Consider the system of linear inequalities aligned x+2y & 10

MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Programming · Linear Programming

Problem

Consider the system of linear inequalities

\begin{aligned} x+2y &\le 10,\\ x &\ge 0,\\ y &\ge 0. \end{aligned}

Answer the following questions. (i) Define the term "feasible region" for the above system of inequalities. (ii) Test whether the point

P(4,3)

belongs to the feasible region. Show all necessary working. (iii) Test whether the point

Q(6,3)

belongs to the feasible region. State clearly which inequality, if any, is violated.