## Problem Description and Formulation

The problem is an optimization problem with a specific objective function and constraints. The goal is to minimize the objective function subject to the given constraints.

### Variables

- $x_0$: milligrams of vitamin B1
- $x_1$: milligrams of vitamin B7
- $x_2$: grams of carbohydrates
- $x_3$: grams of fiber

### Objective Function

Minimize: $8x_0 + x_1 + x_2 + 2x_3$

### Constraints

1. $0.98x_1 + 0.33x_2 + 1.43x_3 + 1.31x_0 \geq 44$
2. $0.85x_0 + 1.8x_2 \geq 60$
3. $1.8x_2 + 1.16x_3 \geq 49$
4. $0.85x_0 + 1.16x_3 \geq 56$
5. $0.85x_0 + 0.04x_1 + 1.8x_2 + 1.16x_3 \geq 56$
6. $9x_2 - 9x_3 \geq 0$
7. $-2x_1 + 9x_3 \geq 0$
8. $1.31x_0 + 0.33x_2 \leq 76$
9. $0.33x_2 + 1.43x_3 \leq 191$
10. $x_1$ is an integer

### Gurobi Code

```python
import gurobi

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

    # Define variables
    x0 = model.addVar(lb=-gurobi.GRB.INFINITY, ub=gurobi.GRB.INFINITY, name="milligrams of vitamin B1")
    x1 = model.addVar(lb=-gurobi.GRB.INFINITY, ub=gurobi.GRB.INFINITY, name="milligrams of vitamin B7", vtype=gurobi.GRB.INTEGER)
    x2 = model.addVar(lb=-gurobi.GRB.INFINITY, ub=gurobi.GRB.INFINITY, name="grams of carbohydrates")
    x3 = model.addVar(lb=-gurobi.GRB.INFINITY, ub=gurobi.GRB.INFINITY, name="grams of fiber")

    # Objective function
    model.setObjective(8 * x0 + x1 + x2 + 2 * x3, gurobi.GRB.MINIMIZE)

    # Constraints
    model.addConstr(0.98 * x1 + 0.33 * x2 + 1.43 * x3 + 1.31 * x0 >= 44, name="kidney_support_index_total_min")
    model.addConstr(0.85 * x0 + 1.8 * x2 >= 60, name="muscle_growth_index_B1_carbohydrates_min")
    model.addConstr(1.8 * x2 + 1.16 * x3 >= 49, name="muscle_growth_index_carbohydrates_fiber_min")
    model.addConstr(0.85 * x0 + 1.16 * x3 >= 56, name="muscle_growth_index_B1_fiber_min")
    model.addConstr(0.85 * x0 + 0.04 * x1 + 1.8 * x2 + 1.16 * x3 >= 56, name="muscle_growth_index_total_min")
    model.addConstr(9 * x2 - 9 * x3 >= 0, name="carbohydrates_fiber_balance")
    model.addConstr(-2 * x1 + 9 * x3 >= 0, name="vitamin_B7_fiber_balance")
    model.addConstr(1.31 * x0 + 0.33 * x2 <= 76, name="kidney_support_index_B1_carbohydrates_max")
    model.addConstr(0.33 * x2 + 1.43 * x3 <= 191, name="kidney_support_index_carbohydrates_fiber_max")

    # Optimize
    model.optimize()

    # Print solution
    if model.status == gurobi.GRB.OPTIMAL:
        print("Optimal Solution:")
        print(f"Milligrams of vitamin B1: {x0.varValue}")
        print(f"Milligrams of vitamin B7: {x1.varValue}")
        print(f"Grams of carbohydrates: {x2.varValue}")
        print(f"Grams of fiber: {x3.varValue}")
        print(f"Objective: {model.objVal}")
    elif model.status == gurobi.GRB.INFEASIBLE:
        print("The problem is infeasible.")
    else:
        print("The problem has a non-optimal status.")

solve_optimization_problem()
```