Z = 7x + y, subject to 5x + y ≥ 5, x + y ≥ 3, x ≥ 0, y ≥ 0. The minimum value of Z occurs at
A. (3, 0)
B. \(\left(\frac{1}{2}, \frac{5}{2}\right)\)
C. (7, 0)
D. (0, 5)
Answer:D
Z = 7x + y, subject to 5x + y ≥ 5, x + y ≥ 3, x ≥ 0, y ≥ 0. The minimum value of Z occurs at
A. (3, 0) B. \(\left(\frac{1}{2}, \frac{5}{2}\right)\) C. (7, 0) D. (0, 5)