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