The Chewy Candy Company would like to determine an aggregate production plan for the next six months. The company makes many different types of candy but feels it can plan its total production in pounds provided that the mix of candy sold does not change too drastically. At the present time, the Chewy Company has 70 workers and 9.000 pounds of candy in inventory. Each worker can produce 100 pounds of candy per month and is paid $19 per hour (use 160 hours of regular time per month). Overtime, at a pay rate of 150 percent of regular time, can be used up to a maximum of 20 percent in addition to regular time in any month. It costs 80 cents to store a pound of candy for a year. $1.200 to hire a worker, and $1.500 to lay off a worker. The forecast for the next six months are 8,000, 10,000, 12,000, 8.000, 6.000, and 5,000 pounds of candy.