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

For A) x = 2, y = 1:(1) 14(2) + 6(1) = 28 + 6 = 34 < 42, satisfies.(2) 2 - 1 = 1 < 3, satisfies.(3) x = 2 ≥ 0 and y = 1 ≥ 0, satisfies.For B) x = 1, y = 5:(1) 14(1) + 6(5) = 14 + 30 = 44, does not satisfy as 44 is not less than 42.For C) x = -1, y = 1:(3) x = -1 is not greater than or equal to 0, does not satisfy.For D) x = 4, y = 4:(1) 14(4) + 6(4) = 56 + 24 = 80, does not satisfy as 80 is not less than 42.(2) 4 - 4 = 0 < 3, but fails (1).For E) x = 2, y = 8:(1) 14(2) + 6(8) = 28 + 48 = 76, does not satisfy as 76 is not less than 42.Only option A satisfies all the given constraints.