They can follow a pattern like this:
1) What is the cheapest solution and by how much?
2) What is the quickest solution and by how much?
3) What sacrifices on terms of efficiency, performance, power consumption are needed to implement either requirement?
4) How many sacrifices will be needed?
5) Will user experience be affected and how?
If both stakeholders consider this, they'll be able to resolve the contradiction by choosing either approach.
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