The feasible region represented by the inequalities 2x + 3y 18, x + y 10, x 0, y 0 is

MHT CET 2022 Mathematics question

Not in JEE syllabus

The feasible region represented by the inequalities , , , is

(A)a finite set
(B)unbounded
(C)bounded
(D)an empty setCorrect

Answer: (D)

Solution

In the first quadrant (), the constraint gives the triangle with vertices , , . On this triangle, is largest at a vertex: , and respectively, so the maximum is . But the second constraint requires ,

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Question ID VK-095981