## Step 1: Define the symbolic representation of the variables
The variables are 'blue pens', 'packs of paper', 'usb flash drives', and 'staplers'. Let's denote them as $x_1$, $x_2$, $x_3$, and $x_4$ respectively.

## Step 2: Convert the objective function into a symbolic representation
The objective function to minimize is $9.32x_1 + 6.84x_2 + 7.13x_3 + 9.44x_4$.

## Step 3: Define the constraints in symbolic notation
1. $16x_1 + 16x_3 \geq 55$
2. $16x_3 + 15x_4 \geq 128$
3. $11x_2 + 16x_3 \geq 97$
4. $16x_1 + 16x_3 + 15x_4 \geq 125$
5. $11x_2 + 16x_3 + 15x_4 \geq 125$
6. $16x_1 + 11x_2 + 15x_4 \geq 125$
7. $16x_1 + 11x_2 + 16x_3 \geq 125$
8. $16x_1 + 16x_3 + 15x_4 \geq 85$
9. $11x_2 + 16x_3 + 15x_4 \geq 85$
10. $16x_1 + 11x_2 + 15x_4 \geq 85$
11. $16x_1 + 11x_2 + 16x_3 \geq 85$
12. $16x_1 + 16x_3 + 15x_4 \geq 119$
13. $11x_2 + 16x_3 + 15x_4 \geq 119$
14. $16x_1 + 11x_2 + 15x_4 \geq 119$
15. $16x_1 + 11x_2 + 16x_3 \geq 119$
16. $16x_1 + 16x_3 + 15x_4 \geq 103$
17. $11x_2 + 16x_3 + 15x_4 \geq 103$
18. $16x_1 + 11x_2 + 15x_4 \geq 103$
19. $16x_1 + 11x_2 + 16x_3 \geq 103$
20. $16x_1 + 11x_2 + 16x_3 + 15x_4 \geq 103$
21. $-6x_2 + 4x_3 \geq 0$
22. $-x_2 + 4x_4 \geq 0$
23. $16x_1 + 16x_3 + 15x_4 \leq 511$
24. $16x_1 + 11x_2 + 15x_4 \leq 399$
25. $11x_2 + 16x_3 + 15x_4 \leq 397$

## 4: Define the symbolic representation of the problem
```json
{
    'sym_variables': [
        ('x1', 'blue pens'), 
        ('x2', 'packs of paper'), 
        ('x3', 'usb flash drives'), 
        ('x4', 'staplers')
    ], 
    'objective_function': '9.32x1 + 6.84x2 + 7.13x3 + 9.44x4', 
    'constraints': [
        '16x1 + 16x3 >= 55',
        '16x3 + 15x4 >= 128',
        '11x2 + 16x3 >= 97',
        '16x1 + 16x3 + 15x4 >= 125',
        '11x2 + 16x3 + 15x4 >= 125',
        '16x1 + 11x2 + 15x4 >= 125',
        '16x1 + 11x2 + 16x3 >= 125',
        '16x1 + 16x3 + 15x4 >= 85',
        '11x2 + 16x3 + 15x4 >= 85',
        '16x1 + 11x2 + 15x4 >= 85',
        '16x1 + 11x2 + 16x3 >= 85',
        '16x1 + 16x3 + 15x4 >= 119',
        '11x2 + 16x3 + 15x4 >= 119',
        '16x1 + 11x2 + 15x4 >= 119',
        '16x1 + 11x2 + 16x3 >= 119',
        '16x1 + 16x3 + 15x4 >= 103',
        '11x2 + 16x3 + 15x4 >= 103',
        '16x1 + 11x2 + 15x4 >= 103',
        '16x1 + 11x2 + 16x3 >= 103',
        '16x1 + 11x2 + 16x3 + 15x4 >= 103',
        '-6x2 + 4x3 >= 0',
        '-x2 + 4x4 >= 0',
        '16x1 + 16x3 + 15x4 <= 511',
        '16x1 + 11x2 + 15x4 <= 399',
        '11x2 + 16x3 + 15x4 <= 397'
    ]
}
```

## 5: Implement the problem in Gurobi
```python
import gurobi

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

# Define the variables
x1 = m.addVar(name='blue_pens', vtype=gurobi.GRB.INTEGER)
x2 = m.addVar(name='packs_of_paper', vtype=gurobi.GRB.INTEGER)
x3 = m.addVar(name='usb_flash_drives', vtype=gurobi.GRB.INTEGER)
x4 = m.addVar(name='staplers', vtype=gurobi.GRB.INTEGER)

# Objective function
m.setObjective(9.32*x1 + 6.84*x2 + 7.13*x3 + 9.44*x4, gurobi.GRB.MINIMIZE)

# Constraints
m.addConstr(16*x1 + 16*x3 >= 55)
m.addConstr(16*x3 + 15*x4 >= 128)
m.addConstr(11*x2 + 16*x3 >= 97)
m.addConstr(16*x1 + 16*x3 + 15*x4 >= 125)
m.addConstr(11*x2 + 16*x3 + 15*x4 >= 125)
m.addConstr(16*x1 + 11*x2 + 15*x4 >= 125)
m.addConstr(16*x1 + 11*x2 + 16*x3 >= 125)
m.addConstr(16*x1 + 16*x3 + 15*x4 >= 85)
m.addConstr(11*x2 + 16*x3 + 15*x4 >= 85)
m.addConstr(16*x1 + 11*x2 + 15*x4 >= 85)
m.addConstr(16*x1 + 11*x2 + 16*x3 >= 85)
m.addConstr(16*x1 + 16*x3 + 15*x4 >= 119)
m.addConstr(11*x2 + 16*x3 + 15*x4 >= 119)
m.addConstr(16*x1 + 11*x2 + 15*x4 >= 119)
m.addConstr(16*x1 + 11*x2 + 16*x3 >= 119)
m.addConstr(16*x1 + 16*x3 + 15*x4 >= 103)
m.addConstr(11*x2 + 16*x3 + 15*x4 >= 103)
m.addConstr(16*x1 + 11*x2 + 15*x4 >= 103)
m.addConstr(16*x1 + 11*x2 + 16*x3 >= 103)
m.addConstr(16*x1 + 11*x2 + 16*x3 + 15*x4 >= 103)
m.addConstr(-6*x2 + 4*x3 >= 0)
m.addConstr(-x2 + 4*x4 >= 0)
m.addConstr(16*x1 + 16*x3 + 15*x4 <= 511)
m.addConstr(16*x1 + 11*x2 + 15*x4 <= 399)
m.addConstr(11*x2 + 16*x3 + 15*x4 <= 397)

# Optimize the model
m.optimize()

# Print the solution
if m.status == gurobi.GRB.OPTIMAL:
    print('Objective: ', m.objval)
    print('blue pens: ', x1.varValue)
    print('packs of paper: ', x2.varValue)
    print('usb flash drives: ', x3.varValue)
    print('staplers: ', x4.varValue)
else:
    print('No solution found')
```