1 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 beld constant through May. However, government constraints put a maximum of 5,000 hours of overtime labor per month in April and May (rero 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, 60480; Aprit, 100.160: May 40160 Productivity is four units per worker hout eight bours per day 2 days per month. Assume zero inventory on February 1 Costs are firing, $52 per new worker ayoll $72 per worker laid off inventory Holding, 58 per unit-month regular time labor, 58 per hour overtime. $12 per hour backorder. $16 per unit Develop a production plavand calculate the total cost of this plan Note. Assume any layotts occur at beginning of next month (Lenve the cells blank, whenever zero (O) is required. Negative volues should be indicated by a minus sign. Round your answers to the nearest whole number.) February 00340 March 00:00 April 100160 May 40,760 Forecast Bing into Production and Production house Has won Rhe production Overtrou Ovom punun Eng buruur 1 Tod production Ending inventory Ending backorders W rad Workers and of February March April May Overtime end