An automotive assembly plant makes four door sedans $($that have four seats$).$ They receive $1,800$ doors a day from one supplier and $1,\mathrm{}700$ seats a day from another. The plant has capacity to assemble $500$ sedans a day. Currently, customers demand $350$ sedans$/$day$.$ What is the cycle time? $($assume that each day has an $8-$hour shift$)$