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A contractor wants to hire various sub-contractors to work for him on a job. Each of the subs have tendered the sealed bids as follows:
| Job Part | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | Cost | Special conditions |
| Bid ID | ||||||||||
| A1 | Y | Y | Y | Y | 8 | None | ||||
| A2 | Y | Y | Y | Y | 10 | |||||
| A3 | Y | Y | Y | Y | Y | Y | Y | Y | 16 | |
| B1 | Y | Y | Y | 4 | Brother-in-law (at least one job) and minority contractor (10%) | |||||
| B2 | Y | Y | 5 | |||||||
| C1 | Y | Y | 2 | Small contractor with small work force (maximum 2 jobs) | ||||||
| C2 | Y | Y | Y | 3 | ||||||
| C3 | Y | Y | Y | 2 | ||||||
| C4 | Y | Y | Y | Y | Y | 4 | ||||
| D1 | Y | Y | 3 | Minority contractor (minorities must get at least 10% of award) | ||||||
| D2 | Y | Y | Y | 5 | ||||||
| E1 | Y | Y | Y | Y | 10 | New contractor (maximum bond – $18) | ||||
| E2 | Y | Y | 6 | |||||||
| E3 | Y | Y | Y | 8 | ||||||
A different problem, unrelated to the previous problem:
| Job Part | 1 | 2 | 3 | Cost |
| Bid ID | ||||
| A | Y | Y | Y | 20 |
| B | Y | Y | 6 | |
| C | Y | Y | 8 | |