## Step 1: Define the optimization problem
The problem is to maximize the objective function: $4.44 \times \text{hours worked by Jean} + 5.12 \times \text{hours worked by Peggy} + 2.1 \times \text{hours worked by Bobby} + 7.6 \times \text{hours worked by Laura}$.

## Step 2: List all the constraints
The constraints are:
- Jean's organization score is 9.
- Jean's computer competence rating is 13.
- Jean's paperwork competence rating is 10.
- Peggy's organization score is 9.
- Peggy's computer competence rating is 16.
- Peggy's paperwork competence rating is 5.
- Bobby's organization score is 15.
- Bobby's computer competence rating is 5.
- Bobby's paperwork competence rating is 8.
- Laura's organization score is 16.
- Laura's computer competence rating is 2.
- Laura's paperwork competence rating is 10.
- $9 \times \text{hours worked by Peggy} + 16 \times \text{hours worked by Laura} \geq 56$.
- $15 \times \text{hours worked by Bobby} + 16 \times \text{hours worked by Laura} \geq 59$.
- $5 \times \text{hours worked by Bobby} + 2 \times \text{hours worked by Laura} \geq 13$.
- $13 \times \text{hours worked by Jean} + 5 \times \text{hours worked by Bobby} \geq 34$.
- $16 \times \text{hours worked by Peggy} + 5 \times \text{hours worked by Bobby} \geq 26$.
- $13 \times \text{hours worked by Jean} + 16 \times \text{hours worked by Peggy} + 5 \times \text{hours worked by Bobby} \geq 29$.
- $13 \times \text{hours worked by Jean} + 16 \times \text{hours worked by Peggy} + 2 \times \text{hours worked by Laura} \geq 29$.
- $16 \times \text{hours worked by Peggy} + 5 \times \text{hours worked by Bobby} + 2 \times \text{hours worked by Laura} \geq 29$.
- $13 \times \text{hours worked by Jean} + 16 \times \text{hours worked by Peggy} + 5 \times \text{hours worked by Bobby} \geq 35$.
- $13 \times \text{hours worked by Jean} + 16 \times \text{hours worked by Peggy} + 2 \times \text{hours worked by Laura} \geq 35$.
- $16 \times \text{hours worked by Peggy} + 5 \times \text{hours worked by Bobby} + 2 \times \text{hours worked by Laura} \geq 35$.
- $10 \times \text{hours worked by Jean} + 8 \times \text{hours worked by Bobby} + 10 \times \text{hours worked by Laura} \geq 42$.
- $5 \times \text{hours worked by Peggy} + 8 \times \text{hours worked by Bobby} + 10 \times \text{hours worked by Laura} \geq 42$.
- $10 \times \text{hours worked by Jean} + 5 \times \text{hours worked by Peggy} + 8 \times \text{hours worked by Bobby} \geq 42$.
- $10 \times \text{hours worked by Jean} + 8 \times \text{hours worked by Bobby} + 10 \times \text{hours worked by Laura} \geq 34$.
- $5 \times \text{hours worked by Peggy} + 8 \times \text{hours worked by Bobby} + 10 \times \text{hours worked by Laura} \geq 34$.
- $10 \times \text{hours worked by Jean} + 5 \times \text{hours worked by Peggy} + 8 \times \text{hours worked by Bobby} \geq 34$.
- $10 \times \text{hours worked by Jean} + 8 \times \text{hours worked by Bobby} + 10 \times \text{hours worked by Laura} \geq 28$.
- $5 \times \text{hours worked by Peggy} + 8 \times \text{hours worked by Bobby} + 10 \times \text{hours worked by Laura} \geq 28$.
- $10 \times \text{hours worked by Jean} + 5 \times \text{hours worked by Peggy} + 8 \times \text{hours worked by Bobby} \geq 28$.
- $9 \times \text{hours worked by Jean} + 9 \times \text{hours worked by Peggy} \leq 76$.
- $9 \times \text{hours worked by Jean} + 15 \times \text{hours worked by Bobby} \leq 192$.
- $9 \times \text{hours worked by Peggy} + 16 \times \text{hours worked by Laura} \leq 63$.
- $9 \times \text{hours worked by Jean} + 9 \times \text{hours worked by Peggy} + 15 \times \text{hours worked by Bobby} + 16 \times \text{hours worked by Laura} \leq 63$.
- $16 \times \text{hours worked by Peggy} + 5 \times \text{hours worked by Bobby} \leq 96$.
- $13 \times \text{hours worked by Jean} + 2 \times \text{hours worked by Laura} \leq 78$.
- $16 \times \text{hours worked by Peggy} + 2 \times \text{hours worked by Laura} \leq 142$.
- $13 \times \text{hours worked by Jean} + 16 \times \text{hours worked by Peggy} + 5 \times \text{hours worked by Bobby} + 2 \times \text{hours worked by Laura} \leq 142$.
