## Step 1: Define the optimization problem
The problem is to maximize the objective function:
\[ 1 \times (\text{grams of fiber})^2 + 4 \times (\text{grams of fiber}) \times (\text{mg of vitamin K}) + 2 \times (\text{grams of fiber}) \times (\text{mg of vitamin B7}) + 8 \times (\text{grams of fiber}) \times (\text{mg of potassium}) + \]
\[ 4 \times (\text{mg of vitamin K}) \times (\text{mg of vitamin B2}) + 9 \times (\text{mg of vitamin K}) \times (\text{mg of vitamin B7}) + 7 \times (\text{mg of vitamin K}) \times (\text{mg of potassium}) + \]
\[ 3 \times (\text{mg of vitamin B2})^2 + 7 \times (\text{mg of vitamin B2}) \times (\text{mg of vitamin B7}) + 3 \times (\text{mg of vitamin B2}) \times (\text{mg of potassium}) + \]
\[ 3 \times (\text{mg of vitamin B7})^2 + 5 \times (\text{mg of vitamin B7}) \times (\text{mg of potassium}) + 2 \times (\text{mg of potassium})^2 + \]
\[ 2 \times (\text{mg of vitamin K}) + 9 \times (\text{mg of vitamin B2}) + 3 \times (\text{mg of vitamin B7}) + 2 \times (\text{mg of potassium}) \]

## Step 2: List all the constraints
Constraints are given based on the kidney support index (r0) and cardiovascular support index (r1) for each variable:
- $4 \times (\text{grams of fiber}) \leq 169$
- $3 \times (\text{grams of fiber}) \leq 160$
- $4 \times (\text{mg of vitamin K}) \leq 169$
- $2 \times (\text{mg of vitamin K}) \leq 160$
- $3 \times (\text{mg of vitamin B2}) \leq 169$
- $4 \times (\text{mg of vitamin B2}) \leq 160$
- $2 \times (\text{mg of vitamin B7}) \leq 169$
- $7 \times (\text{mg of vitamin B7}) \leq 160$
- $5 \times (\text{mg of potassium}) \leq 169$
- $1 \times (\text{mg of potassium}) \leq 160$

## 3: Additional constraints
- $4 \times (\text{grams of fiber}) + 5 \times (\text{mg of potassium}) \geq 33$
- $(\text{mg of vitamin K})^2 + (\text{mg of vitamin B2})^2 \geq 32$
- $4 \times (\text{grams of fiber}) + 3 \times (\text{mg of vitamin B2}) \geq 21$
- $(\text{mg of vitamin K}) + 2 \times (\text{mg of vitamin B7}) \geq 28$
- $(\text{mg of vitamin K}) + (\text{mg of vitamin B2}) + (\text{mg of vitamin B7}) \geq 16$
- $(\text{mg of vitamin K}) + (\text{mg of vitamin B2}) + (\text{mg of potassium}) \geq 16$
- $(\text{mg of vitamin B2}) + (\text{mg of vitamin B7}) + (\text{mg of potassium}) \geq 16$
- $(\text{mg of vitamin K}) + (\text{mg of vitamin B2}) + (\text{mg of vitamin B7}) \geq 28$
- $(\text{mg of vitamin K}) + (\text{mg of vitamin B2}) + (\text{mg of potassium}) \geq 28$
- $(\text{mg of vitamin B2})^2 + (\text{mg of vitamin B7})^2 + (\text{mg of potassium})^2 \geq 28$
- $(\text{mg of vitamin K}) + (\text{mg of vitamin B2}) + (\text{mg of vitamin B7}) \geq 32$
- $(\text{mg of vitamin K}) + (\text{mg of vitamin B2}) + (\text{mg of potassium}) \geq 32$
- $(\text{mg of vitamin B2}) + (\text{mg of vitamin B7}) + (\text{mg of potassium}) \geq 32$

## 4: Cardiovascular support index constraints
- $(\text{mg of vitamin K}) + (\text{mg of vitamin B2}) + (\text{mg of vitamin B7}) \geq 16$
- $3 \times (\text{grams of fiber}) + (\text{mg of vitamin K}) + (\text{mg of vitamin B2}) \geq 16$
- $(\text{mg of vitamin K}) + (\text{mg of vitamin B2}) + (\text{mg of vitamin B7}) \geq 24$
- $3 \times (\text{grams of fiber}) + (\text{mg of vitamin K}) + (\text{mg of vitamin B2}) \geq 24$

## 5: Upper bound constraints
- $(\text{mg of vitamin B7})^2 + (\text{mg of potassium})^2 \leq 62$
- $(\text{mg of vitamin K})^2 + (\text{mg of vitamin B2})^2 \leq 112$
- $(\text{grams of fiber})^2 + (\text{mg of vitamin K})^2 + (\text{mg of potassium})^2 \leq 134$
- $(\text{grams of fiber})^2 + (\text{mg of vitamin B2})^2 + (\text{mg of vitamin B7})^2 \leq 46$
- $(\text{grams of fiber}) + (\text{mg of vitamin B7}) + (\text{mg of potassium}) \leq 111$
- $(\text{mg of vitamin B2}) + (\text{mg of vitamin B7}) + (\text{mg of potassium}) \leq 83$
- $(\text{mg of vitamin K})^2 + (\text{mg of vitamin B2})^2 + (\text{mg of vitamin B7})^2 \leq 72$
- $(\text{grams of fiber}) + (\text{mg of vitamin K}) + (\text{mg of vitamin B2}) + (\text{mg of vitamin B7}) + (\text{mg of potassium}) \leq 72$

