ITPEC FE Subject A April 2024 Question 54
ITPEC FE Subject A April 2024 — Question 54 of 60
Calculate profit per minute to rank production priority:
| Product | Profit/unit | Time/unit | Profit/min |
|---|---|---|---|
| X | $18 | 6 min | $3.00 |
| Y | $25 | 10 min | $2.50 |
| Z | $30 | 15 min | $2.00 |
Total capacity: 200 hours × 60 = 12,000 minutes
Greedy allocation (best profit/min first):
- X: 1,000 units × 6 min = 6,000 min → profit = $18,000
- Y: 6,000 min ÷ 10 = 600 units → profit = $15,000
- Z: no time left → $0
Total = $33,000
Why not others:
- (a) 26,250 — suboptimal product mix
- (b) 30,000 — ignores efficiency ranking
- (c) 31,500 — wrong priority order
Key rule: Sort by profit-per-minute (not profit-per-unit), then fill greedily up to demand limits.
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