The linear programming problem max.(z)

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Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Linear Programming

Question:

The linear programming problem

max.(z) = 5x + 7y

Subject to

x + y ≥10

3x + 5y ≤ 15, x ≥ 0, y ≥ 0 :

Options:

has unique optimal solution

is infeasible

has multiple optimal solutions

is feasible and unbounded

Correct Answer:

is infeasible

Explanation:

x + y ≥10 3x + 5y ≤ 15 x, y ≥ 0

Region is not feasible

Option: B