## Step 1: Define the symbolic representation of the variables
The variables are defined as follows: 
- $x_1$ represents 'cornichons'
- $x_2$ represents 'fruit salads'
- $x_3$ represents 'slices of pizza'
- $x_4$ represents 'cherry pies'
- $x_5$ represents 'blueberry pies'

## Step 2: Translate the objective function into algebraic terms
The objective function to maximize is: $2.02x_1 + 2.38x_2 + 1.8x_3 + 4.35x_4 + 5.67x_5$

## Step 3: List the constraints
The constraints are:
1. $8x_1 \leq 376$
2. $7x_2 \leq 376$
3. $25x_3 \leq 376$
4. $20x_4 \leq 376$
5. $26x_5 \leq 376$
6. $25x_3 + 26x_5 \geq 28$
7. $8x_1 + 7x_2 + 20x_4 \geq 74$
8. $8x_1 + 25x_3 + 20x_4 \geq 74$
9. $8x_1 + 20x_4 + 26x_5 \geq 74$
10. $25x_3 + 20x_4 + 26x_5 \geq 74$
11. $8x_1 + 7x_2 + 20x_4 \geq 69$
12. $8x_1 + 25x_3 + 20x_4 \geq 69$
13. $8x_1 + 20x_4 + 26x_5 \geq 69$
14. $25x_3 + 20x_4 + 26x_5 \geq 69$
15. $8x_1 + 7x_2 + 20x_4 \geq 75$
16. $8x_1 + 25x_3 + 20x_4 \geq 75$
17. $8x_1 + 20x_4 + 26x_5 \geq 75$
18. $25x_3 + 20x_4 + 26x_5 \geq 75$
19. $8x_1 + 7x_2 + 20x_4 \geq 61$
20. $8x_1 + 25x_3 + 20x_4 \geq 61$
21. $8x_1 + 20x_4 + 26x_5 \geq 61$
22. $25x_3 + 20x_4 + 26x_5 \geq 61$
23. $-7x_3 + 2x_4 + 8x_5 \geq 0$
24. $8x_1 + 7x_2 \leq 241$
25. $8x_1 + 20x_4 \leq 352$
26. $25x_3 + 20x_4 \leq 278$
27. $8x_1 + 25x_3 + 20x_4 \leq 188$
28. $7x_2 + 25x_3 + 20x_4 \leq 336$
29. $8x_1 + 7x_2 + 25x_3 + 20x_4 + 26x_5 \leq 336$

