Question

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

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).