- $10 \times \text{hours worked by Jean} + 5 \times \text{hours worked by Peggy} \leq 126$.
- $5 \times \text{hours worked by Peggy} + 10 \times \text{hours worked by Laura} \leq 114$.
- $10 \times \text{hours worked by Jean} + 8 \times \text{hours worked by Bobby} \leq 59$.
- $10 \times \text{hours worked by Jean} + 5 \times \text{hours worked by Peggy} + 10 \times \text{hours worked by Laura} \leq 52$.
- $10 \times \text{hours worked by Jean} + 5 \times \text{hours worked by Peggy} + 8 \times \text{hours worked by Bobby} + 10 \times \text{hours worked by Laura} \leq 52$.

## Step 3: Implement the optimization problem using Gurobi
```python
import gurobi

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

# Define the variables
jean = m.addVar(name="jean", lb=0)
peggy = m.addVar(name="peggy", lb=0)
bobby = m.addVar(name="bobby", lb=0)
laura = m.addVar(name="laura", lb=0)

# Objective function
m.setObjective(4.44 * jean + 5.12 * peggy + 2.1 * bobby + 7.6 * laura, gurobi.GRB.MAXIMIZE)

# Constraints
m.addConstr(9 * jean <= 9)
m.addConstr(13 * jean <= 13)
m.addConstr(10 * jean <= 10)

m.addConstr(9 * peggy <= 9)
m.addConstr(16 * peggy <= 16)
m.addConstr(5 * peggy <= 5)

m.addConstr(15 * bobby <= 15)
m.addConstr(5 * bobby <= 5)
m.addConstr(8 * bobby <= 8)

m.addConstr(16 * laura <= 16)
m.addConstr(2 * laura <= 2)
m.addConstr(10 * laura <= 10)

m.addConstr(9 * peggy + 16 * laura >= 56)
m.addConstr(15 * bobby + 16 * laura >= 59)
m.addConstr(5 * bobby + 2 * laura >= 13)
m.addConstr(13 * jean + 5 * bobby >= 34)
m.addConstr(16 * peggy + 5 * bobby >= 26)
m.addConstr(13 * jean + 16 * peggy + 5 * bobby >= 29)
m.addConstr(13 * jean + 16 * peggy + 2 * laura >= 29)
m.addConstr(16 * peggy + 5 * bobby + 2 * laura >= 29)
m.addConstr(13 * jean + 16 * peggy + 5 * bobby >= 35)
m.addConstr(13 * jean + 16 * peggy + 2 * laura >= 35)
m.addConstr(16 * peggy + 5 * bobby + 2 * laura >= 35)

m.addConstr(10 * jean + 8 * bobby + 10 * laura >= 42)
m.addConstr(5 * peggy + 8 * bobby + 10 * laura >= 42)
m.addConstr(10 * jean + 5 * peggy + 8 * bobby >= 42)
m.addConstr(10 * jean + 8 * bobby + 10 * laura >= 34)
m.addConstr(5 * peggy + 8 * bobby + 10 * laura >= 34)
m.addConstr(10 * jean + 5 * peggy + 8 * bobby >= 34)
m.addConstr(10 * jean + 8 * bobby + 10 * laura >= 28)
m.addConstr(5 * peggy + 8 * bobby + 10 * laura >= 28)
m.addConstr(10 * jean + 5 * peggy + 8 * bobby >= 28)

m.addConstr(9 * jean + 9 * peggy <= 76)
m.addConstr(9 * jean + 15 * bobby <= 192)
m.addConstr(9 * peggy + 16 * laura <= 63)
m.addConstr(9 * jean + 9 * peggy + 15 * bobby + 16 * laura <= 63)
m.addConstr(16 * peggy + 5 * bobby <= 96)
m.addConstr(13 * jean + 2 * laura <= 78)
m.addConstr(16 * peggy + 2 * laura <= 142)
m.addConstr(13 * jean + 16 * peggy + 5 * bobby + 2 * laura <= 142)
m.addConstr(10 * jean + 5 * peggy <= 126)
m.addConstr(5 * peggy + 10 * laura <= 114)
m.addConstr(10 * jean + 8 * bobby <= 59)
m.addConstr(10 * jean + 5 * peggy + 10 * laura <= 52)
m.addConstr(10 * jean + 5 * peggy + 8 * bobby + 10 * laura <= 52)

# Solve the model
m.optimize()

# Print the solution
if m.status == gurobi.GRB.OPTIMAL:
    print("Objective: ", m.objVal)
    print("Jean: ", jean.varValue)
    print("Peggy: ", peggy.varValue)
    print("Bobby: ", bobby.varValue)
    print("Laura: ", laura.varValue)
else:
    print("The model is infeasible")
```