## Step 1: Define the symbolic representation of the variables
The variables are defined as follows: 
- 'x0': 'hours worked by George'
- 'x1': 'hours worked by Jean'
- 'x2': 'hours worked by Dale'
- 'x3': 'hours worked by Ringo'
- 'x4': 'hours worked by Bill'

## Step 2: Define the objective function in symbolic notation
The objective function to maximize is: 
1 * 'hours worked by George' + 4 * 'hours worked by Jean' + 2 * 'hours worked by Dale' + 4 * 'hours worked by Ringo' + 8 * 'hours worked by Bill'
Which translates to: 
1*x0 + 4*x1 + 2*x2 + 4*x3 + 8*x4

## Step 3: Define the constraints in symbolic notation
Constraints:
- 3.93*x3 + 2.49*x4 >= 18
- 4.64*x2 + 2.49*x4 >= 41
- 1.38*x1 + 3.93*x3 + 2.49*x4 >= 47
- 1.38*x1 + 4.64*x2 + 2.49*x4 >= 47
- 1.38*x1 + 3.93*x3 + 2.49*x4 >= 43
- 1.38*x1 + 4.64*x2 + 2.49*x4 >= 43
- 3.74*x1 + 1.07*x4 >= 12
- 5.04*x0 + 3.74*x1 >= 15
- 3.74*x1 + 5.86*x3 >= 14
- 0.56*x2 + 1.07*x4 >= 14
- 5.04*x0 + 0.56*x2 >= 10
- 5.04*x0 + 0.56*x2 + 1.07*x4 >= 16
- 3.93*x3 + 2.49*x4 <= 129
- 1.29*x0 + 1.38*x1 <= 207
- 4.64*x2 + 3.93*x3 <= 214
- 1.29*x0 + 1.38*x1 + 4.64*x2 + 3.93*x3 + 2.49*x4 <= 214
- 5.04*x0 + 3.74*x1 <= 94
- 3.74*x1 + 1.07*x4 <= 149
- 5.04*x0 + 1.07*x4 <= 86
- 3.74*x1 + 0.56*x2 <= 124
- 5.04*x0 + 5.86*x3 <= 82
- 5.86*x3 + 1.07*x4 <= 84
- 0.56*x2 + 1.07*x4 <= 87
- 5.04*x0 + 3.74*x1 + 0.56*x2 + 5.86*x3 + 1.07*x4 <= 87
- 5.22*x0 + 4.63*x4 <= 27
- 1.67*x1 + 2.74*x3 <= 79
- 1.67*x1 + 3.29*x2 + 4.63*x4 <= 85
- 1.67*x1 + 3.29*x2 + 2.74*x3 <= 45
- 5.22*x0 + 1.67*x1 + 3.29*x2 <= 51
- 5.22*x0 + 2.74*x3 + 4.63*x4 <= 66
- 5.22*x0 + 3.29*x2 + 4.63*x4 <= 54
- 1.67*x1 + 2.74*x3 + 4.63*x4 <= 67
- 5.22*x0 + 1.67*x1 + 2.74*x3 <= 81
- 3.29*x2 + 2.74*x3 + 4.63*x4 <= 42
- 5.22*x0 + 1.67*x1 + 3.29*x2 + 2.74*x3 + 4.63*x4 <= 42

