*x3 >= 67',
        '8*x0 + 2*x1 + 18*x2 >= 67',
        '10*x0 + 6*x3 >= 96',
        '10*x0 + 17*x2 >= 90',
        '21*x1 + 6*x3 >= 61',
        '10*x0 + 21*x1 >= 121',
        '10*x0 + 21*x1 + 6*x3 >= 109',
        '17*x1 + 18*x3 >= 48',
        '3*x2 + 18*x3 >= 43',
        '10*x0 + 18*x3 >= 55',
        '17*x1 + 3*x2 >= 54',
        '17*x1 + 3*x2 + 18*x3 >= 58',
        '8*x0 + 19*x3 <= 262',
        '8*x0 + 18*x2 <= 190',
        '18*x2 + 19*x3 <= 193',
        '8*x0 + 2*x1 + 18*x2 + 19*x3 <= 193',
        '10*x0 + 17*x2 <= 499',
        '17*x2 + 6*x3 <= 233',
        '21*x1 + 17*x2 <= 256',
        '21*x1 + 17*x2 + 6*x3 <= 153',
        '10*x0 + 21*x1 + 17*x2 <= 256',
        '10*x0 + 21*x1 + 6*x3 <= 369',
        '10*x0 + 17*x2 + 6*x3 <= 376',
        '10*x0 + 21*x1 + 17*x2 + 6*x3 <= 376',
        '17*x1 + 18*x3 <= 68',
        '10*x0 + 18*x3 <= 166',
        '3*x2 + 18*x3 <= 231',
        '17*x1 + 3*x2 <= 199',
        '8*x0 + 7*x1 + 8*x2 + 4*x3 <= 199'
    ]
}
```

## Step 5: Implement the optimization problem using Gurobi
```python
import gurobi

def solve_optimization_problem():
    model = gurobi.Model()

    # Define variables
    x0 = model.addVar(name="x0", lb=-gurobi.GRB.INFINITY)  # bowls of instant ramen
    x1 = model.addVar(name="x1", lb=-gurobi.GRB.INFINITY)  # blueberry pies
    x2 = model.addVar(name="x2", lb=-gurobi.GRB.INFINITY)  # kiwis
    x3 = model.addVar(name="x3", lb=-gurobi.GRB.INFINITY)  # ham sandwiches

    # Objective function
    model.setObjective(8 * x0 + 7 * x1 + 8 * x2 + 4 * x3, gurobi.GRB.MAXIMIZE)

    # Constraints
    model.addConstr(2 * x1 + 18 * x2 >= 60)
    model.addConstr(18 * x2 + 19 * x3 >= 70)
    model.addConstr(8 * x0 + 18 * x2 >= 40)
    model.addConstr(8 * x0 + 19 * x3 >= 52)
    model.addConstr(8 * x0 + 18 * x2 + 19 * x3 >= 47)
    model.addConstr(8 * x0 + 2 * x1 + 18 * x2 >= 47)
    model.addConstr(8 * x0 + 18 * x2 + 19 * x3 >= 67)
    model.addConstr(8 * x0 + 2 * x1 + 18 * x2 >= 67)
    model.addConstr(10 * x0 + 6 * x3 >= 96)
    model.addConstr(10 * x0 + 17 * x2 >= 90)
    model.addConstr(21 * x1 + 6 * x3 >= 61)
    model.addConstr(10 * x0 + 21 * x1 >= 121)
    model.addConstr(10 * x0 + 21 * x1 + 6 * x3 >= 109)
    model.addConstr(17 * x1 + 18 * x3 >= 48)
    model.addConstr(3 * x2 + 18 * x3 >= 43)
    model.addConstr(10 * x0 + 18 * x3 >= 55)
    model.addConstr(17 * x1 + 3 * x2 >= 54)
    model.addConstr(17 * x1 + 3 * x2 + 18 * x3 >= 58)
    model.addConstr(8 * x0 + 19 * x3 <= 262)
    model.addConstr(8 * x0 + 18 * x2 <= 190)
    model.addConstr(18 * x2 + 19 * x3 <= 193)
    model.addConstr(8 * x0 + 2 * x1 + 18 * x2 + 19 * x3 <= 193)
    model.addConstr(10 * x0 + 17 * x2 <= 499)
    model.addConstr(17 * x2 + 6 * x3 <= 233)
    model.addConstr(21 * x1 + 17 * x2 <= 256)
    model.addConstr(21 * x1 + 17 * x2 + 6 * x3 <= 153)
    model.addConstr(10 * x0 + 21 * x1 + 17 * x2 <= 256)
    model.addConstr(10 * x0 + 21 * x1 + 6 * x3 <= 369)
    model.addConstr(10 * x0 + 17 * x2 + 6 * x3 <= 376)
    model.addConstr(10 * x0 + 21 * x1 + 17 * x2 + 6 * x3 <= 376)
    model.addConstr(17 * x1 + 18 * x3 <= 68)
    model.addConstr(10 * x0 + 18 * x3 <= 166)
    model.addConstr(3 * x2 + 18 * x3 <= 231)
    model.addConstr(17 * x1 + 3 * x2 <= 199)
    model.addConstr(8 * x0 + 7 * x1 + 8 * x2 + 4 * x3 <= 199)

    # Solve the model
    model.optimize()

    # Print the solution
    if model.status == gurobi.GRB.OPTIMAL:
        print("Objective: ", model.objVal)
        print("x0: ", x0.varValue)
        print("x1: ", x1.varValue)
        print("x2: ", x2.varValue)
        print("x3: ", x3.varValue)
    else:
        print("The model is infeasible")

solve_optimization_problem()
```