Mathematics · Linear Programming
Consider the following Linear Programming Problem (LPP): Maximize Z = 5x + 2y Subject to constraints: 3x + 5y ≤ 15, 5x + 2y ≤ 10, x ≥ 0, y ≥ 0. Which of the following statement groups is correct? (A) The LPP has a unique optimal solution at (2,0) only. (B) The feasible region is bounded with corner points (0,0), (2,0), (20/19, 45/19), and (0,3). (C) The maximum value of Z is 10. (D) The feasible region is unbounded. Choose the correct answer from the options given below:
- 1(B) and (C) only
- 2(A), (C) and (D) only
- 3(A), (B) and (C) only✓
- 4(A) and (D) only
Correct answer
(A), (B) and (C) only
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