## Step 1: Define the optimization problem and the objective function
The objective function to minimize is $1.91 \times \text{steaks} + 5.34 \times \text{strips of bacon} + 5.06 \times \text{sashimi} + 9.14 \times \text{green beans}$.

## 2: Define the variables and their attributes
Let $x_0 = \text{steaks}$, $x_1 = \text{strips of bacon}$, $x_2 = \text{sashimi}$, and $x_3 = \text{green beans}$. The attributes of each variable are given as:
- $r_0$: umami index
- $r_1$: tastiness rating
- $r_2$: sourness index

With specific values:
- $r_0$: $x_0$ has 8, $x_1$ has 6, $x_2$ has 7, $x_3$ has 6
- $r_1$: $x_0$ has 7, $x_1$ has 7, $x_2$ has 10, $x_3$ has 14
- $r_2$: $x_0$ has 16, $x_1$ has 7, $x_2$ has 6, $x_3$ has 15

And upper bounds for $r_0$, $r_1$, $r_2$ are 195, 178, 205 respectively.

## 3: Formulate the constraints
### Minimum Constraints
1. $8x_0 + 6x_3 \geq 19$
2. $6x_1 + 6x_3 \geq 30$
3. $8x_0 + 7x_2 \geq 47$
4. $6x_1 + 7x_2 \geq 21$
5. $8x_0 + 6x_1 + 7x_2 \geq 41$
6. $8x_0 + 6x_1 + 7x_2 + 6x_3 \geq 41$
7. $7x_1 + 10x_2 \geq 34$
8. $10x_2 + 14x_3 \geq 35$
9. $7x_1 + 14x_3 \geq 20$
10. $7x_0 + 7x_1 + 10x_2 + 14x_3 \geq 20$
11. $6x_2 + 15x_3 \geq 17$
12. $16x_0 + 7x_1 \geq 45$
13. $16x_0 + 7x_1 + 6x_2 + 15x_3 \geq 45$
14. $-6x_2 + 5x_3 \geq 0$

### Maximum Constraints
15. $7x_2 + 6x_3 \leq 101$
16. $8x_0 + 6x_3 \leq 160$
17. $8x_0 + 7x_2 + 6x_3 \leq 142$
18. $6x_1 + 7x_2 + 6x_3 \leq 78$
19. $8x_0 + 6x_1 + 6x_3 \leq 77$
20. $16x_0 + 6x_2 \leq 147$
21. $16x_0 + 7x_1 \leq 126$
22. $6x_2 + 15x_3 \leq 124$
23. $7x_1 + 15x_3 \leq 180$
24. $7x_1 + 6x_2 \leq 143$

## 4: Implement the optimization problem in Gurobi
```python
import gurobi

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

    # Define variables
    steaks = model.addVar(lb=-gurobi.GRB.INFINITY, ub=gurobi.GRB.INFINITY, name="steaks")
    strips_of_bacon = model.addVar(lb=-gurobi.GRB.INFINITY, ub=gurobi.GRB.INFINITY, name="strips_of_bacon")
    sashimi = model.addVar(lb=-gurobi.GRB.INFINITY, ub=gurobi.GRB.INFINITY, name="sashimi")
    green_beans = model.addVar(lb=-gurobi.GRB.INFINITY, ub=gurobi.GRB.INFINITY, name="green_beans")

    # Objective function
    model.setObjective(1.91 * steaks + 5.34 * strips_of_bacon + 5.06 * sashimi + 9.14 * green_beans, gurobi.GRB.MINIMIZE)

    # Constraints
    model.addConstr(8 * steaks + 6 * green_beans >= 19)
    model.addConstr(6 * strips_of_bacon + 6 * green_beans >= 30)
    model.addConstr(8 * steaks + 7 * sashimi >= 47)
    model.addConstr(6 * strips_of_bacon + 7 * sashimi >= 21)
    model.addConstr(8 * steaks + 6 * strips_of_bacon + 7 * sashimi >= 41)
    model.addConstr(8 * steaks + 6 * strips_of_bacon + 7 * sashimi + 6 * green_beans >= 41)
    model.addConstr(7 * strips_of_bacon + 10 * sashimi >= 34)
    model.addConstr(10 * sashimi + 14 * green_beans >= 35)
    model.addConstr(7 * strips_of_bacon + 14 * green_beans >= 20)
    model.addConstr(7 * steaks + 7 * strips_of_bacon + 10 * sashimi + 14 * green_beans >= 20)
    model.addConstr(6 * sashimi + 15 * green_beans >= 17)
    model.addConstr(16 * steaks + 7 * strips_of_bacon >= 45)
    model.addConstr(16 * steaks + 7 * strips_of_bacon + 6 * sashimi + 15 * green_beans >= 45)
    model.addConstr(-6 * sashimi + 5 * green_beans >= 0)

    model.addConstr(7 * sashimi + 6 * green_beans <= 101)
    model.addConstr(8 * steaks + 6 * green_beans <= 160)
    model.addConstr(8 * steaks + 7 * sashimi + 6 * green_beans <= 142)
    model.addConstr(6 * strips_of_bacon + 7 * sashimi + 6 * green_beans <= 78)
    model.addConstr(8 * steaks + 6 * strips_of_bacon + 6 * green_beans <= 77)
    model.addConstr(16 * steaks + 6 * sashimi <= 147)
    model.addConstr(16 * steaks + 7 * strips_of_bacon <= 126)
    model.addConstr(6 * sashimi + 15 * green_beans <= 124)
    model.addConstr(7 * strips_of_bacon + 15 * green_beans <= 180)
    model.addConstr(7 * strips_of_bacon + 6 * sashimi <= 143)

    # Optimize the model
    model.optimize()

    # Print the solution
    if model.status == gurobi.GRB.OPTIMAL:
        print("Objective: ", model.objval)
        print("Steaks: ", steaks.varValue)
        print("Strips of bacon: ", strips_of_bacon.varValue)
        print("Sashimi: ", sashimi.varValue)
        print("Green beans: ", green_beans.varValue)
    else:
        print("The model is infeasible")

optimize_problem()
```