Question No.14: Develop the objective function and the constraint equations for the following aggregate output problem. Assume an eight-hour, twenty-day month. Person-hour demands for the next six months are 35000,25000,40000,45000 and 30000 . The costs are as follows: Inventory holding cost: $0.30 /person-hours/month. Regular time payroll cost: \$6/person-hour. Overtime payroll cost: \$9/personhour. Hiring cost: \$300/worker. Layoff cost: \$500/worker. The initial status consists of a workforce of 220 workers and a current inventory of 10000 person-hours