ITPEC FE Subject A April 2024 Question 56
Source exam: ITPEC FE Subject A April 2024Topic: Management Strategy
ITPEC FE Subject A April 2024 — Question 56 of 60
Check all corner points of the feasible region (x ≥ 0, y ≥ 0, x + y ≤ 4):
| Point | Z = 3x + 4y |
|---|---|
| (0, 0) | 0 |
| (4, 0) | 12 |
| (0, 4) | 16 |
Maximum is at (0, 4) → Z = 16.
Why not others:
- (a) 12 — point (4, 0), wastes the higher coefficient on y
- (b) 14 — not a corner point of the feasible region
- (d) 18 — unreachable: with x + y ≤ 4, max is 4×4 = 16
Key rule: In LP problems, the maximum always occurs at a corner point. When y has a higher coefficient than x, maximize y first.
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