Final answer:
To find the maximum value of p = 5x+6y subject to the given constraints, we need to use a method called linear programming.
Step-by-step explanation:
To find the maximum value of p = 5x+6y subject to the given constraints, we need to use a method called linear programming. The constraints are not explicitly mentioned in the question, but we can assume that they are inequalities involving x and y. Let's say the constraints are represented as follows:
- Constraint 1: 3x + 2y <= 12
- Constraint 2: x + y <= 6
- Constraint 3: x, y >= 0 (non-negativity constraint)
To solve this problem, we need to graph the feasible region formed by the intersection of these constraints. The corners or vertices of this region represent the potential maximum points.
We can substitute these coordinates into the objective function p = 5x + 6y to find the maximum value.