# GATE Questions & Answers of Simplex Method

## What is the Weightage of Simplex Method in GATE Exam?

Total 2 Questions have been asked from Simplex Method topic of Operations Research subject in previous GATE papers. Average marks 2.00.

Maximize $Z=5{x}_{1}+3{x}_{2}$,

Subject to

${x}_{1}+2{x}_{2}\le 10$,

${x}_{1}-{x}_{2}\le 8$,

${x}_{1}$, ${x}_{2}\ge 0$.

In the starting Simplex tableau, $x_1$ and $x_2$ are non-basic variable and the value of $Z$ is zero. The value of $Z$ in the next Simplex tableau is___________