The Smith$$s Workshop produces hand$-$made clocks. It produces two types of clocks: Type A $$and Type B$.$ The total demand of Type A and Type B clock for next $6$ months is given in the $$following table. The company current has $10$ workers and each worker produces $2$ clocks per $$month$.$ The operations manager is preparing an aggregate production plan for next $6$ months. $$The opening inventory is $20$ clocks. $$Cost Data$$Regular$-$time labour cost $$2$ per clock Holding cost $$1$ per clock per month$$Overtime labour cost $$3$ per clock Hiring cost $$$$100$ per worker$$Subcontracting cost$$$$6$ per clock Firing cost $$$$50$ per worker $$Backorder cost $$3$ per clock $$Production: Max. overtime output $5$ clocks per month $1)$ Develop a level aggregate planning using $50$ clocks as a constant production rate. What is $$the total cost of this plan? $2)$ Develop a chase aggregate planning using on$-$hand inventory as early as possible. What is $$the total cost of this plan? $($No overtime and subcontracting used$)$Week$123456$Demand$305050605020$