Maximize Z = 6x + 4y, subject to x ≤ 2, x + y ≤ 3, -2x + y ≤ 1, x ≥ 0, y ≥ 0.
A. 12 at (2, 0)
B. \(\frac{140}{3}\) at (\(\frac{2}{3}\), \(\frac{1}{3}\))
C. 16 at (2, 1)
D. 4 at (0, 1)
Answer:C
Maximize Z = 6x + 4y, subject to x ≤ 2, x + y ≤ 3, -2x + y ≤ 1, x ≥ 0, y ≥ 0.
A. 12 at (2, 0) B. \(\frac{140}{3}\) at (\(\frac{2}{3}\), \(\frac{1}{3}\)) C. 16 at (2, 1) D. 4 at (0, 1)