## Step 1: Define the symbolic representation of the variables
The variables are ['ham sandwiches', 'protein bars', 'rotisserie chickens', 'oreos'], which can be represented symbolically as ['x1', 'x2', 'x3', 'x4'].

## Step 2: Create a dictionary mapping symbolic variables to their natural language counterparts
The symbolic variables and their corresponding natural language objects are:
- x1: ham sandwiches
- x2: protein bars
- x3: rotisserie chickens
- x4: oreos

## Step 3: Define the objective function in symbolic notation
The objective function to maximize is: $4.35x_1 + 4.6x_2 + 5.73x_3 + 2.05x_4$.

## Step 4: List all the constraints in symbolic notation
Constraints:
1. $14x_1 + 6x_3 + 11x_4 \geq 34$
2. $14x_1 + 17x_2 + 6x_3 \geq 34$
3. $14x_1 + 6x_3 + 11x_4 \geq 45$
4. $14x_1 + 17x_2 + 6x_3 \geq 45$
5. $2x_1 + 18x_2 \geq 20$
6. $18x_2 + 7x_4 \geq 24$
7. $11x_3 + 7x_4 \geq 20$
8. $2x_1 + 11x_3 + 7x_4 \geq 25$
9. $2x_1 + 18x_2 + 11x_3 \geq 25$
10. $2x_1 + 11x_3 + 7x_4 \geq 27$
11. $2x_1 + 18x_2 + 11x_3 \geq 27$
12. $2x_1 + 6x_3 + x_4 \geq 37$
13. $14x_2 + 6x_3 + x_4 \geq 37$
14. $2x_1 + 6x_3 + x_4 \geq 35$
15. $14x_2 + 6x_3 + x_4 \geq 35$
16. $2x_1 + 3x_2 + 7x_4 \geq 41$
17. $2x_1 + 4x_3 + 7x_4 \geq 41$
18. $3x_2 + 4x_3 + 7x_4 \geq 41$
19. $2x_1 + 3x_2 + 7x_4 \geq 24$
20. $2x_1 + 4x_3 + 7x_4 \geq 24$
21. $3x_2 + 4x_3 + 7x_4 \geq 24$
22. $2x_1 + 3x_2 + 7x_4 \geq 42$
23. $2x_1 + 4x_3 + 7x_4 \geq 42$
24. $3x_2 + 4x_3 + 7x_4 \geq 42$
25. $14x_1 + 17x_2 \leq 205$
26. $14x_1 + 11x_4 \leq 216$
27. $17x_2 + 11x_4 \leq 123$
28. $17x_2 + 6x_3 + 11x_4 \leq 180$
29. $14x_1 + 17x_2 + 6x_3 + 11x_4 \leq 180$
30. $2x_1 + 7x_4 \leq 58$
31. $18x_2 + 11x_3 \leq 66$
32. $2x_1 + 18x_2 + 11x_3 + 7x_4 \leq 66$
33. $6x_3 + x_4 \leq 262$
34. $14x_2 + x_4 \leq 273$
35. $2x_1 + x_4 \leq 211$
36. $2x_1 + 6x_3 + x_4 \leq 126$
37. $2x_1 + 18x_2 + 6x_3 + x_4 \leq 126$
38. $2x_1 + 4x_3 \leq 163$
39. $2x_1 + 7x_4 \leq 43$
40. $2x_1 + 4x_3 + 7x_4 \leq 50$
41. $3x_2 + 4x_3 + 7x_4 \leq 102$
42. $2x_1 + 3x_2 + 7x_4 \leq 118$
43. $2x_1 + 3x_2 + 4x_3 + 7x_4 \leq 118$

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

# Define the model
m = gurobi.Model()

# Define the variables
x1 = m.addVar(name="ham_sandwiches", lb=0)
x2 = m.addVar(name="protein_bars", lb=0)
x3 = m.addVar(name="rotisserie_chickens", lb=0)
x4 = m.addVar(name="oreos", lb=0)

