## Step 1: Define the symbolic representation of the problem
The problem involves maximizing an objective function subject to several constraints. The variables are 'green beans', 'protein bars', and 'cornichons', which we will denote as $x_0$, $x_1$, and $x_2$ respectively.

## Step 2: Specify the objective function
The objective function to maximize is $4.82x_0 + 2.3x_1 + 7.85x_2$.

## Step 3: List the constraints
The constraints are:
1. $23x_0 + 21x_1 + 21x_2 \geq 62$ (at least 62 grams of fat)
2. $21x_0 + x_1 \geq 49$ (total protein from green beans and protein bars)
3. $x_1 + 31x_2 \geq 41$ (total protein from protein bars and cornichons)
4. $21x_0 + x_1 + 31x_2 \geq 37$ (total protein from all)
5. $22x_1 + 29x_2 \geq 98$ (umami index from protein bars and cornichons)
6. $13x_0 + 22x_1 \geq 65$ (umami index from green beans and protein bars)
7. $13x_0 + 22x_1 + 29x_2 \geq 78$ (total umami index)
8. $5x_1 + 16x_2 \geq 59$ (calcium from protein bars and cornichons)
9. $11x_0 + 16x_2 \geq 95$ (calcium from green beans and cornichons)
10. $11x_0 + 5x_1 \geq 129$ (calcium from green beans and protein bars)
11. $23x_0 + 21x_1 \leq 128$ (fat from green beans and protein bars)
12. $23x_0 + 21x_2 \leq 201$ (fat from green beans and cornichons)
13. $21x_1 + 21x_2 \leq 191$ (fat from protein bars and cornichons)
14. $23x_0 + 21x_1 + 21x_2 \leq 191$ (total fat)
15. $21x_0 + x_1 \leq 120$ (protein from green beans and protein bars)
16. $x_1 + 31x_2 \leq 72$ (protein from protein bars and cornichons)
17. $21x_0 + x_1 + 31x_2 \leq 102$ (total protein)
18. $27x_0 + 28x_1 \leq 215$ (carbohydrates from green beans and protein bars)
19. $28x_1 + 16x_2 \leq 339$ (carbohydrates from protein bars and cornichons)
20. $27x_0 + 16x_2 \leq 258$ (carbohydrates from green beans and cornichons)
21. $27x_0 + 28x_1 + 16x_2 \leq 328$ (total carbohydrates)
22. $22x_1 + 29x_2 \leq 383$ (umami index from protein bars and cornichons)
23. $13x_0 + 29x_2 \leq 182$ (umami index from green beans and cornichons)
24. $13x_0 + 22x_1 + 29x_2 \leq 182$ (total umami index)
25. $11x_0 + 5x_1 \leq 175$ (calcium from green beans and protein bars)
26. $11x_0 + 5x_1 + 16x_2 \leq 175$ (calcium from all)

## 4: Define the symbolic representation
The symbolic representation is:
```json
{
    'sym_variables': [('x0', 'green beans'), ('x1', 'protein bars'), ('x2', 'cornichons')],
    'objective_function': '4.82*x0 + 2.3*x1 + 7.85*x2',
    'constraints': [
        '23*x0 + 21*x1 + 21*x2 >= 62',
        '21*x0 + x1 >= 49',
        'x1 + 31*x2 >= 41',
        '21*x0 + x1 + 31*x2 >= 37',
        '22*x1 + 29*x2 >= 98',
        '13*x0 + 22*x1 >= 65',
        '13*x0 + 22*x1 + 29*x2 >= 78',
        '5*x1 + 16*x2 >= 59',
        '11*x0 + 16*x2 >= 95',
        '11*x0 + 5*x1 >= 129',
        '23*x0 + 21*x1 <= 128',
        '23*x0 + 21*x2 <= 201',
        '21*x1 + 21*x2 <= 191',
        '23*x0 + 21*x1 + 21*x2 <= 191',
        '21*x0 + x1 <= 120',
        'x1 + 31*x2 <= 72',
        '21*x0 + x1 + 31*x2 <= 102',
        '27*x0 + 28*x1 <= 215',
        '28*x1 + 16*x2 <= 339',
        '27*x0 + 16*x2 <= 258',
        '27*x0 + 28*x1 + 16*x2 <= 328',
        '22*x1 + 29*x2 <= 383',
        '13*x0 + 29*x2 <= 182',
        '13*x0 + 22*x1 + 29*x2 <= 182',
        '11*x0 + 5*x1 <= 175',
        '11*x0 + 5*x1 + 16*x2 <= 175'
    ]
}
```

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

# Define the model
m = gurobi.Model()

# Define the variables
x0 = m.addVar(name='green_beans', vtype=gurobi.GRB.INTEGER)
x1 = m.addVar(name='protein_bars', vtype=gurobi.GRB.INTEGER)
x2 = m.addVar(name='cornichons', vtype=gurobi.GRB.INTEGER)

# Define the objective function
m.setObjective(4.82 * x0 + 2.3 * x1 + 7.85 * x2, gurobi.GRB.MAXIMIZE)

# Add constraints
m.addConstr(23 * x0 + 21 * x1 + 21 * x2 >= 62)
m.addConstr(21 * x0 + x1 >= 49)
m.addConstr(x1 + 31 * x2 >= 41)
m.addConstr(21 * x0 + x1 + 31 * x2 >= 37)
m.addConstr(22 * x1 + 29 * x2 >= 98)
m.addConstr(13 * x0 + 22 * x1 >= 65)
m.addConstr(13 * x0 + 22 * x1 + 29 * x2 >= 78)
m.addConstr(5 * x1 + 16 * x2 >= 59)
m.addConstr(11 * x0 + 16 * x2 >= 95)
m.addConstr(11 * x0 + 5 * x1 >= 129)
m.addConstr(23 * x0 + 21 * x1 <= 128)
m.addConstr(23 * x0 + 21 * x2 <= 201)
m.addConstr(21 * x1 + 21 * x2 <= 191)
m.addConstr(23 * x0 + 21 * x1 + 21 * x2 <= 191)
m.addConstr(21 * x0 + x1 <= 120)
m.addConstr(x1 + 31 * x2 <= 72)
m.addConstr(21 * x0 + x1 + 31 * x2 <= 102)
m.addConstr(27 * x0 + 28 * x1 <= 215)
m.addConstr(28 * x1 + 16 * x2 <= 339)
m.addConstr(27 * x0 + 16 * x2 <= 258)
m.addConstr(27 * x0 + 28 * x1 + 16 * x2 <= 328)
m.addConstr(22 * x1 + 29 * x2 <= 383)
m.addConstr(13 * x0 + 29 * x2 <= 182)
m.addConstr(13 * x0 + 22 * x1 + 29 * x2 <= 182)
m.addConstr(11 * x0 + 5 * x1 <= 175)
m.addConstr(11 * x0 + 5 * x1 + 16 * x2 <= 175)

# Solve the model
m.optimize()

# Print the solution
if m.status == gurobi.GRB.OPTIMAL:
    print('Objective: ', m.objVal)
    print('Green beans: ', x0.varValue)
    print('Protein bars: ', x1.varValue)
    print('Cornichons: ', x2.varValue)
else:
    print('No optimal solution found')
```