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The Outdoor Company estimated that they will require 14,000 boxes of hiking supplies over the next year. Administrative and other costs associated with placing an order are estimated to be $23 per order. The Hiking Company uses a rate of 12% per year for calculating inventory holding costs. (16 Marks) The Outdoor Company's supplier encourages its customers to order in large quantities by offering a price break on volume. Hence, the price per box depends on the order quantity as follows: Order Size 0-349 350 - 649 650+ Price per Box 32 30 28 a. Determine the optimal order quantity for this item. b. On average, how many orders will The Outdoor Company place per year? c. If the lead-time is two weeks, what is the reorder point? (Assume constant demand through the year.)