## Step 1: Define the symbolic representation of the problem
The problem involves maximizing an objective function subject to several constraints. The variables are ['3D printers', 'black pens', 'postage stamps', 'monochrome printers'], which we can denote as $x_0, x_1, x_2, x_3$ respectively.

## Step 2: Formulate the objective function
The objective function to maximize is $1 \times x_0 + 8 \times x_1 + 7 \times x_2 + 5 \times x_3$.

## 3: List the constraints
The constraints given can be summarized as follows:
- $4x_0 + 17x_1 + 11x_2 + 3x_3 \leq 152$ (weight constraint)
- $11x_0 + x_1 + 11x_2 + 13x_3 \leq 120$ (employee satisfaction impact constraint)
- $14x_0 + 15x_1 + 17x_2 + x_3 \leq 136$ (dollar cost constraint)
- $2x_0 + 17x_1 + 2x_2 + 7x_3 \leq 94$ (workplace safety impact constraint)
- $11x_0 + x_1 \geq 20$ (combined employee satisfaction impact from 3D printers and black pens)
- $11x_0 + 11x_2 + 13x_3 \geq 29$ (combined employee satisfaction impact from 3D printers, postage stamps, and monochrome printers)
- $14x_0 + 15x_1 + x_3 \geq 27$ (combined dollar cost from 3D printers, black pens, and monochrome printers)
- $2x_0 + 2x_2 \geq 23$ (combined workplace safety impact from 3D printers and postage stamps)
- $17x_1 + 7x_3 \geq 10$ (combined workplace safety impact from black pens and monochrome printers)
- $2x_2 + 7x_3 \geq 15$ (combined workplace safety impact from postage stamps and monochrome printers)
- $4x_0 + 3x_3 \leq 116$ (combined weight from 3D printers and monochrome printers)
- $4x_0 + 17x_1 \leq 104$ (combined weight from 3D printers and black pens)
- $4x_0 + 11x_2 \leq 72$ (combined weight from 3D printers and postage stamps)
- $11x_2 + 3x_3 \leq 61$ (combined weight from postage stamps and monochrome printers)
- $4x_0 + 17x_1 + 11x_2 + 3x_3 \leq 61$ (total weight constraint)
- $11x_0 + 11x_2 \leq 107$ (combined employee satisfaction impact from 3D printers and postage stamps)
- $11x_0 + x_1 \leq 31$ (combined employee satisfaction impact from 3D printers and black pens)
- $11x_0 + 13x_3 \leq 38$ (combined employee satisfaction impact from 3D printers and monochrome printers)
- $11x_2 + 13x_3 \leq 46$ (combined employee satisfaction impact from postage stamps and monochrome printers)
- $x_1 + 13x_3 \leq 115$ (combined employee satisfaction impact from black pens and monochrome printers)
- $11x_0 + x_1 + 11x_2 \leq 99$ (combined employee satisfaction impact from 3D printers, black pens, and postage stamps)
- $x_1 + 11x_2 + 13x_3 \leq 107$ (combined employee satisfaction impact from black pens, postage stamps, and monochrome printers)
- $11x_0 + 11x_2 + 13x_3 \leq 93$ (combined employee satisfaction impact from 3D printers, postage stamps, and monochrome printers)
- $11x_0 + x_1 + 11x_2 + 13x_3 \leq 93$ (combined employee satisfaction impact from all variables)
- $14x_0 + 15x_1 \leq 40$ (combined dollar cost from 3D printers and black pens)
- $15x_1 + 17x_2 \leq 129$ (combined dollar cost from black pens and postage stamps)
- $14x_0 + x_3 \leq 47$ (combined dollar cost from 3D printers and monochrome printers)
- $14x_0 + 15x_1 + x_3 \leq 110$ (combined dollar cost from 3D printers, black pens, and monochrome printers)
- $14x_0 + 15x_1 + 17x_2 + x_3 \leq 110$ (combined dollar cost from all variables)
- $2x_0 + 7x_3 \leq 78$ (combined workplace safety impact from 3D printers and monochrome printers)
- $2x_0 + 17x_1 \leq 68$ (combined workplace safety impact from 3D printers and black pens)
- $2x_2 + 7x_3 \leq 55$ (combined workplace safety impact from postage stamps and monochrome printers)
- $17x_1 + 2x_2 + 7x_3 \leq 64$ (combined workplace safety impact from black pens, postage stamps, and monochrome printers)
- $2x_0 + 17x_1 + 7x_3 \leq 83$ (combined workplace safety impact from 3D printers, black pens, and monochrome printers)
- $2x_0 + 2x_2 + 7x_3 \leq 43$ (combined workplace safety impact from 3D printers, postage stamps, and monochrome printers)
- $2x_0 + 17x_1 + 2x_2 \leq 81$ (combined workplace safety impact from 3D printers, black pens, and postage stamps)
- $2x_0 + 17x_1 + 2x_2 + 7x_3 \leq 81$ (combined workplace safety impact from all variables)
- $x_0, x_1, x_2, x_3$ are integers.

