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A manufacturer has a steady annual demand for 17,856 cases of sugar. It costs $8 to store 1 case for 1 year, $31 in setup

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A manufacturer has a steady annual demand for 17,856 cases of sugar. It costs $8 to store 1 case for 1 year, $31 in setup cost to produce each batch, and $19 to produce each case. (a) Find the number of cases per batch that should be produced to minimize cost. (b) Find the number of batches of sugar that should be manufactured annually

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