A large St. Louis feed mill, Robert Orwig Processing, prepares its 6-month aggregate plan by forecasting demand for 50-pound bags of cattle feed as follows: January, 1 comma 100 bags; February, 1 comma 500; March, 1 comma 350; April, 1 comma 550; May, 1 comma 600; and June, 1 comma 600. The feed mill plans to begin the new year with no inventory left over from the previous year and backorders are not permitted. It projects that capacity (during regular hours) for producing bags of feed will remain constant at 900 until the end of April, and then increase to 1 comma 200 bags per month when a planned expansion is completed on May 1. Overtime capacity is set at 400 bags per month until the expansion, at which time it will increase to 500 bags per month. A friendly competitor in Sioux City, Iowa, is also available as a backup source to meet demand long dash but can provide only 300 bags total during the 6-month period. Develop a