Question

Find the values of x1 and x2 where the following two constraints intersect.

1) 9x1 + 7x2 ≥ 57

(2) 4x1 + 6x2 ≥ 13

Answer 1

Answer:

$x_1=9.654$ and $x_2=-4.269$

Step-by-step explanation:

Given : $9x_1 + 7x_2 \geq 57$

           $4x_1 + 6x_2\geq 13$

To Find : Find the values of $x_1$and $x_2$ where the following two constraints intersect.

Solution:

$9x_1 + 7x_2 \geq 57$

$4x_1 + 6x_2\geq 13$

Plot these constraints on the graph

$9x_1 + 7x_2 \geq 57$  --- Red

$4x_1 + 6x_2\geq 13$  --- Blue

The intersection point will provide the solution

So, Intersection point = (9.654,-4.269)

So, $x_1=9.654$ and $x_2=-4.269$

Refer the attached figure .