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Part I: Supply Chain Performance Consider a firm with an annual net income of $20 million, revenue of $60 million and cost of goods sold of $25 million. If the balance sheet amounts show $2 million of inventory and $500,000 of property, plant \& equipment. (20 pts) a) What is the inventory turnover? (10 pts) b) How many weeks of supply does the firm hold? (10 pts) Part III: EOQ Model Thomas is the purchasing manager for the headquarters of a large insurance company chain with central inventory operations. Thomas's inventory item has a demand of 6000 units per year. The cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. The average ordering cost is $30 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (We assume 250 working days per year.) (30 pts) a) What is EOQ? (5 pts) b) What is the average inventory if the EOQ is used? ( 5 pts) c) What is the optimal number of orders per year? (5pts) d) What is the optimal number of days in between any two orders? ( 5pts ) e) What is the annual cost of ordering and holding inventory? (5 pts) f) What is the total annual inventory cost, including the cost of the 6000 units? (5pts) Part IV: Production Order Quantity Model Radovilsky Manufacturing Company makes flashing lights for toys. The company operates its production 300 days a year. It has orders for about 12,000 units per year and has the capability of producing 100 per day. Setting up the light production costs $50. The cost of each light is $1. The holding cost is $0.1 per light per year. (30pts) a) What is the optimal size of production run? (10 pts) b) What is the average holding cost per year? (10 pts) c) What is the average setup cost per year? ( 5 pts) d) What is the total cost per year, including the cost of the lights? (5 pts) Part V: Single Period Model Cynthia Knott's oyster bar buys fresh Louisiana oysters for $5 per pound and sells them for $9 per pound. Any oysters not sold that day are sold to her cousin, who has a nearby grocery store, for $2 per pound. Cynthia believes that demand follows the normal distribution with a mean of 100 pounds and a standard deviation of 15 pound. How many pounds should she order each day? (20 pts)