Maximize Z = 5x + 4y subject to 2x + y ≤ 8, x + 2y ≤ 8, and x, y ≥ 0. What is the optimal value of Z?
Correct answer: C. 24
- A. 20
- B. 22
- C. 24
- D. 26
Explanation
The two constraint boundaries intersect at x = y = 8/3. This gives Z = 5(8/3) + 4(8/3) = 24, which exceeds the axis-corner values of 20 and 16.
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