## Step 1: Define the symbolic representation of the variables
The variables are defined as follows: 
- $x_0$ for 'cornichons'
- $x_1$ for 'apple pies'
- $x_2$ for 'strips of bacon'
- $x_3$ for 'cheeseburgers'

## Step 2: Formulate the objective function
The objective function to maximize is: $2.18x_0 + 4.04x_1 + 4.38x_2 + 6.25x_3$

## Step 3: List all the constraints
The constraints are:
- $5x_0 + 25x_1 + 26x_2 + 11x_3 \leq 692$ (total fat)
- $21x_0 + 32x_1 + 13x_2 + 4x_3 \leq 239$ (total protein)
- $25x_1 + 11x_3 \geq 102$ (fat from apple pies and cheeseburgers)
- $5x_0 + 11x_3 \geq 136$ (fat from cornichons and cheeseburgers)
- $5x_0 + 26x_2 \geq 98$ (fat from cornichons and strips of bacon)
- $25x_1 + 26x_2 \geq 102$ (fat from apple pies and strips of bacon)
- $5x_0 + 26x_2 + 11x_3 \geq 121$ (fat from cornichons, strips of bacon, and cheeseburgers)
- $32x_1 + 4x_3 \geq 59$ (protein from apple pies and cheeseburgers)
- $13x_2 + 4x_3 \geq 46$ (protein from strips of bacon and cheeseburgers)
- $21x_0 + 32x_1 \geq 46$ (protein from cornichons and apple pies)
- $21x_0 + 4x_3 \geq 50$ (protein from cornichons and cheeseburgers)
- $21x_0 + 13x_2 + 4x_3 \geq 41$ (protein from cornichons, strips of bacon, and cheeseburgers)
- $6x_2 - 9x_3 \geq 0$ (relationship between strips of bacon and cheeseburgers)
- $5x_0 + 11x_3 \leq 403$ (fat from cornichons and cheeseburgers)
- $25x_1 + 26x_2 \leq 553$ (fat from apple pies and strips of bacon)
- $5x_0 + 25x_1 \leq 377$ (fat from cornichons and apple pies)
- $25x_1 + 11x_3 \leq 459$ (fat from apple pies and cheeseburgers)
- $26x_2 + 11x_3 \leq 358$ (fat from strips of bacon and cheeseburgers)
- $25x_1 + 26x_2 + 11x_3 \leq 537$ (fat from apple pies, strips of bacon, and cheeseburgers)
- $5x_0 + 25x_1 + 26x_2 + 11x_3 \leq 537$ (total fat)
- $21x_0 + 32x_1 \leq 182$ (protein from cornichons and apple pies)
- $13x_2 + 4x_3 \leq 218$ (protein from strips of bacon and cheeseburgers)
- $21x_0 + 32x_1 + 13x_2 + 4x_3 \leq 218$ (total protein)

## 4: Provide the symbolic representation of the problem
```json
{
    'sym_variables': [
        ('x0', 'cornichons'), 
        ('x1', 'apple pies'), 
        ('x2', 'strips of bacon'), 
        ('x3', 'cheeseburgers')
    ], 
    'objective_function': '2.18*x0 + 4.04*x1 + 4.38*x2 + 6.25*x3', 
    'constraints': [
        '5*x0 + 25*x1 + 26*x2 + 11*x3 <= 692',
        '21*x0 + 32*x1 + 13*x2 + 4*x3 <= 239',
        '25*x1 + 11*x3 >= 102',
        '5*x0 + 11*x3 >= 136',
        '5*x0 + 26*x2 >= 98',
        '25*x1 + 26*x2 >= 102',
        '5*x0 + 26*x2 + 11*x3 >= 121',
        '32*x1 + 4*x3 >= 59',
        '13*x2 + 4*x3 >= 46',
        '21*x0 + 32*x1 >= 46',
        '21*x0 + 4*x3 >= 50',
        '21*x0 + 13*x2 + 4*x3 >= 41',
        '6*x2 - 9*x3 >= 0',
        '5*x0 + 11*x3 <= 403',
        '25*x1 + 26*x2 <= 553',
        '5*x0 + 25*x1 <= 377',
        '25*x1 + 11*x3 <= 459',
        '26*x2 + 11*x3 <= 358',
        '25*x1 + 26*x2 + 11*x3 <= 537',
        '5*x0 + 25*x1 + 26*x2 + 11*x3 <= 537',
        '21*x0 + 32*x1 <= 182',
        '13*x2 + 4*x3 <= 218',
        '21*x0 + 32*x1 + 13*x2 + 4*x3 <= 218'
    ]
}
```

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

# Create a new model
m = gurobi.Model()

# Define the variables
x0 = m.addVar(name="cornichons", lb=0)
x1 = m.addVar(name="apple_pies", lb=0)
x2 = m.addVar(name="strips_of_bacon", lb=0)
x3 = m.addVar(name="cheeseburgers", lb=0)

# Set the objective function
m.setObjective(2.18*x0 + 4.04*x1 + 4.38*x2 + 6.25*x3, gurobi.GRB.MAXIMIZE)

# Add constraints
m.addConstr(5*x0 + 25*x1 + 26*x2 + 11*x3 <= 692)
m.addConstr(21*x0 + 32*x1 + 13*x2 + 4*x3 <= 239)
m.addConstr(25*x1 + 11*x3 >= 102)
m.addConstr(5*x0 + 11*x3 >= 136)
m.addConstr(5*x0 + 26*x2 >= 98)
m.addConstr(25*x1 + 26*x2 >= 102)
m.addConstr(5*x0 + 26*x2 + 11*x3 >= 121)
m.addConstr(32*x1 + 4*x3 >= 59)
m.addConstr(13*x2 + 4*x3 >= 46)
m.addConstr(21*x0 + 32*x1 >= 46)
m.addConstr(21*x0 + 4*x3 >= 50)
m.addConstr(21*x0 + 13*x2 + 4*x3 >= 41)
m.addConstr(6*x2 - 9*x3 >= 0)
m.addConstr(5*x0 + 11*x3 <= 403)
m.addConstr(25*x1 + 26*x2 <= 553)
m.addConstr(5*x0 + 25*x1 <= 377)
m.addConstr(25*x1 + 11*x3 <= 459)
m.addConstr(26*x2 + 11*x3 <= 358)
m.addConstr(25*x1 + 26*x2 + 11*x3 <= 537)
m.addConstr(5*x0 + 25*x1 + 26*x2 + 11*x3 <= 537)
m.addConstr(21*x0 + 32*x1 <= 182)
m.addConstr(13*x2 + 4*x3 <= 218)
m.addConstr(21*x0 + 32*x1 + 13*x2 + 4*x3 <= 218)

# Solve the model
m.optimize()

# Print the solution
if m.status == gurobi.GRB.OPTIMAL:
    print("Objective: ", m.objVal)
    print("cornichons: ", x0.x)
    print("apple_pies: ", x1.x)
    print("strips_of_bacon: ", x2.x)
    print("cheeseburgers: ", x3.x)
else:
    print("The model is infeasible")
```