Question

I'm marking answers as brainliest ----- One of the vertices for this linear programming problem is __________. ----- (1,2) (3.5,0) (0,2.3) (0,0)

Answer 1

Answer:

(0,2.3)    if only one choice expected.

(0,2.3) and (0,0)  if "all that apply" expected, since (0,0) is also a vertex of the green region.

Step-by-step explanation:

From the attached diagram, the given answer optsions are shown in brown.

The red line shows the optimal combinations of the two variables, hence a maximization problem.

Out of the four answer options, two coincide with a vertice of the valid region (shown in green), namely (0,0) and (0, 2.3).

Out of the two indicated options which correspond to a vertex, the origin (0,0) is usually ignored for a maximization problem, which leaves us with (0,2.3) as the answer.