Let be the feasible region determined by the following system of inequalities:
MATHEMATICS · Multi-part · CBSE · Mathematics · Linear Programming · Linear Programming
Problem
Let R be the feasible region determined by the following system of inequalities:
(i) Sketch the boundary lines and shade the region R satisfying all four inequalities.
(ii) Show that the region R is unbounded.
(iii) A new inequality x+y≤7 is added to the system. Determine, with full justification, whether the feasible region remains unbounded after this addition.