Find, to the nearest whole number, the optimum number of batches of an item that should be produced annually (in order to minimize cost) if 110 comma 000 units are to be made, it costs $2 to store a unit for one year, and it costs $500 to set up the factory to produce each batch. Assume that units of this item will be sold off throughout the year, so the cost equation will use the average storage cost.