Page Heating Inc. constructs air conditioning and heating systems for hospitals. The expected demand and production days for the next 6 months are as follows. Expected demand ProductionDemand/ days day month jan 900 20 45 feb 1000 20 50 mar 600 20 30 apr 800 20 40 may 800 20 40 jun 700 20 35 Cost and other required information for the company is given in the following Table. Inventory carrying cost $5 per unit per month Subcontracting cost per unit $30 per unit Average pay rate $8 per hour($64 per day) $12 per hour Overtime pay rate (above 8 hours per day) Labor-hours to produce a unit 2 hours per unit Cost of increasing daily production rate (hiring and training) $300 per unit Cost of decreasing daily production rate (layoffs) $600 per unit Develop an aggregate production plan using constant workforce (i.e. a level strategy) and overtime if necessary, and compute the total cost of this plan. Assume that the firm starts with zero inventory and exact number of workers required for average production in the next 6 months. Every worker works for 8 hours per day in regular time. Develop an aggregate production plan using constant workforce (i.e. a level strategy) and overtime if necessary, and compute the total cost of this plan. Assume that the firm starts with zero inventory and exact number of workers required for average production in the next 6 months. Every worker works for 8 hours per day in regular time. Write '0" (zero) if no ending inventory or overtime exists for that month. Write the big numbers without commas, e.g. 2300. Months Demand Number of workers Monthly Production overtime Ending Inventory Jan 900 Feb 1000 Mar 600 Apr 800 May 800 Jun 700 0 Total cost = regular labor cost + overtime cost + inventory holding cost = (6*20) days*$64/day + $12/hr42 hr/unit* + $5* = $ Does subcontracting increase or decrease costs