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The Friendly Sausage Factory $($FSF$)$ can produce hot dogs at a rate of $5,000$per day. FSF supplies hot dogs to local restaurants at a steady rate of $240$ per day. The cost to prepare the equipment for producing hot dogs is $$64.$ Annual holding costs are $44$ cents per hot dog. The factory operates $294$ days a year.

Find$$the optimal run size.

Note: Do not round intermediate calculations. Round your answer to the nearest whole number.

Find$$the number of runs per year.

Note: Round your answer to the nearest whole number.

Find$$the length $($in days$)$ of a run.

Note: Round your answer to the nearest whole number.