Develop a production schedule to produce the exact production requirements by varying the workforce size for the following problem.

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The monthly forecasts for Product X for January, February, and March are $940,1,530,$ and $1,200,$ respectively. Safety stock policy recommends that half of the forecast for that month be defined as safety stock. There are $22$ working days in January, $19$ in February, and $21$ in March. Beginning inventory is $450$ units.

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Manufacturing cost is $$170$ per unit, storage cost is $$6$ per unit per month, standard pay rate is $$6$ per hour, hiring and training cost is $$170$ per worker, layoff cost is $$270$ per worker, and worker productivity is $0\mathrm{.}1$ unit per hour. Assume that you start off with $41$ workers and that they work $8$ hours per day. $($Leave no cells blank $-$ be certain to enter $"0"$ wherever required. Input all values as positive values. Round Workers Required up to next higher whole number. Round all other variables to nearest whole number.$)$