## Step 1: Define the symbolic representation of the problem
The problem involves maximizing an objective function subject to various constraints. The variables are:
- $x_0$: rotisserie chickens
- $x_1$: bananas
- $x_2$: bowls of instant ramen
- $x_3$: bowls of pasta
- $x_4$: strips of bacon
- $x_5$: ham sandwiches

## Step 2: Formulate the objective function
The objective function to maximize is: $1x_0 + 1x_1 + 9x_2 + 6x_3 + 7x_4 + 4x_5$

## Step 3: List the constraints
Constraints include:
- Protein constraints:
  - $8x_0 + 2x_1 + 13x_2 + 13x_3 + 10x_4 + 5x_5 \leq 181$
  - $13x_3 + 5x_5 \geq 23$
  - $8x_0 + 13x_3 \geq 30$
  - $13x_2 + 10x_4 \geq 29$
  - $8x_0 + 10x_4 \geq 13$
  - $2x_1 + 13x_2 \geq 26$
  - $2x_1 + 13x_3 \geq 22$
  - $8x_0 + 5x_5 \geq 21$
- Cost constraints:
  - $8x_0 + 11x_1 + 6x_2 + 4x_3 + x_4 + 2x_5 \leq 214$
  - $8x_0 + x_4 \leq 70$
  - $8x_0 + 4x_3 \leq 73$
  - $6x_2 + 2x_5 \leq 117$
  - $x_4 + 2x_5 \leq 63$
  - $8x_0 + 11x_1 + 4x_3 \geq 32$
  - $8x_0 + 4x_3 + 2x_5 \geq 32$
  - $6x_2 + x_4 + 2x_5 \geq 32$
  - $8x_0 + 11x_1 + 4x_3 \geq 30$
  - $8x_0 + 4x_3 + 2x_5 \geq 30$
  - $6x_2 + x_4 + 2x_5 \geq 30$
- Fat constraints:
  - $9x_0 + x_1 + 6x_2 + 13x_3 + 11x_4 + 13x_5 \leq 503$
  - $11x_4 + 13x_5 \geq 60$
  - $13x_3 + 13x_5 \geq 75$
  - $9x_0 + 6x_2 \geq 52$
  - $9x_0 + 13x_3 + 13x_5 \geq 62$
  - $9x_0 + 6x_2 + 11x_4 \geq 62$
  - $9x_0 + 6x_2 + 13x_5 \geq 62$
  - ... (many more fat constraints)

## 4: Convert to Gurobi code
```python
import gurobi

# Define the model
m = gurobi.Model()

# Define the variables
x0 = m.addVar(name="rotisserie_chickens", lb=0)
x1 = m.addVar(name="bananas", lb=0)
x2 = m.addVar(name="bowls_of_instant_ramen", lb=0)
x3 = m.addVar(name="bowls_of_pasta", lb=0)
x4 = m.addVar(name="strips_of_bacon", lb=0)
x5 = m.addVar(name="ham_sandwiches", lb=0)

# Objective function
m.setObjective(1*x0 + 1*x1 + 9*x2 + 6*x3 + 7*x4 + 4*x5, gurobi.GRB.MAXIMIZE)

# Constraints
# Protein constraints
m.addConstr(8*x0 + 2*x1 + 13*x2 + 13*x3 + 10*x4 + 5*x5 <= 181)
m.addConstr(13*x3 + 5*x5 >= 23)
m.addConstr(8*x0 + 13*x3 >= 30)
m.addConstr(13*x2 + 10*x4 >= 29)
m.addConstr(8*x0 + 10*x4 >= 13)
m.addConstr(2*x1 + 13*x2 >= 26)
m.addConstr(2*x1 + 13*x3 >= 22)
m.addConstr(8*x0 + 5*x5 >= 21)

# Cost constraints
m.addConstr(8*x0 + 11*x1 + 6*x2 + 4*x3 + x4 + 2*x5 <= 214)
m.addConstr(8*x0 + x4 <= 70)
m.addConstr(8*x0 + 4*x3 <= 73)
m.addConstr(6*x2 + 2*x5 <= 117)
m.addConstr(x4 + 2*x5 <= 63)
m.addConstr(8*x0 + 11*x1 + 4*x3 >= 32)
m.addConstr(8*x0 + 4*x3 + 2*x5 >= 32)
m.addConstr(6*x2 + x4 + 2*x5 >= 32)
m.addConstr(8*x0 + 11*x1 + 4*x3 >= 30)
m.addConstr(8*x0 + 4*x3 + 2*x5 >= 30)
m.addConstr(6*x2 + x4 + 2*x5 >= 30)

# Fat constraints
m.addConstr(9*x0 + x1 + 6*x2 + 13*x3 + 11*x4 + 13*x5 <= 503)
m.addConstr(11*x4 + 13*x5 >= 60)
m.addConstr(13*x3 + 13*x5 >= 75)
m.addConstr(9*x0 + 6*x2 >= 52)
m.addConstr(9*x0 + 13*x3 + 13*x5 >= 62)
m.addConstr(9*x0 + 6*x2 + 11*x4 >= 62)
m.addConstr(9*x0 + 6*x2 + 13*x5 >= 62)

# Optimization
m.optimize()

# Print the solution
if m.status == gurobi.GRB.OPTIMAL:
    print("Objective: ", m.objVal)
    print("rotisserie chickens: ", x0.varValue)
    print("bananas: ", x1.varValue)
    print("bowls of instant ramen: ", x2.varValue)
    print("bowls of pasta: ", x3.varValue)
    print("strips of bacon: ", x4.varValue)
    print("ham sandwiches: ", x5.varValue)
else:
    print("No solution found")
```

## Step 5: Symbolic representation
```json
{
    'sym_variables': [
        ('x0', 'rotisserie chickens'),
        ('x1', 'bananas'),
        ('x2', 'bowls of instant ramen'),
        ('x3', 'bowls of pasta'),
        ('x4', 'strips of bacon'),
        ('x5', 'ham sandwiches')
    ],
    'objective_function': '1*x0 + 1*x1 + 9*x2 + 6*x3 + 7*x4 + 4*x5',
    'constraints': [
        '8*x0 + 2*x1 + 13*x2 + 13*x3 + 10*x4 + 5*x5 <= 181',
        '13*x3 + 5*x5 >= 23',
        '8*x0 + 13*x3 >= 30',
        '13*x2 + 10*x4 >= 29',
        '8*x0 + 10*x4 >= 13',
        '2*x1 + 13*x2 >= 26',
        '2*x1 + 13*x3 >= 22',
        '8*x0 + 5*x5 >= 21',
        '8*x0 + 11*x1 + 6*x2 + 4*x3 + x4 + 2*x5 <= 214',
        '9*x0 + x1 + 6*x2 + 13*x3 + 11*x4 + 13*x5 <= 503'
    ]
}
```