What inventory model should be used to determine the order quantity to maximize the total expected proÖt? Why? 2. What is the service level under the optimal order quantity? 3. How much fresh Boston blueÖsh should Skinnerís Fish Market order so as to maximize the total expected proÖt?
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Skinnerís Fish Market buys fresh Boston bluefish daily for $5.60 per pound and sells it for $9.80 per pound. At the end of each business day, any remaining bluefish is sold to a producer of cat food for $3.80 per pound. Daily demand can be approximated by a
1. What inventory model should be used to determine the order quantity to maximize the total expected proÖt? Why?
2. What is the service level under the optimal order quantity?
3. How much fresh Boston blueÖsh should Skinnerís Fish Market order so as to maximize the total expected proÖt?
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- Bakery A sells bread for $2 per loaf that costs $0.50 per loaf to make. Bakery A gives an 80% discount for its bread at the end of the day. Demand for the bread is normally distributed with a mean of 300 and a standard deviation of 30. What order quantity maximizes expected profit for Bakery A? (use the normal distribution table posted on Canvas and round up to the nearest integer)3. Skinner’s Fish Market buys fresh Boston bluefish daily for $4.20 per pound and sells it for $6 per pound. At the end of each business day, any remaining bluefish is sold to a producer of cat food for $3 per pound. Daily demand can be approximated by a normal distribution with a mean of 64 pounds and a standard deviation of 11 pounds. What is the optimal order quantity (stocking level)? Round your answer to 2 decimal places. Answer:_______The materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. She knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. She also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four days. If the order size was 1,000 kilograms of resin, what would be the average inventory level?
- Green Grass Industries Limited (GGIL) has used a fixed-time period inventory system that involved taking a complete inventory count of all items each month. However, increasing labor costs, are forcing GGIL, to examine alternative ways to reduce the amount of labor involved in inventory stockrooms, yet without increasing other costs, such a shortage costs. Table 10 is a random sample of 20 GGIL's items. Table 10. Annual Usage by Value of a sample of GGIL's Inventory Item Number Annual Usage ($) Item Number Annual Usage ($) 1 10,600 11 2,750 2 14,000 12 1,400 3 4,000 13 3,200 4 16,000 14 2,500 5 8,100 15 110,000 1,800 16 14,800 7 84,000 17 9,500 8. 890 18 1,700 9 940 19 3,700 10 94,000 20 12,500 a) What would you recommend GGIL to do to cut back its labor cost? (Illustrate using an ABC plan). b) Item 18 is critical to continued operations at GGIL. i. How would you recommend it be classified? ii. Give the reason(s) for your answer.Catlea Merchandising is engaged in selling school shoesfor both boys and girls in their teenage years. Catlea needs 32,000 pairs of shoes in a year in order to satisfy the market demand. It costs ₱ 48 to place an order while ₱ 8 is needed to hold each quantity of shoe in Catlea's inventory. Upon checking on Catlea's supplier, it takes 8 days in between placing an order and eventually receiving it. a. Determine the Economic Order Quantityb. Determine the number of order per monthc. Determine the reorder pointAmong the following multi-period inventory models, which one has the highest probability of stockout? A. Fixed Order Quantity with Safety Stock B. Fixed Time Period Model C. Fixed Order Quantity D. Both Fixed Order Quantity & Fixed Order Quantity with Safety Stock
- A drugstore uses fixed-order cycles for many of the items it stocks. The manager wants a service level of .99. The order interval is 12 days, and lead time is 4 days. Average demand for one item is 63 units per day, and the standard deviation of demand is 6 units per day. Given the on-hand inventory at the reorder time for each order cycle shown in the following table. Use Table. Cycle On Hand 1 38 2 10 3 93 Determine the order quantities for cycles 1, 2, and 3: (Round your answers to the nearest whole number) Cycle Units 1 1019 Numeric ResponseEdit Unavailable. 1019 incorrect. 2 1047 Numeric ResponseEdit Unavailable. 1047 incorrect. 3 964 Numeric ResponseEdit Unavailable. 964 incorrect.A company operates for 50 weeks a year and uses a fixed quantity inventory system for one of its most important items. Below are the characteristics for the item: Weekly demand follows normal distribution: mean of 400 units and standard deviation of 100 units Order Cost = $40 per order Annual Holding cost = $2/unit/year Desired service level = 95% (z = 1.645) Lead Time = 4 weeks Economic Order Quantity (EOO) = 894 units Now suppose that the management is considering switching to a fixed time inventory system where the time between orders is 2 weeks. Everything else being the same as the information provided for the original problem, which system (Q or P system) is likely to have more safety stock? Please explain why.Palin’s Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level). Annual demand 2,750 mufflers Ordering cost $ 35 per order Standard deviation of daily demand 6 mufflers per working day Service probability 76 % Item cost $ 28.00 per muffler Lead time 4 working days Annual holding cost 22 % of item value Working days 275 per year Review period 21 working days a. What is the optimal target level (order-up-to level)? If the service probability requirement is 93 percent, the optimal target level will: Increase Decrease Stay the same
- Jim's Job Shop buys two parts (Tegdiws and Widgets) for use in its production system from two different suppliers. The parts are needed throughout the entire 52-week year. Tegdiws are used at a relatively constant rate and are ordered whenever the remaining quantity drops to the reorder level. Widgets are ordered from a supplier who stops by every three weeks. Data for both products are as follows: a. What is the inventory control system for Tegdiws? Reorder quantity = 1,225 Reorder point = 824.24 b. Find the total inventory costs if using inventory policy. This is a case considering safety stock (Do not use Excel, show your work) Holding cost per unit per year is given as a percentage of item cost ITEM TEGDIW WIDGET Annual Demand 10,000 5,000 Holding cost (% of item cost) 20% 20% Set up or order cost $150.00 $25.00 Lead Time 4 weeks 1 week Safety stock 55 units 5 units Item cost $10.00 $2.0013.13 The TransCanada Lumber Company and Mill processes 10,000 logs annually, operating 250 days per year. Immediately upon receiving an order, the logging company's supplier begins delivery to the lumber mill at the rate of 60 logs per day. The lumber mill has determined that the ordering cost is $1600 per order, and the cost of carrying logs in inventory before they are processed is $15 per log on an annual basis. Determine the following: a. The optimal order size b. The total inventory cost associated with the optimal order quantity c. The number of operating days between orders d. The number of operating days required to receive an orderUnited Airlines has an agreement to buy jet fuel from Exxon. The goal is to minimize total cost (i.e., ordering cost + holding cost). The annual demand for fuel is 201,000 barrels. Exxon charges United $3740 to process each order. United incurs a holding cost of $20 per barrel. When purchasing using the EOQ (from last question), what is the order cycle time (days between orders) for United? Note: round your answer to the nearest 1 decimal place. For example, answer like 12.3 Answer: Check