Final answer:
To maximize the objective function 10x + 35y subject to the given constraints, we can use the graphical method or linear programming software to find the optimal solution.
Step-by-step explanation:
The given problem is a linear programming problem where we need to maximize the objective function 10x + 35y subject to the given constraints:
- 8x + 6y ≤ 48
- 4x + y ≤ 20
- y ≥ 5
- x, y ≥ 0
To solve the problem, we can use graphical method or linear programming software to find the maximum values of x and y that satisfy all the constraints. The optimal solution will be the point where the line representing the objective function intersects the feasible region.