The Friendly Sausage Factory $($FSF$)$ can produce hot dogs at a rate of $6,000$ per day. FSF supplies hot dogs to local restaurants at a steady rate of $370$ per day. The cost to prepare the equipment for producing hot dogs is $$66.$ Annual holding costs are $48$ cents per hot dog. The factory operates $288$ days a year. Find the length $($in days$)$ of a run. $($Round your answer to the nearest whole number.$)$