## Step 1: Define the variables and their corresponding symbolic representation
The variables are: ['peanutbutter sandwiches', 'oreos', 'kiwis', 'fruit salads', 'milkshakes', 'eggs']. 
Their symbolic representations are: ['x0', 'x1', 'x2', 'x3', 'x4', 'x5'].

## Step 2: Create a dictionary for easy reference of variables and their attributes
The attributes are given as:
```json
{
    'r0': {'description': 'umami index', 'upper_bound': 101, 'x0': 14, 'x1': 13, 'x2': 2, 'x3': 4, 'x4': 2, 'x5': 11},
    'r1': {'description': 'grams of fat', 'upper_bound': 388, 'x0': 11, 'x1': 5, 'x2': 14, 'x3': 6, 'x4': 13, 'x5': 14}
}
```

## Step 3: Formulate the objective function
The objective function to minimize is: 
\[ 4.47x_0 + 7.12x_1 + 3.96x_2 + 7.26x_3 + 9.54x_4 + 7.14x_5 \]

## 4: List all the constraints
Constraints:
1. \( 14x_0 + 4x_3 \geq 12 \)
2. \( 2x_2 + 2x_4 \geq 15 \)
3. \( 2x_2 + 4x_3 \geq 9 \)
4. \( 14x_0 + 2x_2 \geq 8 \)
5. \( 4x_3 + 11x_5 \geq 6 \)
6. \( 14x_0 + 2x_4 \geq 5 \)
7. \( 13x_1 + 4x_3 \geq 5 \)
8. \( 14x_0 + 11x_5 \geq 14 \)
9. \( 4x_3 + 2x_4 \geq 6 \)
10. \( 13x_1 + 2x_4 \geq 15 \)
11. \( 13x_1 + 2x_4 + 11x_5 \geq 15 \)
12. \( 14x_0 + 13x_1 + 2x_2 + 4x_3 + 2x_4 + 11x_5 \geq 15 \)
13. \( 14x_2 + 6x_3 + 13x_4 \geq 50 \)
14. \( 6x_3 + 14x_5 \geq 49 \)
15. \( 11x_0 + 6x_3 \geq 57 \)
16. \( 14x_2 + 6x_3 \geq 21 \)
17. \( 13x_4 + 14x_5 \geq 48 \)
18. \( 5x_1 + 14x_5 \geq 39 \)
19. \( 5x_1 + 13x_4 \geq 25 \)
20. \( 5x_1 + 14x_2 \geq 43 \)
21. \( 14x_2 + 14x_5 \geq 32 \)
22. \( 11x_0 + 5x_1 + 14x_2 + 6x_3 + 13x_4 + 14x_5 \geq 37 \)
23. \( 2x_1 - 4x_3 \geq 0 \)
24. \( 13x_1 + 2x_2 + 4x_3 \leq 88 \)
25. \( 2x_2 + 2x_4 + 11x_5 \leq 33 \)
26. \( 13x_1 + 4x_3 + 2x_4 \leq 53 \)
27. \( 2x_2 + 4x_3 + 2x_4 \leq 29 \)
28. \( 13x_1 + 2x_4 + 11x_5 \leq 79 \)
29. \( 4x_3 + 2x_4 + 11x_5 \leq 97 \)
30. \( 14x_0 + 4x_3 + 2x_4 \leq 43 \)
31. \( 13x_1 + 2x_2 + 2x_4 \leq 25 \)
32. \( 14x_0 + 13x_1 + 2x_2 \leq 99 \)
33. \( 14x_0 + 13x_1 + 2x_4 \leq 51 \)
34. \( 2x_2 + 4x_3 + 11x_5 \leq 44 \)
35. \( 13x_1 + 2x_2 + 11x_5 \leq 35 \)
36. \( 13x_1 + 4x_3 + 11x_5 \leq 82 \)
37. \( 5x_1 + 13x_4 \leq 369 \)
38. \( 11x_0 + 14x_2 + 13x_4 \leq 386 \)
39. \( 11x_0 + 13x_4 + 14x_5 \leq 371 \)
40. \( 11x_0 + 5x_1 + 14x_2 \leq 258 \)
41. \( 14x_2 + 6x_3 + 13x_4 \leq 276 \)
42. \( 11x_0 + 6x_3 + 13x_4 \leq 194 \)

