Plan 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 90 workers on January 31. You are given the following demand forecast: February, 80,640; March, 60,480; April, 100,160; May, 40,160. Productivity is four units per worker hour, eight hours per day, 21 days per month. Assume zero inventory on February 1. Costs are hiring, $52 per new worker; layoff, $72 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 "O" wherever required. Negative values should be indicated by a minus sign. Round your answers to the nearest whole number.) March February 80,640 April 100,160 Forecast 60,480 May 40,160 0 x 0 0 0 80,640 60,480 Beginning inventory Production required Production hours required Regular workforce Regular production 100,160 40,160 X 60,480 X 60,480 X 60,480 X 60,480 X 0 x 0 x 0 x 0 X 0 x 0 x 0 x Overtime hours 0 0 0 0 0 0 20,000 0 60,480 X 60,480 80,480 Overtime production Total production Ending inventory Ending backorders Workers hired 60,480 20,320 X 0 0 0 20,160 X 19,680 0 O O 0 0 0 Workers laid off 0 0 x 0 0 March February $ 60,480 X $ May 60,480 X Straight time April 60,480 X $ 20,000 X 60,480 X $ Overtime 0 0 0 Inventory 0 0 0 0 X Backorder 20,160 X 0 19,680 X 0 0 x 0 0 0 Hiring Layoff 0 0 x 0 Total $ 80,640 $ 60,480 X $ 100,160 X $ 60,480 X $ 1,181,280 X Total cost