# Define the objective function
m.setObjective(4.35 * x1 + 4.6 * x2 + 5.73 * x3 + 2.05 * x4, gurobi.GRB.MAXIMIZE)

# Add constraints
m.addConstr(14 * x1 + 6 * x3 + 11 * x4 >= 34)
m.addConstr(14 * x1 + 17 * x2 + 6 * x3 >= 34)
m.addConstr(14 * x1 + 6 * x3 + 11 * x4 >= 45)
m.addConstr(14 * x1 + 17 * x2 + 6 * x3 >= 45)
m.addConstr(2 * x1 + 18 * x2 >= 20)
m.addConstr(18 * x2 + 7 * x4 >= 24)
m.addConstr(11 * x3 + 7 * x4 >= 20)
m.addConstr(2 * x1 + 11 * x3 + 7 * x4 >= 25)
m.addConstr(2 * x1 + 18 * x2 + 11 * x3 >= 25)
m.addConstr(2 * x1 + 11 * x3 + 7 * x4 >= 27)
m.addConstr(2 * x1 + 18 * x2 + 11 * x3 >= 27)
m.addConstr(2 * x1 + 6 * x3 + x4 >= 37)
m.addConstr(14 * x2 + 6 * x3 + x4 >= 37)
m.addConstr(2 * x1 + 6 * x3 + x4 >= 35)
m.addConstr(14 * x2 + 6 * x3 + x4 >= 35)
m.addConstr(2 * x1 + 3 * x2 + 7 * x4 >= 41)
m.addConstr(2 * x1 + 4 * x3 + 7 * x4 >= 41)
m.addConstr(3 * x2 + 4 * x3 + 7 * x4 >= 41)
m.addConstr(2 * x1 + 3 * x2 + 7 * x4 >= 24)
m.addConstr(2 * x1 + 4 * x3 + 7 * x4 >= 24)
m.addConstr(3 * x2 + 4 * x3 + 7 * x4 >= 24)
m.addConstr(2 * x1 + 3 * x2 + 7 * x4 >= 42)
m.addConstr(2 * x1 + 4 * x3 + 7 * x4 >= 42)
m.addConstr(3 * x2 + 4 * x3 + 7 * x4 >= 42)
m.addConstr(14 * x1 + 17 * x2 <= 205)
m.addConstr(14 * x1 + 11 * x4 <= 216)
m.addConstr(17 * x2 + 11 * x4 <= 123)
m.addConstr(17 * x2 + 6 * x3 + 11 * x4 <= 180)
m.addConstr(14 * x1 + 17 * x2 + 6 * x3 + 11 * x4 <= 180)
m.addConstr(2 * x1 + 7 * x4 <= 58)
m.addConstr(18 * x2 + 11 * x3 <= 66)
m.addConstr(2 * x1 + 18 * x2 + 11 * x3 + 7 * x4 <= 66)
m.addConstr(6 * x3 + x4 <= 262)
m.addConstr(14 * x2 + x4 <= 273)
m.addConstr(2 * x1 + x4 <= 211)
m.addConstr(2 * x1 + 6 * x3 + x4 <= 126)
m.addConstr(2 * x1 + 18 * x2 + 6 * x3 + x4 <= 126)
m.addConstr(2 * x1 + 4 * x3 <= 163)
m.addConstr(2 * x1 + 7 * x4 <= 43)
m.addConstr(2 * x1 + 4 * x3 + 7 * x4 <= 50)
m.addConstr(3 * x2 + 4 * x3 + 7 * x4 <= 102)
m.addConstr(2 * x1 + 3 * x2 + 7 * x4 <= 118)
m.addConstr(2 * x1 + 3 * x2 + 4 * x3 + 7 * x4 <= 118)

# Solve the model
m.optimize()

# Print the solution
if m.status == gurobi.GRB.OPTIMAL:
    print("Objective: ", m.objVal)
    print("Ham sandwiches: ", x1.varValue)
    print("Protein bars: ", x2.varValue)
    print("Rotisserie chickens: ", x3.varValue)
    print("Oreos: ", x4.varValue)
else:
    print("The model is infeasible")
```

## 6: Symbolic representation of the problem
```json
{
    'sym_variables': [
        ('x1', 'ham sandwiches'), 
        ('x2', 'protein bars'), 
        ('x3', 'rotisserie chickens'), 
        ('x4', 'oreos')
    ], 
    'objective_function': '4.35x1 + 4.6x2 + 5.73x3 + 2.05x4', 
    'constraints': [
        '14x1 + 6x3 + 11x4 >= 34',
        '14x1 + 17x2 + 6x3 >= 34',
        '14x1 + 6x3 + 11x4 >= 45',
        '14x1 + 17x2 + 6x3 >= 45',
        '2x1 + 18x2 >= 20',
        '18x2 + 7x4 >= 24',
        '11x3 + 7x4 >= 20',
        '2x1 + 11x3 + 7x4 >= 25',
        '2x1 + 18x2 + 11x3 >= 25',
        '2x1 + 11x3 + 7x4 >= 27',
        '2x1 + 18x2 + 11x3 >= 27',
        '2x1 + 6x3 + x4 >= 37',
        '14x2 + 6x3 + x4 >= 37',
        '2x1 + 6x3 + x4 >= 35',
        '14x2 + 6x3 + x4 >= 35',
        '2x1 + 3x2 + 7x4 >= 41',
        '2x1 + 4x3 + 7x4 >= 41',
        '3x2 + 4x3 + 7x4 >= 41',
        '2x1 + 3x2 + 7x4 >= 24',
        '2x1 + 4x3 + 7x4 >= 24',
        '3x2 + 4x3 + 7x4 >= 24',
        '2x1 + 3x2 + 7x4 >= 42',
        '2x1 + 4x3 + 7x4 >= 42',
        '3x2 + 4x3 + 7x4 >= 42',
        '14x1 + 17x2 <= 205',
        '14x1 + 11x4 <= 216',
        '17x2 + 11x4 <= 123',
        '17x2 + 6x3 + 11x4 <= 180',
        '14x1 + 17x2 + 6x3 + 11x4 <= 180',
        '2x1 + 7x4 <= 58',
        '18x2 + 11x3 <= 66',
        '2x1 + 18x2 + 11x3 + 7x4 <= 66',
        '6x3 + x4 <= 262',
        '14x2 + x4 <= 273',
        '2x1 + x4 <= 211',
        '2x1 + 6x3 + x4 <= 126',
        '2x1 + 18x2 + 6x3 + x4 <= 126',
        '2x1 + 4x3 <= 163',
        '2x1 + 7x4 <= 43',
        '2x1 + 4x3 + 7x4 <= 50',
        '3x2 + 4x3 + 7x4 <= 102',
        '2x1 + 3x2 + 7x4 <= 118',
        '2x1 + 3x2 + 4x3 + 7x4 <= 118'
    ]
}
```