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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.

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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 960,1,510, and 1,210, 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 510 units. Manufacturing cost is $3,000 per unit, storage cost is $5 per unit per month (based on expected end-of-month levels, standard pay rate is $21 per hour, hiring and training cost is $3,000 per worker, layoff cost is $4,000 per worker, and worker productivity is 0.1 unit per hour. Assume that you start off with 48 workers and that they work 8 hours per day. Note: 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. \begin{tabular}{|l|r|r|r|} \hline Forecast & January & February & \multicolumn{1}{|c|}{ March } \\ \hline Safety stock required & 960 & 1,510 & 1,210 \\ \hline Working days & 480 & 755 & 605 \\ \hline Beginning inventory & & & \\ \hline Net production required & 510 & 483 & 767 \\ \hline Hours required & 930 & 1,782 & 1,048 \\ \hline Workers required & & & \\ \hline Hired & 53 & 118 & 63 \\ \hline Laid off & 5 & 65 & 0 \\ \hline Actual production & 0 & 0 & 55 \\ \hline Ending inventory & 933 & 1,794 & 1,058 \\ \hline \end{tabular} \begin{tabular}{|l|l|l|r|} \hline & \multicolumn{2}{|c|}{ January } & \multicolumn{2}{|c|}{ Fobruary } & \multicolumn{2}{|c|}{ March } \\ \hline Labor cost & & & \\ \hline Inventory cost & 2,415 & & \\ \hline Hiring cost & & & \\ \hline Layoff cost & & & \\ \hline Total cost & & & \\ \hline Total & & & \\ \hline \end{tabular}

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