Luther Textiles has a mill that produces three types of fabric on a make-to-order basis. The mill operates on a 24/7 schedule. The key decision facing the plant manager, Alice, is about the type of loom needed to process each fabric during the coming quarter (13 weeks) to meet the demands for the three fabrics and not exceed the capacity of the looms in the mill. Two types of looms are used: dobbie and regular. Dobbie looms can be used to make all fabrics and are the only looms that can weave certain fabrics, such as plaids. The mill has 15 regular looms and three dobbie looms. Any fabrics that cannot be woven in the mill because of limited capacity can be purchased from an external supplier. Therefore, Alice needs to determine which fabrics and in what quantities to buy externally and to produce in-house to minimize here total cost