CA Foundation P3 · Chapter 3 · Question 4 of 8
Subject to x + y ≤ 6, x ≤ 4, x ≥ 0, y ≥ 0, the maximum value of Z = 5x + 4y is:
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: C) 28
Explanation
The corner points of the feasible region are (0, 0), (4, 0), (4, 2) and (0, 6). Z takes values 0, 20, 5(4) + 4(2) = 28 and 24 respectively. The maximum is 28 at (4, 2). The value 30 comes from the point (6, 0), which violates x ≤ 4.
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