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

The monthly forecasts for the product X for January. February, and March are $920,1,560,$ and $1,270,$ 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 $400$ units.

Manufacturing cost is $$1,100$ per unit, storage cost is $$5$ per unit per month $($based on expected end$-$of$-$month levels, standard pay rate is $$24$ per hour, hiring and training cost is $$1,100$ per worker, layoff cost is $$2,100$ per worker, and worker productivity is $0\mathrm{.}1$ unit per hour. Assume that you start off with $44$ workers and that they work $8$ hours per day.

Note: Leave no cells blank $-$ be certaln to enter $"$O$"$ wherever required. Input all values as positive values. Round Workers Required up to next higher whole number. Round all other varlables to nearest whole number.

Answer is complete but not entirely correct.

$\backslash$table$[[,$January,February,March$],[$Forecast$,920,1\mathrm{.}560,1,270],[$Safety stock required,$4600,780$ e$,635],[$Working days,$06,00,0$