## Step 1: Define the symbolic representation of the variables
The variables are 'apple pies', 'apples', 'oreos', 'bowls of cereal' which can be represented symbolically as $x_0, x_1, x_2, x_3$ respectively.

## Step 2: Convert the objective function into symbolic notation
The objective function to minimize is $8x_0 + 4x_1 + 7x_2 + 3x_3$.

## Step 3: List all the constraints in symbolic notation
Constraints:
1. $6x_0 + 18x_1 + 18x_2 + 21x_3 \leq 175$ (fat upper bound)
2. $12x_0 + 15x_1 + 11x_2 + 4x_3 \leq 157$ (fiber upper bound)
3. $18x_1 + 18x_2 \geq 15$ (at least 15 grams of fat from apples and oreos)
4. $6x_0 + 18x_1 \geq 36$ (at least 36 grams of fat from apple pies and apples)
5. $6x_0 + 21x_3 \geq 29$ (at least 29 grams of fat from apple pies and bowls of cereal)
6. $6x_0 + 18x_2 \geq 18$ (at least 18 grams of fat from apple pies and oreos)
7. $6x_0 + 18x_1 + 18x_2 \geq 27$ (at least 27 grams of fat from apple pies, apples, and oreos)
8. $6x_0 + 18x_2 + 21x_3 \geq 27$ (at least 27 grams of fat from apple pies, oreos, and bowls of cereal)
9. $18x_1 + 18x_2 + 21x_3 \geq 27$ (at least 27 grams of fat from apples, oreos, and bowls of cereal)
10. $6x_0 + 18x_1 + 18x_2 \geq 41$ (at least 41 grams of fat from apple pies, apples, and oreos)
11. $6x_0 + 18x_2 + 21x_3 \geq 41$ (at least 41 grams of fat from apple pies, oreos, and bowls of cereal)
12. $18x_1 + 18x_2 + 21x_3 \geq 41$ (at least 41 grams of fat from apples, oreos, and bowls of cereal)
13. $6x_0 + 18x_1 + 18x_2 \geq 23$ (at least 23 grams of fat from apple pies and apples and oreos)
14. $6x_0 + 18x_2 + 21x_3 \geq 23$ (at least 23 grams of fat from apple pies, oreos, and bowls of cereal)
15. $18x_1 + 18x_2 + 21x_3 \geq 23$ (at least 23 grams of fat from apples, oreos, and bowls of cereal)
16. $6x_0 + 18x_1 + 18x_2 + 21x_3 \geq 23$ (at least 23 grams of fat from all)
17. $12x_0 + 15x_1 \geq 18$ (at least 18 grams of fiber from apple pies and apples)
18. $15x_1 + 11x_2 \geq 17$ (at least 17 grams of fiber from apples and oreos)
19. $12x_0 + 11x_2 \geq 36$ (at least 36 grams of fiber from apple pies and oreos)
20. $11x_2 + 4x_3 \geq 20$ (at least 20 grams of fiber from oreos and bowls of cereal)
21. $12x_0 + 15x_1 + 4x_3 \geq 37$ (at least 37 grams of fiber from apple pies, apples, and bowls of cereal)
22. $12x_0 + 15x_1 + 11x_2 \geq 37$ (at least 37 grams of fiber from apple pies, apples, and oreos)
23. $12x_0 + 15x_1 + 4x_3 \geq 24$ (at least 24 grams of fiber from apple pies, apples, and bowls of cereal)
24. $12x_0 + 15x_1 + 11x_2 \geq 24$ (at least 24 grams of fiber from apple pies, apples, and oreos)
25. $12x_0 + 15x_1 + 11x_2 + 4x_3 \geq 24$ (at least 24 grams of fiber from all)
26. $-9x_2 + x_3 \geq 0$ (relationship between oreos and bowls of cereal)
27. $6x_0 + 18x_1 + 18x_2 \leq 72$ (at most 72 grams of fat from apple pies, apples, and oreos)
28. $6x_0 + 18x_1 + 21x_3 \leq 74$ (at most 74 grams of fat from apple pies, apples, and bowls of cereal)
29. $18x_1 + 18x_2 + 21x_3 \leq 50$ (at most 50 grams of fat from apples, oreos, and bowls of cereal, incorrect - see resource limit)
30. $6x_0 + 18x_2 + 21x_3 \leq 158$ (at most 158 grams of fat from apple pies, oreos, and bowls of cereal)
31. $12x_0 + 15x_1 \leq 102$ (up to 102 grams of fiber from apple pies and apples)
32. $15x_1 + 11x_2 \leq 155$ (at most 155 grams of fiber from apples and oreos)
33. $12x_0 + 11x_2 + 4x_3 \leq 116$ (at most 116 grams of fiber from apple pies, oreos, and bowls of cereal)

