## Step 1: Define the symbolic representation of the problem
The problem involves two variables: 'milligrams of vitamin B5' and 'milligrams of zinc'. Let's denote 'milligrams of vitamin B5' as $x_1$ and 'milligrams of zinc' as $x_2$. The objective function to maximize is $5.62x_1 + 5.08x_2$. The constraints are:
1. $7x_1 + 8x_2 \geq 11$
2. $7x_1 + 8x_2 \leq 40$
3. $9x_1 - 10x_2 \geq 0$
4. $x_1$ is a non-negative integer
5. $x_2$ is a non-negative real number

## Step 2: Express the problem in the required symbolic format
The symbolic representation of the variables is:
- $x_1$ for 'milligrams of vitamin B5'
- $x_2$ for 'milligrams of zinc'

The objective function is: $5.62x_1 + 5.08x_2$

The constraints are:
1. $7x_1 + 8x_2 \geq 11$
2. $7x_1 + 8x_2 \leq 40$
3. $9x_1 - 10x_2 \geq 0$

## 3: Convert the problem into Gurobi code
To solve this problem using Gurobi, we will use Python. We need to import the Gurobi library, create a model, add variables with their respective constraints, set the objective function, and then solve the model.

```python
import gurobi as gp

# Create a new model
model = gp.Model("optimization_problem")

# Define variables
x1 = model.addVar(vtype=gp.GRB.INTEGER, name="milligrams_of_vitamin_B5", lb=0)  # x1 is a non-negative integer
x2 = model.addVar(vtype=gp.GRB.CONTINUOUS, name="milligrams_of_zinc", lb=0)  # x2 is a non-negative real number

# Objective function: maximize 5.62*x1 + 5.08*x2
model.setObjective(5.62*x1 + 5.08*x2, gp.GRB.MAXIMIZE)

# Constraints
model.addConstr(7*x1 + 8*x2 >= 11, name="cardiovascular_support_index_min")
model.addConstr(7*x1 + 8*x2 <= 40, name="cardiovascular_support_index_max")
model.addConstr(9*x1 - 10*x2 >= 0, name="vitamin_zinc_constraint")

# Solve the model
model.optimize()

# Print the solution
if model.status == gp.GRB.OPTIMAL:
    print("Optimal solution found.")
    print(f"Milligrams of vitamin B5: {x1.varValue}")
    print(f"Milligrams of zinc: {x2.varValue}")
    print(f"Objective function value: {model.objVal}")
else:
    print("No optimal solution found.")
```

## 4: Provide the symbolic representation in the required format
```json
{
    'sym_variables': [('x1', 'milligrams of vitamin B5'), ('x2', 'milligrams of zinc')],
    'objective_function': '5.62*x1 + 5.08*x2',
    'constraints': [
        '7*x1 + 8*x2 >= 11',
        '7*x1 + 8*x2 <= 40',
        '9*x1 - 10*x2 >= 0'
    ]
}
```