## 4: Symbolic representation
The symbolic representation can be written as:
```json
{
    'sym_variables': [
        ('x0', '3D printers'),
        ('x1', 'black pens'),
        ('x2', 'postage stamps'),
        ('x3', 'monochrome printers')
    ],
    'objective_function': '1*x0 + 8*x1 + 7*x2 + 5*x3',
    'constraints': [
        '4*x0 + 17*x1 + 11*x2 + 3*x3 <= 152',
        '11*x0 + x1 + 11*x2 + 13*x3 <= 120',
        '14*x0 + 15*x1 + 17*x2 + x3 <= 136',
        '2*x0 + 17*x1 + 2*x2 + 7*x3 <= 94',
        '11*x0 + x1 >= 20',
        '11*x0 + 11*x2 + 13*x3 >= 29',
        '14*x0 + 15*x1 + x3 >= 27',
        '2*x0 + 2*x2 >= 23',
        '17*x1 + 7*x3 >= 10',
        '2*x2 + 7*x3 >= 15',
        '4*x0 + 3*x3 <= 116',
        '4*x0 + 17*x1 <= 104',
        '4*x0 + 11*x2 <= 72',
        '11*x2 + 3*x3 <= 61',
        '4*x0 + 17*x1 + 11*x2 + 3*x3 <= 61',
        '11*x0 + 11*x2 <= 107',
        '11*x0 + x1 <= 31',
        '11*x0 + 13*x3 <= 38',
        '11*x2 + 13*x3 <= 46',
        'x1 + 13*x3 <= 115',
        '11*x0 + x1 + 11*x2 <= 99',
        'x1 + 11*x2 + 13*x3 <= 107',
        '11*x0 + 11*x2 + 13*x3 <= 93',
        '11*x0 + x1 + 11*x2 + 13*x3 <= 93',
        '14*x0 + 15*x1 <= 40',
        '15*x1 + 17*x2 <= 129',
        '14*x0 + x3 <= 47',
        '14*x0 + 15*x1 + x3 <= 110',
        '14*x0 + 15*x1 + 17*x2 + x3 <= 110',
        '2*x0 + 7*x3 <= 78',
        '2*x0 + 17*x1 <= 68',
        '2*x2 + 7*x3 <= 55',
        '17*x1 + 2*x2 + 7*x3 <= 64',
        '2*x0 + 17*x1 + 7*x3 <= 83',
        '2*x0 + 2*x2 + 7*x3 <= 43',
        '2*x0 + 17*x1 + 2*x2 <= 81',
        '2*x0 + 17*x1 + 2*x2 + 7*x3 <= 81'
    ]
}
```

## 5: Gurobi Code
```python
import gurobi

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

    # Define the variables
    x0 = model.addVar(name='3D_printers', vtype=gurobi.GRB.INTEGER)
    x1 = model.addVar(name='black_pens', vtype=gurobi.GRB.INTEGER)
    x2 = model.addVar(name='postage_stamps', vtype=gurobi.GRB.INTEGER)
    x3 = model.addVar(name='monochrome_printers', vtype=gurobi.GRB.INTEGER)

    # Define the objective function
    model.setObjective(1*x0 + 8*x1 + 7*x2 + 5*x3, gurobi.GRB.MAXIMIZE)

    # Add constraints
    model.addConstr(4*x0 + 17*x1 + 11*x2 + 3*x3 <= 152)
    model.addConstr(11*x0 + x1 + 11*x2 + 13*x3 <= 120)
    model.addConstr(14*x0 + 15*x1 + 17*x2 + x3 <= 136)
    model.addConstr(2*x0 + 17*x1 + 2*x2 + 7*x3 <= 94)
    model.addConstr(11*x0 + x1 >= 20)
    model.addConstr(11*x0 + 11*x2 + 13*x3 >= 29)
    model.addConstr(14*x0 + 15*x1 + x3 >= 27)
    model.addConstr(2*x0 + 2*x2 >= 23)
    model.addConstr(17*x1 + 7*x3 >= 10)
    model.addConstr(2*x2 + 7*x3 >= 15)
    model.addConstr(4*x0 + 3*x3 <= 116)
    model.addConstr(4*x0 + 17*x1 <= 104)
    model.addConstr(4*x0 + 11*x2 <= 72)
    model.addConstr(11*x2 + 3*x3 <= 61)
    model.addConstr(4*x0 + 17*x1 + 11*x2 + 3*x3 <= 61)
    model.addConstr(11*x0 + 11*x2 <= 107)
    model.addConstr(11*x0 + x1 <= 31)
    model.addConstr(11*x0 + 13*x3 <= 38)
    model.addConstr(11*x2 + 13*x3 <= 46)
    model.addConstr(x1 + 13*x3 <= 115)
    model.addConstr(11*x0 + x1 + 11*x2 <= 99)
    model.addConstr(x1 + 11*x2 + 13*x3 <= 107)
    model.addConstr(11*x0 + 11*x2 + 13*x3 <= 93)
    model.addConstr(11*x0 + x1 + 11*x2 + 13*x3 <= 93)
    model.addConstr(14*x0 + 15*x1 <= 40)
    model.addConstr(15*x1 + 17*x2 <= 129)
    model.addConstr(14*x0 + x3 <= 47)
    model.addConstr(14*x0 + 15*x1 + x3 <= 110)
    model.addConstr(14*x0 + 15*x1 + 17*x2 + x3 <= 110)
    model.addConstr(2*x0 + 7*x3 <= 78)
    model.addConstr(2*x0 + 17*x1 <= 68)
    model.addConstr(2*x2 + 7*x3 <= 55)
    model.addConstr(17*x1 + 2*x2 + 7*x3 <= 64)
    model.addConstr(2*x0 + 17*x1 + 7*x3 <= 83)
    model.addConstr(2*x0 + 2*x2 + 7*x3 <= 43)
    model.addConstr(2*x0 + 17*x1 + 2*x2 <= 81)
    model.addConstr(2*x0 + 17*x1 + 2*x2 + 7*x3 <= 81)

    # Solve the model
    model.optimize()

    # Print the solution
    if model.status == gurobi.GRB.OPTIMAL:
        print('Objective: ', model.objVal)
        print('3D printers: ', x0.varValue)
        print('black pens: ', x1.varValue)
        print('postage stamps: ', x2.varValue)
        print('monochrome printers: ', x3.varValue)
    else:
        print('No solution found')

solve_optimization_problem()
```