ITPEC FE Morning April 2022 Question 78
ITPEC FE Morning April 2022 — Question 78 of 80
The problem gives:
- Profit: 40 per unit A, 30 per unit B → Objective: maximize 40x + 30y
- Capacity: A takes 3 person-hours, B takes 1 (3x shorter) → 3x + y ≤ 3,000
- Market ceiling for A: max 8,000 units → x ≤ 8,000
- Market ceiling for B: max 1,200 units → y ≤ 1,200
- Non-negativity: x ≥ 0, y ≥ 0
Only option (d) has all three constraints correct.
Why not others:
- (a) Uses 9y in capacity constraint (wrong coefficient) and ≥ for market limits (wrong direction — market max is an upper bound)
- (b) Uses 9y in capacity constraint — incorrect; B takes 1 person-hour, not 9
- (c) Has correct capacity constraint (3x + y) but uses ≥ for market limits — backwards; maximum sales = upper bound ≤
Key rule: "Maximum units that can be sold" = upper bound → use ≤, not ≥.
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.