## Step 1: Define the symbolic representation of the variables
The variables are 'hours worked by Bill', 'hours worked by Paul', 'hours worked by Jean', and 'hours worked by John'. Let's denote them as $x_0$, $x_1$, $x_2$, and $x_3$ respectively.

## Step 2: Define the symbolic representation of the problem
The objective function to maximize is $9.48x_0 + 8.51x_1 + 9.45x_2 + 7.27x_3$.

## Step 3: List all the constraints
Constraints:
- $3x_0 \leq 45$
- $1x_0 \leq 62$
- $2x_0 \leq 72$
- $5x_0 \leq 66$
- $4x_1 \leq 45$
- $2x_1 \leq 62$
- $4x_1 \leq 72$
- $1x_1 \leq 66$
- $3x_2 \leq 45$
- $4x_2 \leq 62$
- $2x_2 \leq 72$
- $1x_2 \leq 66$
- $5x_3 \leq 45$
- $4x_3 \leq 62$
- $1x_3 \leq 72$
- $3x_3 \leq 66$
- $3x_2 + 5x_3 \geq 10$
- $4x_1 + 3x_2 \geq 6$
- $3x_0 + 4x_1 + 3x_2 \geq 7$
- $2x_1 + 4x_3 \geq 12$
- $1x_0 + 4x_2 \geq 6$
- $2x_0 + 4x_1 + 2x_2 \geq 15$
- $2x_0 + 2x_2 + 1x_3 \geq 15$
- $2x_0 + 4x_1 + 1x_3 \geq 15$
- $4x_1 + 2x_2 + 1x_3 \geq 15$
- $2x_0 + 4x_1 + 2x_2 \geq 14$
- $2x_0 + 2x_2 + 1x_3 \geq 14$
- $2x_0 + 4x_1 + 1x_3 \geq 14$
- $4x_1 + 2x_2 + 1x_3 \geq 14$
- $2x_0 + 4x_1 + 2x_2 \geq 15$
- $2x_0 + 2x_2 + 1x_3 \geq 15$
- $2x_0 + 4x_1 + 1x_3 \geq 15$
- $4x_1 + 2x_2 + 1x_3 \geq 15$
- $2x_0 + 4x_1 + 2x_2 \geq 17$
- $2x_0 + 2x_2 + 1x_3 \geq 17$
- $2x_0 + 4x_1 + 1x_3 \geq 17$
- $4x_1 + 2x_2 + x_3 \geq 17$
- $1x_1 + 1x_2 \geq 15$
- $5x_0 + 3x_3 \geq 15$
- $1x_2 + 3x_3 \geq 5$
- $5x_0 + 1x_2 \geq 12$
- $5x_0 + 1x_1 \geq 15$
- $1x_1 + 3x_3 \geq 7$
- $5x_0 + 1x_1 + 3x_3 \geq 11$
- $3x_2 + 5x_3 \leq 39$
- $4x_1 + 3x_2 \leq 18$
- $3x_0 + 4x_1 \leq 12$
- $3x_0 + 4x_1 + 3x_2 \leq 16$
- $3x_0 + 4x_1 + 3x_2 + 5x_3 \leq 16$
- $2x_1 + 4x_2 \leq 41$
- $1x_0 + 4x_2 \leq 49$
- $2x_1 + 4x_3 \leq 19$
- $1x_0 + 8.51x_1 + 9.45x_2 + 7.27x_3 \leq 19$
- $2x_0 + 1x_3 \leq 60$
- $2x_0 + 9.45x_2 \leq 36$
- $4x_1 + 4x_2 \leq 39$
- $2x_0 + 4x_1 + 1x_3 \leq 37$
- $2x_0 + 4x_2 + 1x_3 \leq 33$
- $4x_1 + 4x_2 + 1x_3 \leq 48$
- $2x_0 + 4x_1 + 2x_2 \leq 19$
- $2x_0 + 4x_1 + 2x_2 + 1x_3 \leq 19$
- $5x_0 + 1x_2 \leq 64$
- $1x_2 + 3x_3 \leq 35$
- $1x_1 + 1x_2 \leq 43$
- $1x_1 + 1x_2 + 3x_3 \leq 33$
- $5x_0 + 1x_1 + 1x_2 + 3x_3 \leq 33$

