Pian production for a four-month period: February through May. For February and March, you should produce to exact demand forecast. For April and May, you should use overtime and inventory with a stable workforce; stable means that the number of workers needed for March will be held constant through May. However, government constraints put a maximum of 5,000 hours of overtime labor per month in April and May (zero overtime in February and March). If demand exceeds supply, then backorders occur. There are 110 workers on January 31. You are given the following demand forecast: February, 81,000, March, 66,000, Apri, 102,000, May, 42,000 Productivity is three units per worker hour, eight hours per day, 25 days per month. Assume zero inventory on February 1 Costs are hiring. $51 per new worker, layoft, $71 per worker laid off, inventory holding. $8 per unit-month; straight-time labor, $8 per hour: overtime, $12 per hour, backorder, $16 per unit Develop a production plan and calculate the total cost of this plan. Note: Assume any layoffs occur at beginning of next month. (Leave no cells blank - be certain to enter " 0 " wherever required. Negotive values should be indicoted by a minus sign. Round your onswers to the nearest whole number.) \begin{tabular}{|l|r|r|r|l|} \hline & February & March & April & May \\ \hline Forecast & 81,000 & 66,000 & 102,000 & 42,000 \\ \hline Beginning inventory & & & & \\ \hline Production required & & & & \\ \hline Production hours required & & & & \\ \hline Regular workforce & & & & \\ \hline Regular production & & & & \\ \hline Overtime hours & & & & \\ \hline Overtime production & & & & \\ \hline Total production & & & & \\ \hline Ending inventory & & & & \\ \hline Ending backorders & & & & \\ \hline Workers hired & & & & \\ \hline Workers laid off & & & & \\ \hline \end{tabular} \begin{tabular}{|l|l|l|l|l|} \hline & February & \multicolumn{1}{|c|}{ March } & April & May \\ \hline Straight time & & & & \\ \hline Overtime & & & & \\ \hline Inventory & & & & \\ \hline Backorder & & & & \\ \hline Hiring & & & & \\ \hline Layoff & & & & \\ \hline Total & & & \\ \hline Total cost & & & \\ \hline \end{tabular}