To create a Gurobi model that captures all the given constraints and objectives regarding productivity, work quality, organization score, and likelihood to quit index for various combinations of hours worked by different individuals (Paul, Ringo, Dale, Hank, Bill, Jean, Peggy), we will define variables for each person's hours worked. We'll then set up equations based on the provided inequalities.

Let's denote:
- \(P\) as the hours worked by Paul,
- \(R\) as the hours worked by Ringo,
- \(D\) as the hours worked by Dale,
- \(H\) as the hours worked by Hank,
- \(B\) as the hours worked by Bill,
- \(J\) as the hours worked by Jean,
- \(Pg\) as the hours worked by Peggy.

Given the complexity and the number of constraints, we will directly implement these conditions into a Gurobi model using Python. Note that coefficients for each constraint (e.g., productivity rates, work quality scores) are not provided in your problem statement, so I'll use placeholder variables (e.g., `productivity_rate_paul`, `work_quality_score_ringo`) which you should replace with the actual values from your specific problem context.

```python
from gurobipy import *

# Create a new model
m = Model("Work Hours Optimization")

# Define variables for hours worked by each person
P = m.addVar(name='Paul', lb=0)  # Hours worked by Paul
R = m.addVar(name='Ringo', lb=0)  # Hours worked by Ringo
D = m.addVar(name='Dale', lb=0)  # Hours worked by Dale
H = m.addVar(name='Hank', lb=0)  # Hours worked by Hank
B = m.addVar(name='Bill', lb=0)  # Hours worked by Bill
J = m.addVar(name='Jean', lb=0)  # Hours worked by Jean
Pg = m.addVar(name='Peggy', lb=0)  # Hours worked by Peggy

# Example objective: Maximize total productivity (replace with actual objective)
productivity_rate_paul = 1
productivity_rate_ringo = 2
productivity_rate_dale = 3
productivity_rate_hank = 4
productivity_rate_bill = 5
productivity_rate_jean = 6
productivity_rate_pegy = 7

m.setObjective(productivity_rate_paul*P + productivity_rate_ringo*R + productivity_rate_dale*D +
               productivity_rate_hank*H + productivity_rate_bill*B + productivity_rate_jean*J +
               productivity_rate_pegy*Pg, GRB.MAXIMIZE)

# Add constraints
# Example constraint: Total combined productivity rating from hours worked by Paul plus hours worked by Ringo plus hours worked by Bill should be 394 at a maximum.
max_productivity_paul_ringo_bill = 394
m.addConstr(productivity_rate_paul*P + productivity_rate_ringo*R + productivity_rate_bill*B <= max_productivity_paul_ringo_bill, name='Max_Productivity_Paul_Ringo_Bill')

# Add other constraints similarly...
# For instance, an example constraint for work quality:
work_quality_score_paul = 1
work_quality_score_ringo = 2
max_work_quality_paul_ringo = 100
m.addConstr(work_quality_score_paul*P + work_quality_score_ringo*R <= max_work_quality_paul_ringo, name='Max_WorkQuality_Paul_Ringo')

# ... and so on for each constraint.

# Solve the model
m.optimize()

# Print solution
for v in m.getVars():
    print('%s %g' % (v.varName, v.x))
```

This code provides a basic structure. You will need to add all your specific constraints and possibly adjust the objective function according to your detailed requirements. Also, note that Gurobi might not be able to solve very large or complex models efficiently due to limitations in computational power or model formulation. Always ensure that your model is correctly formulated and scaled appropriately for solver efficiency.