Poseidon meter, inc., makes a variety of water meters. data for the past year indicate a worker can make, on average, 100 meters per four-week period. the forecast for the next four periods is 1200, 1200, 1000, and 1000 meters, respectively. beginning inventory 0 unitsinitial workforce size 10 workersproduction and costswages $1,500/worker/periodinventory $1/meter/period (based on average inventory during each period)back order $2/meter/period (based on back orders at end of period)hiring $1,000/workerlayoff $2,000/workerdevelop a constant work force plan for the next four periods. summarize the plan, its costs, and its consequences.