The constraints of a problem are listed below. What are the vertices of the feasible region?

2x+3y≤6
2x-6y≥-3
x≥0
y≥0

which of this are the answers
(0, 0), (0, 0.5), (0, 2), (3, 0)
(0, 0), (0, 2), (1.5, 1), (3, 0)
(0, 0), (0, 0.5), (1.5, 1), (3, 0)
(0, 0), (0, 0.5), (1, 1.5), (3, 0)

Respuesta :

The vertices are the following intersection points:

1) y = 0 and x 0 0 => (0,0)

2) x = 0 and 2x - 6y = - 3  => (0, 1/2) = (0, 0.5)

3) 2x + 3y = 6 and 2x - 6y = - 3 => (3/2, 1) = (1.5, 1)

4) y = 0 and 2x + 3y = 6 => (3,0)

Answer: (0,0) , (0, 0.5) (1.5, 1), (3, 0) = the third option.


Answer:

C

Step-by-step explanation: