A manufacturer maximizes Z = 3x + 2y subject to x + y ≤ 4, x ≤ 2, y ≤ 3, and x, y ≥ 0. What is the maximum value of Z?
Correct answer: C. 10
- A. 8
- B. 9
- C. 10
- D. 12
Explanation
The relevant corner points include (2,2), (1,3), and the axis points. At (2,2), Z equals 3(2) + 2(2) = 10, which is greater than the values at the other feasible corners.
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