Question

The constraints of a problem are listed below. What are the vertices of the feasible region?
(0, 0), (0, 1), (4, 3), (7, 0)
(0, 1), (4, 3), (7, 0)
(0, 1), (0, 7), (2, 5)
(0, 1), (0, 7), (4, 3)

Answer 1

D. (0,1),(0,7),(4,3) is the correct answer just took test put C it was wrong C. is not the answer D. is

Answer 2

Answer:

The vertices of the feasible region are:

(0,1), (0,7) and (4,3).

Step-by-step explanation:

We can observe the graph of the following Linear programming problem (LPP) to see which are the vertices of the feasible region.

We are given constraints as:

$x+y\leq 7\\\\x-2y\leq -2\\\\x\geq 0\\\\y\geq 0$

We observe that the common feasible region of these constraints is a triangle hence it will have three vertices.

The vertices of the triangle formed by the feasible region are:

(0,1), (0,7) and (4,3).