Consider a Corner Point to a Linear Programming Problem,which Lies

Multiple Choice

Consider a corner point to a linear programming problem,which lies at the intersection of the following two constraints:
6X₁ + 15X₂ ≤ 390
2X₁ + X₂ ≤ 50
Which of the following statements about the corner point is true?

A) X₁ ≤ 21
B) X₁ ≥ 25
C) X₁ ≤ 10
D) X₁ ≥ 17