A large Saskatchewan feed mill, B. Swart Processing, prepares its six-month aggregate plan by forecasting demand for 50-pound bags of cattle feed as follows: January, 1000 bags; February, 1000; March, 1300; April, 1500; May, 1500; and June, 1400. The feed mill plans to begin the new year with no inventory

left over from the previous year, and backorders are not permit- ted. It projects that capacity (during regular hours) for producing

bags of feed will remain constant at 800 until the end of April, and then increase to 1100 bags per month when a planned expansion is completed on May 1. Overtime capacity is set at 300 bags per month until the expansion, at which time it will increase to 400 bags per month. A friendly competitor in Alberta is also available as a backup source to meet demandbut can provide only 500 bags total during the six-month period. Develop a six-month production plan for the feed mill using the transportation method. Cost data are as follows: Regular-time cost per bag (until April 30) $12.00 Regular-time cost per bag (after May 1) $11.00 Overtime cost per bag (during entire period) $16.00 Cost of outside purchase per bag $18.50 Carrying cost per bag per month $ 1.00