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Pharr Foods Company
Pharr Foods Company produces a variety of food products including a line of candies. One of its most popular candy items is “Far Stars,” a bag of a dozen individually wrapped star-shaped candies made primarily from a blend of dark and milk chocolates, macadamia nuts, and a blend of heavy cream fillings. The item is relatively expensive, so Pharr Foods only produces it for its eastern market encompassing urban areas such as New York. Atlanta. Philadelphia, and Boston. The item is not sold in grocery or discount stores but mainly in specialty shops and specialty groceries, candy stores, and department stores. Pharr Foods supplies the candy to a single food distributor, which has several warehouses on the East Coast. The candy is shipped in cases with 60 bags of the candy per case. Far Stars sell well despite the fact that they are expensive at $9.85 per bag (wholesale). Pharr uses high-quality, fresh ingredients and does not store large stocks of the candy in inventory for very long periods of time.
Pharr’s distributor believes that demand for the candy follows a seasonal pattern. It has collected demand data (i.e., cases sold) for Far Stars from its warehouses and the stores it supplies for the past three years, as follows.
The distributor must hold the candy inventory in climate-controlled warehouses and be careful in handling it. The annual carrying cost is $116 per case. The item must be shipped a long distance from the manufacturer to the distributor. In order to keep the candy as fresh as possible, trucks must be air-conditioned and shipments must be direct, and are often less-than-truckload. As a result, ordering cost is $4700.
Pharr Foods makes Far Stars from three primary ingredients it orders from different suppliers: dark and milk chocolate, macadamia nuts, and, a special heavy cream tilling. Except for its unique star shape, a Far Star is almost like a chocolate truffle. Each Far Star weighs 1.2 ounces and requires 0.70 ounce of blended chocolates, 0.50 ounce of macadamia nuts, and 0.40 ounce of tilling to produce (including spillage and waste). Pharr Foods orders chocolate, nuts, and tilling from its suppliers by the pound. The annual ordering cost is $5700 for chocolate, and the carrying cost is $0.45 per pound. The ordering cost for macadamia nuts is $6300, and the annual carrying cost is $0.63 per pound. The ordering cost for tilling is $4500, and the annual average carrying cost is $0.55 per pound.
Each of the suppliers offers the candy manufacturer a quantity-discount price
Determine the inventory order quantity for Pharr’s distributor. Compare the optimal order quantity with a seasonally adjusted
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