The programming problem Max Z = 2x + 3y

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Target Exam

CUET

Subject

-- Mathematics - Section A

Chapter

Determinants

Question:

The programming problem

Max Z = 2x + 3y subject to the conditions $0 \leq x \leq 3,0 \leq y \leq 4$ is :

Options:

not an LPP

an LPP, with unbounded feasible region and no solution

an LPP, and Max Z = 18, at x = 3, y = 4

an LPP, and Max Z = 12, at x = 0, y = 4

Correct Answer:

an LPP, and Max Z = 18, at x = 3, y = 4

Explanation:

Objective f → Z = 2x + 3y

constraints :

0 ≤ x ≤ 3

0 ≤ y ≤ 4