For the constraints given below, which point is in the feasible region of this maximization problem? (1) 14x + 6y ≤ 42 (2) x - y ≤ 3 (3) x, y ≥ 0
A) x = 2, y = 1
B) x = 1, y = 5
C) x = -1, y = 1
D) x = 4, y = 4
E) x = 2, y = 8

Question

Quizplus · Accepted Answer

Substituting the values of x and y in the constraints:
(1) 14(2) + 6(1) = 34 ≤ 42
(2) 2 - 1 = 1 ≤ 3
(3) 2, 1 ≥ 0
All constraints are satisfied, and thus point (2,1) is in the feasible region.

For the Constraints Given Below, Which Point Is in the Feasible