ITPEC FE Subject A October 2024 Question 58
ITPEC FE Subject A October 2024 — Question 58 of 60
Variables: x = units of X, y = units of Y. Constraints:
- Material A: 2x + y ≤ 100
- Material B: x + 2y ≤ 80
Objective: maximize P = x + 1.5y
Find the intersection of both constraints:
- 2x + y = 100 and x + 2y = 80 → x = 40, y = 20
- P = 40 + 1.5×20 = 40 + 30 = 70
Why not others:
- (a) 50 — point (50, 0): produce only X, wastes Y's higher margin
- (b) 60 — point (0, 40): produce only Y, ignores X contribution
- (d) 80 — not achievable within given material constraints
Key rule: In linear programming, maximum profit always occurs at a corner point of the feasible region — check all constraint intersections.
AI-generated — may contain errors
The original exam layout is preserved in the image so diagrams, formulas, tables, and code remain accurate.
This question comes from an official ITPEC past paper. ITPEC Practice is an independent study tool and is not affiliated with ITPEC. See the official FE past-paper collection or Report an issue.