Question

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

Answer 1

Here is the complete question:

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

0, 0), (0, 3), (2, 3), (5, 0)

(0, 0), (0, 5), (2, 3), (5, 0)

(0, 0), (2, 3), (5, 0)

(0, 3), (0, 5), (2, 3)

Answer:

1) line x + y = 5 and y = 3:

y = 3 => x + 3 = 5 => x = 5 - 3 => x = 2

= vertix = (2,3)

2) line x + y = 5 and y = 0

= y = 0 => x + 0 = 5 => x = 5

= vertix = (5,0)

3) line x + y = 5 and x = 0

= 0 + y = 5 => y = 5

=  (0,5) ------> this is not a vertix because it is above the line y = 3

4) line y = 3 and x-axis

= vertix = (0,3)

5) x-axis and y-axis = origin = vertix = (0,0)

So, there are four vertices: (0,0), (5,0), (2,3) and (0,3)

So the correct answer is the first option :(0, 0), (0, 3), (2, 3), (5, 0)