Consider the linear programming problem: Maximize z=10 x+5 y subject to the constraints 2 x+3 y ≤ 120 2 x+y ≤ 60 x, y ≥ 0 Then the coordinates of the corner points of the feasible region are

Question

Consider the linear programming problem: Maximize z=10 x+5 y subject to the constraints 2 x+3 y ≤ 120 2 x+y ≤ 60 x, y ≥ 0 Then the coordinates of the corner points of the feasible region are (A) (0,0),(30,0),(0,40) and (15,30) (B) (0,0),(60,0),(0,40) and (15,30) (C) (0,0),(30,0),(0,60) and (15,30) (D) (0,0),(30,0),(0,40) and (30,40)

Tardigrade Admin · Accepted Answer

Correct answer is (a) (0,0),(30,0),(0,40) and (15,30)

Q. Consider the linear programming problem:
Maximize $z = 10 x + 5 y$ subject to the constraints
$2 x + 3 y \leq 120$
$2 x + y \leq 60$
$x, y \geq 0$
Then the coordinates of the corner points of the feasible region are

$(0, 0), (30, 0), (0, 40)$ and $(15, 30)$

$(0, 0), (60, 0), (0, 40)$ and $(15, 30)$

$(0, 0), (30, 0), (0, 60)$ and $(15, 30)$

$(0, 0), (30, 0), (0, 40)$ and $(30, 40)$

$(0, 0), (60, 0), (0, 40)$ and $(30, 40)$

Correct answer is (a) $(0, 0), (30, 0), (0, 40)$ and $(15, 30)$

Q. Consider the linear programming problem: Maximize z=10x+5y subject to the constraints 2x+3y≤120 2x+y≤60 x,y≥0 Then the coordinates of the corner points of the feasible region are

(0,0),(30,0),(0,40) and (15,30)

(0,0),(60,0),(0,40) and (15,30)

(0,0),(30,0),(0,60) and (15,30)

(0,0),(30,0),(0,40) and (30,40)

(0,0),(60,0),(0,40) and (30,40)