## Step 1: Define the symbolic representation of the variables
The variables are 'slices of pizza', 'strawberries', 'cheeseburgers', 'pickles' which can be represented symbolically as $x_0, x_1, x_2, x_3$ respectively.

## Step 2: Convert the objective function into symbolic notation
The objective function to maximize is $7x_0 + 4x_1 + 3x_2 + 7x_3$.

## Step 3: List the constraints in symbolic notation
The constraints given are:
- $3x_1 + 6x_2 \geq 22$
- $3x_1 + 3x_3 \geq 14$
- $11x_0 + 3x_3 \geq 18$
- $11x_0 + 6x_2 \geq 11$
- $6x_2 + 3x_3 \geq 22$
- $11x_0 + 6x_2 + 3x_3 \geq 24$
- $11x_0 + 3x_1 + 6x_2 \geq 24$
- $3x_1 + 6x_2 + 3x_3 \geq 24$
- $11x_0 + 6x_2 + 3x_3 \geq 18$
- $11x_0 + 3x_1 + 6x_2 \geq 18$
- $3x_1 + 6x_2 + 3x_3 \geq 18$
- $11x_0 + 6x_2 + 3x_3 \geq 20$
- $11x_0 + 3x_1 + 6x_2 \geq 20$
- $3x_1 + 6x_2 + 3x_3 \geq 20$
- $3x_1 + 3x_3 \leq 121$
- $3x_1 + 6x_2 \leq 111$
- $11x_0 + 3x_1 \leq 47$
- $11x_0 + 3x_3 \leq 115$
- $6x_2 + 3x_3 \leq 30$
- $11x_0 + 6x_2 \leq 54$
- $11x_0 + 3x_1 + 6x_2 \leq 94$
- $11x_0 + 3x_1 + 6x_2 + 3x_3 \leq 94$
- $3x_1 + 6x_2 \leq 51$
- $11x_0 + 6x_3 \leq 58$
- $3x_1 + 6x_2 + 6x_3 \leq 29$
- $11x_0 + 3x_1 + 6x_2 + 6x_3 \leq 29$

## 4: Define the resource constraints
- $x_0, x_1, x_2, x_3$ are bounded by:
  - $r_0: 11x_0 + 3x_1 + 6x_2 + 3x_3 \leq 122$
  - $r_1: x_0 + 3x_1 + 7x_2 + 6x_3 \leq 80$

## 5: Provide the symbolic representation of the problem
```json
{
    'sym_variables': [('x0', 'slices of pizza'), ('x1', 'strawberries'), ('x2', 'cheeseburgers'), ('x3', 'pickles')],
    'objective_function': 'Maximize: 7*x0 + 4*x1 + 3*x2 + 7*x3',
    'constraints': [
        '3*x1 + 6*x2 >= 22',
        '3*x1 + 3*x3 >= 14',
        '11*x0 + 3*x3 >= 18',
        '11*x0 + 6*x2 >= 11',
        '6*x2 + 3*x3 >= 22',
        '11*x0 + 6*x2 + 3*x3 >= 24',
        '11*x0 + 3*x1 + 6*x2 >= 24',
        '3*x1 + 6*x2 + 3*x3 >= 24',
        '11*x0 + 6*x2 + 3*x3 >= 18',
        '11*x0 + 3*x1 + 6*x2 >= 18',
        '3*x1 + 6*x2 + 3*x3 >= 18',
        '11*x0 + 6*x2 + 3*x3 >= 20',
        '11*x0 + 3*x1 + 6*x2 >= 20',
        '3*x1 + 6*x2 + 3*x3 >= 20',
        '3*x1 + 3*x3 <= 121',
        '3*x1 + 6*x2 <= 111',
        '11*x0 + 3*x1 <= 47',
        '11*x0 + 3*x3 <= 115',
        '6*x2 + 3*x3 <= 30',
        '11*x0 + 6*x2 <= 54',
        '11*x0 + 3*x1 + 6*x2 <= 94',
        '11*x0 + 3*x1 + 6*x2 + 3*x3 <= 94',
        '3*x1 + 6*x2 <= 51',
        '11*x0 + 6*x3 <= 58',
        '3*x1 + 6*x2 + 6*x3 <= 29',
        '11*x0 + 3*x1 + 6*x2 + 6*x3 <= 29',
        '11*x0 + 3*x1 + 6*x2 + 3*x3 <= 122',
        'x0 + 3*x1 + 7*x2 + 6*x3 <= 80'
    ]
}
```

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

def optimize_problem():
    model = gurobi.Model()

    # Define variables
    x0 = model.addVar(name="x0", lb=0, ub=None)  # slices of pizza
    x1 = model.addVar(name="x1", lb=0, ub=None)  # strawberries
    x2 = model.addVar(name="x2", lb=0, ub=None)  # cheeseburgers
    x3 = model.addVar(name="x3", lb=0, ub=None)  # pickles

    # Objective function
    model.setObjective(7 * x0 + 4 * x1 + 3 * x2 + 7 * x3, gurobi.GRB.MAXIMIZE)

    # Constraints
    model.addConstr(3 * x1 + 6 * x2 >= 22)
    model.addConstr(3 * x1 + 3 * x3 >= 14)
    model.addConstr(11 * x0 + 3 * x3 >= 18)
    model.addConstr(11 * x0 + 6 * x2 >= 11)
    model.addConstr(6 * x2 + 3 * x3 >= 22)
    model.addConstr(11 * x0 + 6 * x2 + 3 * x3 >= 24)
    model.addConstr(11 * x0 + 3 * x1 + 6 * x2 >= 24)
    model.addConstr(3 * x1 + 6 * x2 + 3 * x3 >= 24)
    model.addConstr(11 * x0 + 6 * x2 + 3 * x3 >= 18)
    model.addConstr(11 * x0 + 3 * x1 + 6 * x2 >= 18)
    model.addConstr(3 * x1 + 6 * x2 + 3 * x3 >= 18)
    model.addConstr(11 * x0 + 6 * x2 + 3 * x3 >= 20)
    model.addConstr(11 * x0 + 3 * x1 + 6 * x2 >= 20)
    model.addConstr(3 * x1 + 6 * x2 + 3 * x3 >= 20)
    model.addConstr(3 * x1 + 3 * x3 <= 121)
    model.addConstr(3 * x1 + 6 * x2 <= 111)
    model.addConstr(11 * x0 + 3 * x1 <= 47)
    model.addConstr(11 * x0 + 3 * x3 <= 115)
    model.addConstr(6 * x2 + 3 * x3 <= 30)
    model.addConstr(11 * x0 + 6 * x2 <= 54)
    model.addConstr(11 * x0 + 3 * x1 + 6 * x2 <= 94)
    model.addConstr(11 * x0 + 3 * x1 + 6 * x2 + 3 * x3 <= 94)
    model.addConstr(3 * x1 + 6 * x2 <= 51)
    model.addConstr(11 * x0 + 6 * x3 <= 58)
    model.addConstr(3 * x1 + 6 * x2 + 6 * x3 <= 29)
    model.addConstr(11 * x0 + 3 * x1 + 6 * x2 + 6 * x3 <= 29)
    model.addConstr(11 * x0 + 3 * x1 + 6 * x2 + 3 * x3 <= 122)
    model.addConstr(x0 + 3 * x1 + 7 * x2 + 6 * x3 <= 80)

    # Solve the model
    model.optimize()

    # Print the solution
    if model.status == gurobi.GRB.OPTIMAL:
        print("Objective: ", model.objVal)
        print("x0 (slices of pizza): ", x0.varValue)
        print("x1 (strawberries): ", x1.varValue)
        print("x2 (cheeseburgers): ", x2.varValue)
        print("x3 (pickles): ", x3.varValue)
    else:
        print("The model is infeasible")

optimize_problem()
```