Match List I with List II LIST I LIST II A. The region represented by $x≥0, y ≥0$ I. no feasible region B. The region represented by the inequalities $2x+y≥3,x+2y≥6,x, y≥0$ II. Ist quadrant C. The region represented by the inequalities $x+2y ≤8,3x+2y ≤ 12, x,y ≥0$ III. unbounded D. The region represented by the inequalities $x+2y≤2, 3x+5y ≥15,x, y≥0$ IV. bounded Choose the correct answer from the options given below :

A-I, B-II, C-III, D-IV A-IV, B-I, C-II, D-III A-II, B-III, C-IV, D-I A-III, B-IV, C-I, D-II

A-II, B-III, C-IV, D-I

The correct answer is Option (3) → A-II, B-III, C-IV, D-I (A) $x≥0, y ≥0$ → (II) Ist quadrant (B) $2x+y≥3,x+2y≥6,x, y≥0$ Unbounded region → (III) (C) $x+2y ≤8,3x+2y ≤ 12, x,y ≥0$ Bounded feasible region → (IV) (D) $x+2y≤2, 3x+5y ≥15,x, y≥0$ No feasible region → (I)