Ok... This is a good price for the work being done. If you imagine the stairs are worth $200/tread...it means the FLOOR portion reduces by that amount.
Eg. 10 treads x $200 = $2,000. You remove that amount.
Eg. $31,000 - $2,000 = $29,000 for floors.
Good. That gives us a TOTAL = $16.11/sf. NOW we are cooking with fire!
What is sitting in that #?
Remove Old floors = $2/sf
Subfloor prep = $2/sf
Install labour = $4/sf
That is a total labour cost = $8/sf
Leaving you with $8.11/sf for the wood.
Nothing wrong with the quote. A VERY GOOD engineered hardwood SHOULD be more expensive than solid!
It looks like you have found a good wood. Do not expect to save money with engineered hardwood. That's not its primary function.
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Great sofa
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