## 6: Final constraints
- $3 \times (\text{grams of fiber}) + 4 \times (\text{mg of vitamin B2}) \leq 138$
- $(\text{mg of vitamin B7}) + (\text{mg of potassium}) \leq 156$
- $3 \times (\text{grams of fiber}) + (\text{mg of vitamin K}) \leq 37$
- $(\text{mg of vitamin K}) + (\text{mg of potassium}) \leq 38$
- $(\text{grams of fiber}) + (\text{mg of vitamin B7}) \leq 120$
- $(\text{grams of fiber})^2 + (\text{mg of potassium})^2 \leq 104$
- $(\text{mg of vitamin B2}) + (\text{mg of vitamin B7}) \leq 53$
- $(\text{mg of vitamin B2}) + (\text{mg of potassium}) \leq 33$
- $(\text{grams of fiber}) + (\text{mg of vitamin B7}) + (\text{mg of potassium}) \leq 73$
- $(\text{grams of fiber}) + (\text{mg of vitamin K}) + (\text{mg of vitamin B7}) \leq 103$
- $(\text{grams of fiber}) + (\text{mg of vitamin K}) + (\text{mg of potassium}) \leq 42$

```python
import gurobi as gp

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

# Define variables
f = m.addVar(name="grams of fiber", lb=-gp.GRB.INFINITY, ub=gp.GRB.INFINITY)
k = m.addVar(name="mg of vitamin K", lb=-gp.GRB.INFINITY, ub=gp.GRB.INFINITY)
b2 = m.addVar(name="mg of vitamin B2", lb=-gp.GRB.INFINITY, ub=gp.GRB.INFINITY)
b7 = m.addVar(name="mg of vitamin B7", lb=-gp.GRB.INFINITY, ub=gp.GRB.INFINITY)
p = m.addVar(name="mg of potassium", lb=-gp.GRB.INFINITY, ub=gp.GRB.INFINITY)

# Objective function
m.setObjective(1 * f**2 + 4 * f * k + 2 * f * b7 + 8 * f * p + 
               4 * k * b2 + 9 * k * b7 + 7 * k * p + 
               3 * b2**2 + 7 * b2 * b7 + 3 * b2 * p + 
               3 * b7**2 + 5 * b7 * p + 
               2 * p**2 + 
               2 * k + 9 * b2 + 3 * b7 + 2 * p, gp.GRB.MAXIMIZE)

# Constraints
m.addConstr(4 * f <= 169)
m.addConstr(3 * f <= 160)
m.addConstr(4 * k <= 169)
m.addConstr(2 * k <= 160)
m.addConstr(3 * b2 <= 169)
m.addConstr(4 * b2 <= 160)
m.addConstr(2 * b7 <= 169)
m.addConstr(7 * b7 <= 160)
m.addConstr(5 * p <= 169)
m.addConstr(p <= 160)

m.addConstr(4 * f + 5 * p >= 33)
m.addConstr(k**2 + b2**2 >= 32)
m.addConstr(4 * f + 3 * b2 >= 21)
m.addConstr(k + 2 * b7 >= 28)
m.addConstr(k + b2 + b7 >= 16)
m.addConstr(k + b2 + p >= 16)
m.addConstr(b2 + b7 + p >= 16)
m.addConstr(k + b2 + b7 >= 28)
m.addConstr(k + b2 + p >= 28)
m.addConstr(b2**2 + b7**2 + p**2 >= 28)
m.addConstr(k + b2 + b7 >= 32)
m.addConstr(k + b2 + p >= 32)
m.addConstr(b2 + b7 + p >= 32)

m.addConstr(k + b2 + b7 >= 16)
m.addConstr(3 * f + k + b2 >= 16)
m.addConstr(k + b2 + b7 >= 24)
m.addConstr(3 * f + k + b2 >= 24)

m.addConstr(b7**2 + p**2 <= 62)
m.addConstr(k**2 + b2**2 <= 112)
m.addConstr(f**2 + k**2 + p**2 <= 134)
m.addConstr(f**2 + b2**2 + b7**2 <= 46)
m.addConstr(f + b7 + p <= 111)
m.addConstr(b2 + b7 + p <= 83)
m.addConstr(k**2 + b2**2 + b7**2 <= 72)
m.addConstr(f + k + b2 + b7 + p <= 72)

m.addConstr(3 * f + 4 * b2 <= 138)
m.addConstr(b7 + p <= 156)
m.addConstr(3 * f + k <= 37)
m.addConstr(k + p <= 38)
m.addConstr(f + b7 <= 120)
m.addConstr(f**2 + p**2 <= 104)
m.addConstr(b2 + b7 <= 53)
m.addConstr(b2 + p <= 33)
m.addConstr(f + b7 + p <= 73)
m.addConstr(f + k + b7 <= 103)
m.addConstr(f + k + p <= 42)

# Solve the model
m.optimize()

# Print the objective function value
print("Objective: ", m.objVal)

# Print the variable values
print("Grams of fiber: ", f.varValue)
print("Mg of vitamin K: ", k.varValue)
print("Mg of vitamin B2: ", b2.varValue)
print("Mg of vitamin B7: ", b7.varValue)
print("Mg of potassium: ", p.varValue)
```