Question

Please please help me with this

Answer 1

Answer:

  38

Step-by-step explanation:

The simplest (almost trivial) solution is to add the two inequalities:

  (x +3y) +(3x +2y) ≤ (13) +(25)

  4x +5y ≤ 38

The maximum value of P is 38.

_____

Perhaps more conventionally, you can graph the equations, or solve them to find the point of intersection of their boundary lines. That point is (x, y) = (7, 2), which is the point in the doubly-shaded solution space that gives the maximum value of P (puts the objective function line farthest from the origin).

__

In the attached graph, we have been a little sloppy, not applying the constraints that x, y ≥ 0. For the purpose of finding the requested solution, that is of no consequence.