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

```python
import gurobi

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

# Define the variables
x0 = model.addVar(name='x0', lb=0)  # hours worked by George
x1 = model.addVar(name='x1', lb=0)  # hours worked by Jean
x2 = model.addVar(name='x2', lb=0)  # hours worked by Dale
x3 = model.addVar(name='x3', lb=0)  # hours worked by Ringo
x4 = model.addVar(name='x4', lb=0)  # hours worked by Bill

# Define the objective function
model.setObjective(1*x0 + 4*x1 + 2*x2 + 4*x3 + 8*x4, gurobi.GRB.MAXIMIZE)

# Add constraints
model.addConstr(3.93*x3 + 2.49*x4 >= 18)
model.addConstr(4.64*x2 + 2.49*x4 >= 41)
model.addConstr(1.38*x1 + 3.93*x3 + 2.49*x4 >= 47)
model.addConstr(1.38*x1 + 4.64*x2 + 2.49*x4 >= 47)
model.addConstr(1.38*x1 + 3.93*x3 + 2.49*x4 >= 43)
model.addConstr(1.38*x1 + 4.64*x2 + 2.49*x4 >= 43)
model.addConstr(3.74*x1 + 1.07*x4 >= 12)
model.addConstr(5.04*x0 + 3.74*x1 >= 15)
model.addConstr(3.74*x1 + 5.86*x3 >= 14)
model.addConstr(0.56*x2 + 1.07*x4 >= 14)
model.addConstr(5.04*x0 + 0.56*x2 >= 10)
model.addConstr(5.04*x0 + 0.56*x2 + 1.07*x4 >= 16)
model.addConstr(3.93*x3 + 2.49*x4 <= 129)
model.addConstr(1.29*x0 + 1.38*x1 <= 207)
model.addConstr(4.64*x2 + 3.93*x3 <= 214)
model.addConstr(1.29*x0 + 1.38*x1 + 4.64*x2 + 3.93*x3 + 2.49*x4 <= 214)
model.addConstr(5.04*x0 + 3.74*x1 <= 94)
model.addConstr(3.74*x1 + 1.07*x4 <= 149)
model.addConstr(5.04*x0 + 1.07*x4 <= 86)
model.addConstr(3.74*x1 + 0.56*x2 <= 124)
model.addConstr(5.04*x0 + 5.86*x3 <= 82)
model.addConstr(5.86*x3 + 1.07*x4 <= 84)
model.addConstr(0.56*x2 + 1.07*x4 <= 87)
model.addConstr(5.04*x0 + 3.74*x1 + 0.56*x2 + 5.86*x3 + 1.07*x4 <= 87)
model.addConstr(5.22*x0 + 4.63*x4 <= 27)
model.addConstr(1.67*x1 + 2.74*x3 <= 79)
model.addConstr(1.67*x1 + 3.29*x2 + 4.63*x4 <= 85)
model.addConstr(1.67*x1 + 3.29*x2 + 2.74*x3 <= 45)
model.addConstr(5.22*x0 + 1.67*x1 + 3.29*x2 <= 51)
model.addConstr(5.22*x0 + 2.74*x3 + 4.63*x4 <= 66)
model.addConstr(5.22*x0 + 3.29*x2 + 4.63*x4 <= 54)
model.addConstr(1.67*x1 + 2.74*x3 + 4.63*x4 <= 67)
model.addConstr(5.22*x0 + 1.67*x1 + 2.74*x3 <= 81)
model.addConstr(3.29*x2 + 2.74*x3 + 4.63*x4 <= 42)
model.addConstr(5.22*x0 + 1.67*x1 + 3.29*x2 + 2.74*x3 + 4.63*x4 <= 42)

# Solve the model
model.optimize()

# Print the solution
if model.status == gurobi.GRB.OPTIMAL:
    print('Objective: ', model.objVal)
    print('Hours worked by George: ', x0.varValue)
    print('Hours worked by Jean: ', x1.varValue)
    print('Hours worked by Dale: ', x2.varValue)
    print('Hours worked by Ringo: ', x3.varValue)
    print('Hours worked by Bill: ', x4.varValue)
else:
    print('No optimal solution found')
```

### Symbolic Representation
```json
{
    'sym_variables': [
        ('x0', 'hours worked by George'), 
        ('x1', 'hours worked by Jean'), 
        ('x2', 'hours worked by Dale'), 
        ('x3', 'hours worked by Ringo'), 
        ('x4', 'hours worked by Bill')
    ], 
    'objective_function': '1*x0 + 4*x1 + 2*x2 + 4*x3 + 8*x4', 
    'constraints': [
        '3.93*x3 + 2.49*x4 >= 18', 
        '4.64*x2 + 2.49*x4 >= 41', 
        '1.38*x1 + 3.93*x3 + 2.49*x4 >= 47', 
        '1.38*x1 + 4.64*x2 + 2.49*x4 >= 47', 
        '1.38*x1 + 3.93*x3 + 2.49*x4 >= 43', 
        '1.38*x1 + 4.64*x2 + 2.49*x4 >= 43', 
        '3.74*x1 + 1.07*x4 >= 12', 
        '5.04*x0 + 3.74*x1 >= 15', 
        '3.74*x1 + 5.86*x3 >= 14', 
        '0.56*x2 + 1.07*x4 >= 14', 
        '5.04*x0 + 0.56*x2 >= 10', 
        '5.04*x0 + 0.56*x2 + 1.07*x4 >= 16', 
        '3.93*x3 + 2.49*x4 <= 129', 
        '1.29*x0 + 1.38*x1 <= 207', 
        '4.64*x2 + 3.93*x3 <= 214', 
        '1.29*x0 + 1.38*x1 + 4.64*x2 + 3.93*x3 + 2.49*x4 <= 214', 
        '5.04*x0 + 3.74*x1 <= 94', 
        '3.74*x1 + 1.07*x4 <= 149', 
        '5.04*x0 + 1.07*x4 <= 86', 
        '3.74*x1 + 0.56*x2 <= 124', 
        '5.04*x0 + 5.86*x3 <= 82', 
        '5.86*x3 + 1.07*x4 <= 84', 
        '0.56*x2 + 1.07*x4 <= 87', 
        '5.04*x0 + 3.74*x1 + 0.56*x2 + 5.86*x3 + 1.07*x4 <= 87', 
        '5.22*x0 + 4.63*x4 <= 27', 
        '1.67*x1 + 2.74*x3 <= 79', 
        '1.67*x1 + 3.29*x2 + 4.63*x4 <= 85', 
        '1.67*x1 + 3.29*x2 + 2.74*x3 <= 45', 
        '5.22*x0 + 1.67*x1 + 3.29*x2 <= 51', 
        '5.22*x0 + 2.74*x3 + 4.63*x4 <= 66', 
        '5.22*x0 + 3.29*x2 + 4.63*x4 <= 54', 
        '1.67*x1 + 2.74*x3 + 4.63*x4 <= 67', 
        '5.22*x0 + 1.67*x1 + 2.74*x3 <= 81', 
        '3.29*x2 + 2.74*x3 + 4.63*x4 <= 42', 
        '5.22*x0 + 1.67*x1 + 3.29*x2 + 2.74*x3 + 4.63*x4 <= 42'
    ]
}
```