The Air Force Museum Foundation has commissioned the purchase of $16$ Four F Sixes, pre$-$World War Il aircraft. They will be built completely from scratch to the exact specifications used for the originals. As further authentication, the aircraft will be made using the technology and manufacturing processes available when the originals were built. Each of the $16$ airplanes will be flown to Air Force and aviation museums throughout the country for exhibition. Aviation enthusiasts can also visit the production facility to see exactly how such aircraft were built in $1938.$

Soren Industries wants to bid on the aircraft contract and asked for and received certain cost information about the Four F Sixes from the Air Force. The information includes some of the old cost data from the builders of the original aircraft. The available information is for the total accumulated time as the $1$ st$,8$th$,$ and $32$ nd aircrafts, respectively, were completed. The data reflect a learning rate of $90\%.$

$\backslash$table$[[$Output$,$Total Hours$],[1,850],[8,4,957],[32,16,061]]$

Required:

If Soren Industries expects that the manufacturing time and learning rate will be the same as it was in $1938,$ how many hours will it take to build the $16$ aircraft for the Air Force Museum Foundation? Assume also that the learning that took place in the $1930$ s is no longer applicable, and that learning begins anew at $850$ hours for the first unit. $($Do not round intermediate calculations. Round you final answer to the nearest whole number.$)$

Estimated hours

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