## Step 4: Create the symbolic representation of the problem
```json
{
    'sym_variables': [
        ('x0', 'apple pies'),
        ('x1', 'apples'),
        ('x2', 'oreos'),
        ('x3', 'bowls of cereal')
    ],
    'objective_function': '8*x0 + 4*x1 + 7*x2 + 3*x3',
    'constraints': [
        '6*x0 + 18*x1 + 18*x2 + 21*x3 <= 175',
        '12*x0 + 15*x1 + 11*x2 + 4*x3 <= 157',
        '18*x1 + 18*x2 >= 15',
        '6*x0 + 18*x1 >= 36',
        '6*x0 + 21*x3 >= 29',
        '6*x0 + 18*x2 >= 18',
        '6*x0 + 18*x1 + 18*x2 >= 27',
        '6*x0 + 18*x2 + 21*x3 >= 27',
        '18*x1 + 18*x2 + 21*x3 >= 27',
        '6*x0 + 18*x1 + 18*x2 >= 41',
        '6*x0 + 18*x2 + 21*x3 >= 41',
        '18*x1 + 18*x2 + 21*x3 >= 41',
        '6*x0 + 18*x1 + 18*x2 >= 23',
        '6*x0 + 18*x2 + 21*x3 >= 23',
        '18*x1 + 18*x2 + 21*x3 >= 23',
        '6*x0 + 18*x1 + 18*x2 + 21*x3 >= 23',
        '12*x0 + 15*x1 >= 18',
        '15*x1 + 11*x2 >= 17',
        '12*x0 + 11*x2 >= 36',
        '11*x2 + 4*x3 >= 20',
        '12*x0 + 15*x1 + 4*x3 >= 37',
        '12*x0 + 15*x1 + 11*x2 >= 37',
        '12*x0 + 15*x1 + 4*x3 >= 24',
        '12*x0 + 15*x1 + 11*x2 >= 24',
        '12*x0 + 15*x1 + 11*x2 + 4*x3 >= 24',
        '-9*x2 + x3 >= 0',
        '6*x0 + 18*x1 + 18*x2 <= 72',
        '6*x0 + 18*x1 + 21*x3 <= 74',
        '18*x1 + 18*x2 + 21*x3 <= 50',
        '6*x0 + 18*x2 + 21*x3 <= 158',
        '12*x0 + 15*x1 <= 102',
        '15*x1 + 11*x2 <= 155',
        '12*x0 + 11*x2 + 4*x3 <= 116'
    ]
}
```

## Step 5: Write the Gurobi code
```python
import gurobi

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

    # Define variables
    x0 = model.addVar(name="apple_pies", lb=0)
    x1 = model.addVar(name="apples", lb=0)
    x2 = model.addVar(name="oreos", lb=0)
    x3 = model.addVar(name="bowls_of_cereal", lb=0)

    # Objective function
    model.setObjective(8*x0 + 4*x1 + 7*x2 + 3*x3, gurobi.GRB.MINIMIZE)

    # Constraints
    model.addConstr(6*x0 + 18*x1 + 18*x2 + 21*x3 <= 175)
    model.addConstr(12*x0 + 15*x1 + 11*x2 + 4*x3 <= 157)
    model.addConstr(18*x1 + 18*x2 >= 15)
    model.addConstr(6*x0 + 18*x1 >= 36)
    model.addConstr(6*x0 + 21*x3 >= 29)
    model.addConstr(6*x0 + 18*x2 >= 18)
    model.addConstr(6*x0 + 18*x1 + 18*x2 >= 27)
    model.addConstr(6*x0 + 18*x2 + 21*x3 >= 27)
    model.addConstr(18*x1 + 18*x2 + 21*x3 >= 27)
    model.addConstr(6*x0 + 18*x1 + 18*x2 >= 41)
    model.addConstr(6*x0 + 18*x2 + 21*x3 >= 41)
    model.addConstr(18*x1 + 18*x2 + 21*x3 >= 41)
    model.addConstr(6*x0 + 18*x1 + 18*x2 >= 23)
    model.addConstr(6*x0 + 18*x2 + 21*x3 >= 23)
    model.addConstr(18*x1 + 18*x2 + 21*x3 >= 23)
    model.addConstr(6*x0 + 18*x1 + 18*x2 + 21*x3 >= 23)
    model.addConstr(12*x0 + 15*x1 >= 18)
    model.addConstr(15*x1 + 11*x2 >= 17)
    model.addConstr(12*x0 + 11*x2 >= 36)
    model.addConstr(11*x2 + 4*x3 >= 20)
    model.addConstr(12*x0 + 15*x1 + 4*x3 >= 37)
    model.addConstr(12*x0 + 15*x1 + 11*x2 >= 37)
    model.addConstr(12*x0 + 15*x1 + 4*x3 >= 24)
    model.addConstr(12*x0 + 15*x1 + 11*x2 >= 24)
    model.addConstr(12*x0 + 15*x1 + 11*x2 + 4*x3 >= 24)
    model.addConstr(-9*x2 + x3 >= 0)
    model.addConstr(6*x0 + 18*x1 + 18*x2 <= 72)
    model.addConstr(6*x0 + 18*x1 + 21*x3 <= 74)
    model.addConstr(18*x1 + 18*x2 + 21*x3 <= 50)
    model.addConstr(6*x0 + 18*x2 + 21*x3 <= 158)
    model.addConstr(12*x0 + 15*x1 <= 102)
    model.addConstr(15*x1 + 11*x2 <= 155)
    model.addConstr(12*x0 + 11*x2 + 4*x3 <= 116)

    # Solve the model
    model.optimize()

    # Print the solution
    if model.status == gurobi.GRB.OPTIMAL:
        print("Objective: ", model.objVal)
        print("Apple Pies: ", x0.varValue)
        print("Apples: ", x1.varValue)
        print("Oreos: ", x2.varValue)
        print("Bowls of Cereal: ", x3.varValue)
    else:
        print("No optimal solution found")

solve_optimization_problem()
```