Find the values of x1 and x2 where the following two constraints intersect.1) 9x1 + 7x2 ≥ 57(2) 4x1 + 6x2 ≥ 13

Accepted Solution

Answer: [tex]x_1=9.654[/tex] and [tex]x_2=-4.269[/tex]Step-by-step explanation:Given : [tex]9x_1 + 7x_2 \geq 57[/tex]            [tex]4x_1 + 6x_2\geq 13[/tex]To Find : Find the values of [tex]x_1[/tex]and [tex]x_2[/tex] where the following two constraints intersect.Solution:[tex]9x_1 + 7x_2 \geq 57[/tex][tex]4x_1 + 6x_2\geq 13[/tex]Plot these constraints on the graph [tex]9x_1 + 7x_2 \geq 57[/tex]  --- Red[tex]4x_1 + 6x_2\geq 13[/tex]  --- BlueThe intersection point will provide the solutionSo, Intersection point = (9.654,-4.269)So, [tex]x_1=9.654[/tex] and [tex]x_2=-4.269[/tex]Refer the attached figure .