Question

(The following questions are from the Textbook “Operations Research_ISBN:0131889230”, page 19-20)

Show in graphs the feasible space for each of the following questions:

            A)                     x₁ – x₂ ? 0

            B)                    -x₁+X₂ ? 0

            C)                     x₁ – 2x₂ ? 5

Answer 1

So, for drawing the required graph, we need to draw the line which is given.

A)x1-x2 0

First, draw the line x1-x2=0.

for that select some random coordinates, for example,

x1	1	2	3
x2	1	2	3

and if we joint this point we get the line, x1-x2=0.

Now test the condition on any of the parts which are divided by the line,

for example take a point, (1,2),

so, 1-2<0, which satisfy the condition and it is our feasible region.

B)-x1+x20

multiplying by -1 both the sides, we get,

=>x1-x20

which is same as the first case.

C)x1-2x25

Following the steps as A), we get,