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

The monthly forecasts for Product X for January, February, and March are $1,010,1,490,$ and $1,240,$ 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 $550$ units.

Storage cost is $$5$ per unit per month based on ending inventory level, standard pay rate is $$8$ per hour, hiring and training cost is $$260$ per worker, layoff cost is $$360$ per worker, and worker productivity is $0\mathrm{.}1$ unit per hour. Assume that you start off with $42$ 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.$)$