Many of their hypotheticals selling their solution involve bitcoin mining to create cost savings:
>For example, one could build an internet-connected device that shared some portion of mined bitcoin between the user, the retailer, the handset maker, and the carrier — thereby reducing costs and/or increasing margins throughout the entire supply chain.
The most efficient mining chip I could find information about is the BM1384, which consumes 2.058W at the lowest power bracket. [1]
We would exhaust our 10% allotment in 15 minutes.
In those fifteen minutes our speed would be 8.25 gigahash per second, which would produce 0.000003542 BTC per day [2].
Our total income for 15 minutes of mining would be 0.00000003689583 BTC. [3][4]
At $237.7/BTC our 10% iPhone 5 battery life has been exchanged for $0.000008770 USD.
Assuming 0.17 USD power cost in the United States, the power cost would be 0.000085 USD. [5]
[0]: https://en.wikipedia.org/wiki/IPhone_5
[1]: https://www.bitmaintech.com/files/download/BM1384_Datasheet_...
[2]: https://bitcoinwisdom.com/bitcoin/difficulty
[3]: This number isn't even representable in Bitcoin, which maxes out at 8 decimal places of precision.
[4]: The reward halves in 62 weeks though.
[5]: https://en.wikipedia.org/wiki/Electricity_pricing#Price_comp...