## 5: Symbolic Representation
```json
{
    'sym_variables': [
        ['x0', 'peanutbutter sandwiches'],
        ['x1', 'oreos'],
        ['x2', 'kiwis'],
        ['x3', 'fruit salads'],
        ['x4', 'milkshakes'],
        ['x5', 'eggs']
    ],
    'objective_function': '4.47*x0 + 7.12*x1 + 3.96*x2 + 7.26*x3 + 9.54*x4 + 7.14*x5',
    'constraints': [
        '14*x0 + 4*x3 >= 12',
        '2*x2 + 2*x4 >= 15',
        '2*x2 + 4*x3 >= 9',
        '14*x0 + 2*x2 >= 8',
        '4*x3 + 11*x5 >= 6',
        '14*x0 + 2*x4 >= 5',
        '13*x1 + 4*x3 >= 5',
        '14*x0 + 11*x5 >= 14',
        '4*x3 + 2*x4 >= 6',
        '13*x1 + 2*x4 >= 15',
        '13*x1 + 2*x4 + 11*x5 >= 15',
        '14*x0 + 13*x1 + 2*x2 + 4*x3 + 2*x4 + 11*x5 >= 15',
        '14*x2 + 6*x3 + 13*x4 >= 50',
        '6*x3 + 14*x5 >= 49',
        '11*x0 + 6*x3 >= 57',
        '14*x2 + 6*x3 >= 21',
        '13*x4 + 14*x5 >= 48',
        '5*x1 + 14*x5 >= 39',
        '5*x1 + 13*x4 >= 25',
        '5*x1 + 14*x2 >= 43',
        '14*x2 + 14*x5 >= 32',
        '11*x0 + 5*x1 + 14*x2 + 6*x3 + 13*x4 + 14*x5 >= 37',
        '2*x1 - 4*x3 >= 0',
        '13*x1 + 2*x2 + 4*x3 <= 88',
        '2*x2 + 2*x4 + 11*x5 <= 33',
        '13*x1 + 4*x3 + 2*x4 <= 53',
        '2*x2 + 4*x3 + 2*x4 <= 29',
        '13*x1 + 2*x4 + 11*x5 <= 79',
        '4*x3 + 2*x4 + 11*x5 <= 97',
        '14*x0 + 4*x3 + 2*x4 <= 43',
        '13*x1 + 2*x2 + 2*x4 <= 25',
        '14*x0 + 13*x1 + 2*x2 <= 99',
        '14*x0 + 13*x1 + 2*x4 <= 51',
        '2*x2 + 4*x3 + 11*x5 <= 44',
        '13*x1 + 2*x2 + 11*x5 <= 35',
        '13*x1 + 4*x3 + 11*x5 <= 82',
        '5*x1 + 13*x4 <= 369',
        '11*x0 + 14*x2 + 13*x4 <= 386',
        '11*x0 + 13*x4 + 14*x5 <= 371',
        '11*x0 + 5*x1 + 14*x2 <= 258',
        '14*x2 + 6*x3 + 13*x4 <= 276',
        '11*x0 + 6*x3 + 13*x4 <= 194'
    ]
}
```

