(a) What is meant by the feasible region of a system of linear inequalities in two…
MATHEMATICS · Subjective · CBSE · Mathematics · Linear Programming · Linear Programming
Problem
(a) What is meant by the feasible region of a system of linear inequalities in two variables?
(b) Give a clear mathematical definition of each of the following with respect to a feasible region:
(i) bounded (ii) unbounded (iii) empty.
(c) Consider the pair of inequalities x+y≤4 and x+y≥10. Sketch both half–planes on the same coordinate plane and state which of the three types—bounded, unbounded or empty—is obtained. Give a brief reason for your answer.