Suppose you want to develop an aggregate operations plan for a product family, whose aggregate demands are given below:Period JanFebMarDemand$210220190$ProductionInventory Level Beginning EndingAssume:Planning horizon $=3$ monthsInitial inventory $=10$ unitsTarget inventory level of $20$ units at the end of each month $($in chase plan$)$Target inventory level of $20$ units at the end of planning horizon $($in level plan$)$Same number of working days in each month$($a$)$ In the level plan, what should be the monthly production quantity? units$($b$)$ In the level plan, what will be the inventory level at the end of Jan? units$($c$)$ In the chase plan, what should be the production quantity in January? units