## 6: Gurobi Code
```python
import gurobi

def optimization_problem():
    # Create a new model
    model = gurobi.Model()

    # Define variables
    x0 = model.addVar(name="peanutbutter_sandwiches", lb=0)
    x1 = model.addVar(name="oreos", lb=0)
    x2 = model.addVar(name="kiwis", lb=0)
    x3 = model.addVar(name="fruit_salads", lb=0)
    x4 = model.addVar(name="milkshakes", lb=0)
    x5 = model.addVar(name="eggs", lb=0)

    # Objective function
    model.setObjective(4.47*x0 + 7.12*x1 + 3.96*x2 + 7.26*x3 + 9.54*x4 + 7.14*x5, gurobi.GRB.MINIMIZE)

    # Constraints
    model.addConstr(14*x0 + 4*x3 >= 12)
    model.addConstr(2*x2 + 2*x4 >= 15)
    model.addConstr(2*x2 + 4*x3 >= 9)
    model.addConstr(14*x0 + 2*x2 >= 8)
    model.addConstr(4*x3 + 11*x5 >= 6)
    model.addConstr(14*x0 + 2*x4 >= 5)
    model.addConstr(13*x1 + 4*x3 >= 5)
    model.addConstr(14*x0 + 11*x5 >= 14)
    model.addConstr(4*x3 + 2*x4 >= 6)
    model.addConstr(13*x1 + 2*x4 >= 15)
    model.addConstr(13*x1 + 2*x4 + 11*x5 >= 15)
    model.addConstr(14*x0 + 13*x1 + 2*x2 + 4*x3 + 2*x4 + 11*x5 >= 15)
    model.addConstr(14*x2 + 6*x3 + 13*x4 >= 50)
    model.addConstr(6*x3 + 14*x5 >= 49)
    model.addConstr(11*x0 + 6*x3 >= 57)
    model.addConstr(14*x2 + 6*x3 >= 21)
    model.addConstr(13*x4 + 14*x5 >= 48)
    model.addConstr(5*x1 + 14*x5 >= 39)
    model.addConstr(5*x1 + 13*x4 >= 25)
    model.addConstr(5*x1 + 14*x2 >= 43)
    model.addConstr(14*x2 + 14*x5 >= 32)
    model.addConstr(11*x0 + 5*x1 + 14*x2 + 6*x3 + 13*x4 + 14*x5 >= 37)
    model.addConstr(2*x1 - 4*x3 >= 0)
    model.addConstr(13*x1 + 2*x2 + 4*x3 <= 88)
    model.addConstr(2*x2 + 2*x4 + 11*x5 <= 33)
    model.addConstr(13*x1 + 4*x3 + 2*x4 <= 53)
    model.addConstr(2*x2 + 4*x3 + 2*x4 <= 29)
    model.addConstr(13*x1 + 2*x4 + 11*x5 <= 79)
    model.addConstr(4*x3 + 2*x4 + 11*x5 <= 97)
    model.addConstr(14*x0 + 4*x3 + 2*x4 <= 43)
    model.addConstr(13*x1 + 2*x2 + 2*x4 <= 25)
    model.addConstr(14*x0 + 13*x1 + 2*x2 <= 99)
    model.addConstr(14*x0 + 13*x1 + 2*x4 <= 51)
    model.addConstr(2*x2 + 4*x3 + 11*x5 <= 44)
    model.addConstr(13*x1 + 2*x2 + 11*x5 <= 35)
    model.addConstr(13*x1 + 4*x3 + 11*x5 <= 82)
    model.addConstr(5*x1 + 13*x4 <= 369)
    model.addConstr(11*x0 + 14*x2 + 13*x4 <= 386)
    model.addConstr(11*x0 + 13*x4 + 14*x5 <= 371)
    model.addConstr(11*x0 + 5*x1 + 14*x2 <= 258)
    model.addConstr(14*x2 + 6*x3 + 13*x4 <= 276)
    model.addConstr(11*x0 + 6*x3 + 13*x4 <= 194)

    # Solve the model
    model.optimize()

    # Print the solution
    if model.status == gurobi.GRB.OPTIMAL:
        print("Objective: ", model.objVal)
        print("peanutbutter sandwiches: ", x0.varValue)
        print("oreos: ", x1.varValue)
        print("kiwis: ", x2.varValue)
        print("fruit salads: ", x3.varValue)
        print("milkshakes: ", x4.varValue)
        print("eggs: ", x5.varValue)
    else:
        print("No optimal solution found")

optimization_problem()
```