Plan production for a four-month perlod: February through May. For February and March, you should produce to exact demand forecast. For Aprll 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 constralnts put a maximum of 5,000 hours of overtime labor per month in Aprll and May (zero overtime In February and March). If demand exceeds supply, then backorders occur. There are 110 workers on January 31. You are glven the following demand forecast: February, 81,000; March, 66,000; Aprll, 102,000; May, 42,000. Productlvity is three units per worker hour, elght hours per day, 25 days per month. Assume zero Inventory on February 1. Costs are: hiring, $51 per new worker; layoff, \$71 per worker lald off; Inventory holding, \$8 per unit-month; regular 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. Note: Leave the cells blank, whenever zero (0) is requlred. Negatlve values should be Indlcated by a minus sign. Round your answers to the nearest whole number