Final answer:
To maximize the objective function P = 3x + 5y, the constraints need to be graphed to identify the feasible region and to find the maximum value at the vertices, or an algorithm such as the Simplex method could be utilized.
Step-by-step explanation:
The question focuses on maximizing an objective function P = 3x + 5y, given certain constraints. A standard approach is to identify the constraints, but the provided information does not directly relate to the original linear programming problem. Instead, concepts such as full employment and output levels pertain to economics, not directly to this mathematical problem. However, to maximize the objective function, one would typically graph the constraints and identify the feasible region, then determine the values of x and y at the vertices of the feasible region or use linear programming techniques such as the Simplex method to find the maximum value of P.