Given the following 2 constraints, which solution is a feasible solution for a minimization problem?
(1) 14x1 + 6x2 ≥ 42
(2) x1 + 3x2 ≥ 6
A) (x1, x2) = (0.5, 5).
B) (x1, x2) = (0, 4).
C) (x1, x2) = (2, 5).
D) (x1, x2) = (1, 2).
E) (x1, x2) = (2, 1).

Question

Quizplus · Accepted Answer

For option C, substituting x1 = 2 and x2 = 5 into both constraints: (1) 14(2) + 6(5) = 28 + 30 = 58 ≥ 42, and (2) 2 + 3(5) = 2 + 15 = 17 ≥ 6, satisfies both constraints, making it a feasible solution.

Given the Following 2 Constraints, Which Solution Is a Feasible