## 4: Create the Gurobi model and variables
We will now create the Gurobi model and variables.

```python
import gurobi

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

# Define the variables
x1 = model.addVar(name="cornichons", lb=0)  # No lower bound specified, assuming 0
x2 = model.addVar(name="fruit_salads", lb=0)  # No lower bound specified, assuming 0
x3 = model.addVar(name="slices_of_pizza", lb=0)  # No lower bound specified, assuming 0
x4 = model.addVar(name="cherry_pies", lb=0)  # No lower bound specified, assuming 0
x5 = model.addVar(name="blueberry_pies", lb=0)  # No lower bound specified, assuming 0

# Objective function
model.setObjective(2.02 * x1 + 2.38 * x2 + 1.8 * x3 + 4.35 * x4 + 5.67 * x5, gurobi.GRB.MAXIMIZE)

# Constraints
model.addConstr(8 * x1 <= 376)
model.addConstr(7 * x2 <= 376)
model.addConstr(25 * x3 <= 376)
model.addConstr(20 * x4 <= 376)
model.addConstr(26 * x5 <= 376)

model.addConstr(25 * x3 + 26 * x5 >= 28)
model.addConstr(8 * x1 + 7 * x2 + 20 * x4 >= 74)
model.addConstr(8 * x1 + 25 * x3 + 20 * x4 >= 74)
model.addConstr(8 * x1 + 20 * x4 + 26 * x5 >= 74)
model.addConstr(25 * x3 + 20 * x4 + 26 * x5 >= 74)

model.addConstr(8 * x1 + 7 * x2 + 20 * x4 >= 69)
model.addConstr(8 * x1 + 25 * x3 + 20 * x4 >= 69)
model.addConstr(8 * x1 + 20 * x4 + 26 * x5 >= 69)
model.addConstr(25 * x3 + 20 * x4 + 26 * x5 >= 69)

model.addConstr(8 * x1 + 7 * x2 + 20 * x4 >= 75)
model.addConstr(8 * x1 + 25 * x3 + 20 * x4 >= 75)
model.addConstr(8 * x1 + 20 * x4 + 26 * x5 >= 75)
model.addConstr(25 * x3 + 20 * x4 + 26 * x5 >= 75)

model.addConstr(8 * x1 + 7 * x2 + 20 * x4 >= 61)
model.addConstr(8 * x1 + 25 * x3 + 20 * x4 >= 61)
model.addConstr(8 * x1 + 20 * x4 + 26 * x5 >= 61)
model.addConstr(25 * x3 + 20 * x4 + 26 * x5 >= 61)

model.addConstr(-7 * x3 + 2 * x4 + 8 * x5 >= 0)

model.addConstr(8 * x1 + 7 * x2 <= 241)
model.addConstr(8 * x1 + 20 * x4 <= 352)
model.addConstr(25 * x3 + 20 * x4 <= 278)
model.addConstr(8 * x1 + 25 * x3 + 20 * x4 <= 188)
model.addConstr(7 * x2 + 25 * x3 + 20 * x4 <= 336)
model.addConstr(8 * x1 + 7 * x2 + 25 * x3 + 20 * x4 + 26 * x5 <= 336)

# Solve the model
model.optimize()

# Print the solution
if model.status == gurobi.GRB.OPTIMAL:
    print("Objective: ", model.objVal)
    print("cornichons: ", x1.varValue)
    print("fruit_salads: ", x2.varValue)
    print("slices_of_pizza: ", x3.varValue)
    print("cherry_pies: ", x4.varValue)
    print("blueberry_pies: ", x5.varValue)
else:
    print("No optimal solution found")
```

## 5: Symbolic representation
The symbolic representation is as follows:
```json
{
    'sym_variables': [
        ('x1', 'cornichons'), 
        ('x2', 'fruit salads'), 
        ('x3', 'slices of pizza'), 
        ('x4', 'cherry pies'), 
        ('x5', 'blueberry pies')
    ], 
    'objective_function': '2.02x1 + 2.38x2 + 1.8x3 + 4.35x4 + 5.67x5', 
    'constraints': [
        '8x1 <= 376',
        '7x2 <= 376',
        '25x3 <= 376',
        '20x4 <= 376',
        '26x5 <= 376',
        '25x3 + 26x5 >= 28',
        '8x1 + 7x2 + 20x4 >= 74',
        '8x1 + 25x3 + 20x4 >= 74',
        '8x1 + 20x4 + 26x5 >= 74',
        '25x3 + 20x4 + 26x5 >= 74',
        '8x1 + 7x2 + 20x4 >= 69',
        '8x1 + 25x3 + 20x4 >= 69',
        '8x1 + 20x4 + 26x5 >= 69',
        '25x3 + 20x4 + 26x5 >= 69',
        '8x1 + 7x2 + 20x4 >= 75',
        '8x1 + 25x3 + 20x4 >= 75',
        '8x1 + 20x4 + 26x5 >= 75',
        '25x3 + 20x4 + 26x5 >= 75',
        '8x1 + 7x2 + 20x4 >= 61',
        '8x1 + 25x3 + 20x4 >= 61',
        '8x1 + 20x4 + 26x5 >= 61',
        '25x3 + 20x4 + 26x5 >= 61',
        '-7x3 + 2x4 + 8x5 >= 0',
        '8x1 + 7x2 <= 241',
        '8x1 + 20x4 <= 352',
        '25x3 + 20x4 <= 278',
        '8x1 + 25x3 + 20x4 <= 188',
        '7x2 + 25x3 + 20x4 <= 336',
        '8x1 + 7x2 + 25x3 + 20x4 + 26x5 <= 336'
    ]
}
```