2 3 5 2- (10 points) The following table gives the results of an aggregate production plan. Net Demand Number of Regular Production Overtime Production Inventory Month (units) Workers (units) (units) (units) 1 10000 20 10000 15000 20 20000 5000 30000 30 25000 35000 50 40000 5000 6 40000 50 30000 5000 7 45000 40 40000 5000 8 30000 40 35000 5000 Each product requires 2 hours to produce. At the beginning of the planning period, there are 30 workers in the factory. Use the cost information given below and calculate the resulting total cost function of the given solution. Cost Value Holding Cost $3/product/month Hiring Cost $800/worker Firing Cost S1200/worker Payroll $2000/worker/month Overtime Cost $5 /worker/hour