Target Exam

CUET

Subject

-- Applied Mathematics - Section B2

Chapter

Linear Programming

Question:

Maximise $Z = 3x + 4y$ (if possible) subject to constraints $x-y≤-1,-x + y ≤0, x, y ≥0$.

Options:

10

12

7

No maximum value

Correct Answer:

No maximum value

Explanation:

The correct answer is Option (4) → No maximum value

We draw the lines $x - y = -1$ and $y = x$. Shade the region satisfied by the given inequations. As we can see that there is no feasible region.

∴ No maximum value of Z.