The annual demand for an item is 40,000 units. The cost to process an order is $40 and the annual inventory holding cost is $3 per item per year. What is the optimal order quantity, given the following price breaks for purchasing the item? Quantity Price 1-1,499 $2.50 per unit 1,500 - 4,999 $2.30 per unit 5,000 or more $2.25 per unit a. What is the optimal behaviour? b. Does the firm take advantage of the lowest price available? Explain.