A gear box is being designed to have a reliability of at least 99.98%. Three vendors offer gear sets which meet the functional requirements of the gear box, and have reliabilities and costs shown in the table. What combination of gear sets will achieve the desired reliability at the least cost? You can use as many gear sets from each vendor or combination of vendors as needed.
Vendor | Reliability | Cost ($) |
a | 0.95 | 50 |
b | 0.93 | 40 |
c | 0.90 | 35 |
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