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; stablo 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 95 workers on January 31. You are given the following demand forecast: February, 80,256; March, 66,880, April, 100,120; May, 40,120. Productivity is four units per worker hour, eight hours per day, 22 deys per month. Assume zero inventory on Fobruary 1 . Costs are hiring, $44 per new worker, layoff, $64 per worker laid off, invertory holding, $8 per unit-month; straight, time labor, $8 per hour: overtime, $12 per hour, backorder, $16 per unit. Develop a production plan and caiculate the total cost of this plan. Note: Assume any layoffs occur at beglinning 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.)