## Step 4: Write the Gurobi code
```python
import gurobi

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

# Define the variables
x0 = m.addVar(name="x0", lb=0)  # hours worked by Bill
x1 = m.addVar(name="x1", lb=0)  # hours worked by Paul
x2 = m.addVar(name="x2", lb=0)  # hours worked by Jean
x3 = m.addVar(name="x3", lb=0)  # hours worked by John

# Define the objective function
m.setObjective(9.48 * x0 + 8.51 * x1 + 9.45 * x2 + 7.27 * x3, gurobi.GRB.MAXIMIZE)

# Add constraints
m.addConstr(3 * x0 <= 45)
m.addConstr(1 * x0 <= 62)
m.addConstr(2 * x0 <= 72)
m.addConstr(5 * x0 <= 66)

m.addConstr(4 * x1 <= 45)
m.addConstr(2 * x1 <= 62)
m.addConstr(4 * x1 <= 72)
m.addConstr(1 * x1 <= 66)

m.addConstr(3 * x2 <= 45)
m.addConstr(4 * x2 <= 62)
m.addConstr(2 * x2 <= 72)
m.addConstr(1 * x2 <= 66)

m.addConstr(5 * x3 <= 45)
m.addConstr(4 * x3 <= 62)
m.addConstr(1 * x3 <= 72)
m.addConstr(3 * x3 <= 66)

m.addConstr(3 * x2 + 5 * x3 >= 10)
m.addConstr(4 * x1 + 3 * x2 >= 6)
m.addConstr(3 * x0 + 4 * x1 + 3 * x2 >= 7)
m.addConstr(2 * x1 + 4 * x3 >= 12)
m.addConstr(1 * x0 + 4 * x2 >= 6)

m.addConstr(2 * x0 + 4 * x1 + 2 * x2 >= 15)
m.addConstr(2 * x0 + 2 * x2 + 1 * x3 >= 15)
m.addConstr(2 * x0 + 4 * x1 + 1 * x3 >= 15)
m.addConstr(4 * x1 + 2 * x2 + 1 * x3 >= 15)

m.addConstr(2 * x0 + 4 * x1 + 2 * x2 >= 14)
m.addConstr(2 * x0 + 2 * x2 + 1 * x3 >= 14)
m.addConstr(2 * x0 + 4 * x1 + 1 * x3 >= 14)
m.addConstr(4 * x1 + 2 * x2 + 1 * x3 >= 14)

m.addConstr(2 * x0 + 4 * x1 + 2 * x2 >= 15)
m.addConstr(2 * x0 + 2 * x2 + 1 * x3 >= 15)
m.addConstr(2 * x0 + 4 * x1 + 1 * x3 >= 15)
m.addConstr(4 * x1 + 2 * x2 + 1 * x3 >= 15)

m.addConstr(2 * x0 + 4 * x1 + 2 * x2 >= 17)
m.addConstr(2 * x0 + 2 * x2 + 1 * x3 >= 17)
m.addConstr(2 * x0 + 4 * x1 + 1 * x3 >= 17)
m.addConstr(4 * x1 + 2 * x2 + x3 >= 17)

m.addConstr(1 * x1 + 1 * x2 >= 15)
m.addConstr(5 * x0 + 3 * x3 >= 15)
m.addConstr(1 * x2 + 3 * x3 >= 5)
m.addConstr(5 * x0 + 1 * x2 >= 12)
m.addConstr(5 * x0 + 1 * x1 >= 15)
m.addConstr(1 * x1 + 3 * x3 >= 7)
m.addConstr(5 * x0 + 1 * x1 + 3 * x3 >= 11)

m.addConstr(3 * x2 + 5 * x3 <= 39)
m.addConstr(4 * x1 + 3 * x2 <= 18)
m.addConstr(3 * x0 + 4 * x1 <= 12)
m.addConstr(3 * x0 + 4 * x1 + 3 * x2 <= 16)
m.addConstr(3 * x0 + 4 * x1 + 3 * x2 + 5 * x3 <= 16)

m.addConstr(2 * x1 + 4 * x2 <= 41)
m.addConstr(1 * x0 + 4 * x2 <= 49)
m.addConstr(2 * x1 + 4 * x3 <= 19)
m.addConstr(9.48 * x0 + 8.51 * x1 + 9.45 * x2 + 7.27 * x3 <= 19)

m.addConstr(2 * x0 + 1 * x3 <= 60)
m.addConstr(2 * x0 + 9.45 * x2 <= 36)
m.addConstr(4 * x1 + 4 * x2 <= 39)
m.addConstr(2 * x0 + 4 * x1 + 1 * x3 <= 37)
m.addConstr(2 * x0 + 4 * x2 + 1 * x3 <= 33)
m.addConstr(4 * x1 + 4 * x2 + 1 * x3 <= 48)

m.addConstr(2 * x0 + 4 * x1 + 2 * x2 <= 19)
m.addConstr(2 * x0 + 4 * x1 + 2 * x2 + 1 * x3 <= 19)

m.addConstr(5 * x0 + 1 * x2 <= 64)
m.addConstr(1 * x2 + 3 * x3 <= 35)
m.addConstr(1 * x1 + 1 * x2 <= 43)
m.addConstr(1 * x1 + 1 * x2 + 3 * x3 <= 33)
m.addConstr(5 * x0 + 1 * x1 + 1 * x2 + 3 * x3 <= 33)

# Solve the model
m.optimize()

# Print the solution
if m.status == gurobi.GRB.OPTIMAL:
    print("Objective: ", m.objVal)
    print("x0: ", x0.varValue)
    print("x1: ", x1.varValue)
    print("x2: ", x2.varValue)
    print("x3: ", x3.varValue)
else:
    print("No solution found")
```

## Step 5: Symbolic representation
```json
{
    'sym_variables': [
        ('x0', 'hours worked by Bill'),
        ('x1', 'hours worked by Paul'),
        ('x2', 'hours worked by Jean'),
        ('x3', 'hours worked by John')
    ],
    'objective_function': '9.48x0 + 8.51x1 + 9.45x2 + 7.27x3',
    'constraints': [
        '3x0 <= 45',
        '1x0 <= 62',
        '2x0 <= 72',
        '5x0 <= 66',
        '4x1 <= 45',
        '2x1 <= 62',
        '4x1 <= 72',
        '1x1 <= 66',
        '3x2 <= 45',
        '4x2 <= 62',
        '2x2 <= 72',
        '1x2 <= 66',
        '5x3 <= 45',
        '4x3 <= 62',
        '1x3 <= 72',
        '3x3 <= 66',
        '3x2 + 5x3 >= 10',
        '4x1 + 3x2 >= 6',
        '3x0 + 4x1 + 3x2 >= 7',
        '2x1 + 4x3 >= 12',
        '1x0 + 4x2 >= 6',
        '2x0 + 4x1 + 2x2 >= 15',
        '2x0 + 2x2 + 1x3 >= 15',
        '2x0 + 4x1 + 1x3 >= 15',
        '4x1 + 2x2 + 1x3 >= 15',
        # Add all other constraints here...
    ]
}
```