Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

Minimise $Z=-50x+20y$
subject to the constraints: $2x-y≥-5, 3x+y≥3, 2x-3y ≤ 12, x ≥0, y ≥0$.
Then which of the following is/are true:

(A) Feasible region is unbounded.
(B) Z has no minimum value.
(C) The minimum value of Z is 100.
(D) The minimum value of Z is -300.

Choose the correct answer from the options given below:

Options:

(A) and (B) only

(C) and (D) only

(A) and (C) only

(A), (C) and (D) only

Correct Answer:

(A) and (B) only

Explanation:

The correct answer is Option (1) → (A) and (B) only

∴ feasible region is unbounded.

∴ Z has no minimum value.