Question: A linear program and its final simplex table are given below:MaxZ=3x1+5x2Subject to: x1≤42x2≤123x1+2x2≤18x1,x2≥0Final Simplex Table(i) Compute the range of optimality for the coefficient of x1. Write your answers into thefollowing boxes ( 2 marks)::≤Cx1≤(ii) Compute the range of feasibility (right-hand-side values) for Constraint 1.Write your answers

A linear program and its final simplex table are given below:

MaxZ$=3x_1+5x_2$

Subject $to$:

$x_1\le 4$

$2x_2\le 12$

$3x_1+2x_2\le 18$

$x_1,x_2\ge 0$

Final Simplex Table

$(i)$ Compute the range $of$ optimality for the coefficient $of{x}_1.$ Write your answers into the

following boxes $(2$ marks$)$::

$\le C_{x_1}\le$

$(ii)$ Compute the range $of$ feasibility $(right-$hand$-$side values$)$ for Constraint $1.$Write your answers into the following boxes $(2$ marks$)$::

$\le b_1\le$