Centipede has asked you to develop a chase plan for production of its$$earth moving equipment. Below is the beginning inventory,$$forecasted monthly demand, and relevant work information.$$Determine the total hire$/$fire costs and the number of workers$$employed at the end of October. The ending inventory for October$$should be zero.$$Month July August September$$October$$Demand $3,3003,0002,5502,400$Beginning inventory $1,200$Hire Cost $$50$ per worker$$Fire Cost $$100$ per worker$$Production Rate $15$ units per month per worker$$Starting work force $200$ workers