Z = 4x1 + 5x2, subject to 2x1 + x2 ≥ 7, 2x1 + 3x2 ≤ 15, x2 ≤ 3, x1, x2 ≥ 0. The minimum value of Z occurs at
A. (3.5, 0)
B. (3, 3)
C. (7.5, 0)
D. (2, 3)
Answer:A
Z = 4x1 + 5x2, subject to 2x1 + x2 ≥ 7, 2x1 + 3x2 ≤ 15, x2 ≤ 3, x1, x2 ≥ 0. The minimum value of Z occurs at
A. (3.5, 0) B. (3, 3) C. (7.5, 0) D. (2, 3)