A fruit grower has two systems for picking crops. In the first system, the pickers work individually and, because of their selectivity and care, this method yields more choice produce than regular produce. In the second system, four pickers work with a machine; while this method has a greater harvest, it yields less choice produce than regular produce and costs proportionately more due to the amounts of input and output for 1 hr of operating expense of the machine. The ration of each system are given in the following table: Input (workers hours) Output(bu) Cost($)
System 1 1 4 2 2
System 2 4 20 40 11
Weekly the grower must supply the retail outlet with 480 bu of choice produce and deliver 800 bu of regular to the local cannery, The grower has available 100 hr of labor per week- Determine an operating schedule that meets these demands and minimizes costs.