Weiss’s paint store keeps an inventory of white latex paint product in the gallon size. The manager reviews the stock level every 4 months. Demand is observed to be normally distributed with a monthly mean of 28 gallons and a standard deviation of 8. Re-supply lead time is 2.5 months. The store manager targets a 98 percent in-stock probability during the lead time. • What is the target inventory position?
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Weiss’s paint store keeps an inventory of white latex paint product in the gallon size. The manager reviews the stock level every 4 months.
Demand is observed to be
• What is the target inventory position?
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- 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.Annual demand is 16000 units, cost per order is $75 and carrying cost per unit as a percentage is 10%. The company works 250 weeks a year; the lead-time on all orders placed is 6 working days. Assuming constant lead-time demand, and a unit cost of $45 what is the economic order quantity? What is the reorder point. If lead-time demand shows variability that follows a normal distribution with a mean μ =420 and a standard deviation σ =20, what will the revised reorder point if two stock-outs (shortages) are allowed? What is the company’s reorder point if the probability of a stock-out on any cycle is restricted to 0.05?1. A local producer of vegetables is deciding how much inventory to have to meet the next week's demand. Vegetable products are perishable with a shelf-life of a week. Based on the historical observations, the company expects the weekly demand to follow a normal distribution with mean 4500 pounds and standard deviation of 400 pounds. The price of the product is $14 per pound in the store, and it costs $6 to produce. If there are any leftovers, the company is required to dispose them safely to avoid any pollution. This process costs $0.5 per pound. Answer the following questions. a) What is the cost of overage per pound? b) What is the cost of underage per pound? c) What is the optimal order quantity?
- H & K Electronic Warehouse sells a 12-pack of AAA batteries, and this is a very popular item. Demand for this is normally distributed, with an average of 50 packs per day and a standard deviation of 16. The average delivery time is 5 days, with a standard deviation of 2 days. Delivery time has been found to be normally distributed. A 96% service level is desired. What is the standard deviation of demand during the lead time? How much safety stock should be carried, and what should be the reorder point← Barbara Flynn is in charge of maintaining hospital supplies at General Hospital. During the past year, the mean lead time demand for bandage BX-5 was 65 (and was normally distributed). Furthermore, the standard deviation for BX-5 was 6. Ms. Flynn would like to maintain a 90% service level. Refer to the standard normal table for z-values. a) What safety stock level do you recommend for BX-5? Safety stock = 8 units (round your response to the nearest whole number). b) What is the appropriate reorder point? Reorder Point = units (round your response to the nearest whole number).4. A beer store uses a (Q, R) inventory system to control its stock levels. For a particularly popular black ale (a type of beer), historical data shows that the distribution of weekly demand is approximately normal, with mean 7 and standard deviation 2. Replenishment lead time for this beer store is about 5 weeks. Each unit of this beer costs the store $60. Although excess demands are back-ordered, the store owner estimates that unfilled demands cost about $100 per unit in bookkeeping and loss-of-goodwill costs. Fixed costs of replenishment are $150 per order, and holding costs are based on a 30% annual rate of interest. Assume each month is equivalent to 4 weeks. (a) What are the optimal lot sizes and reorder points for this beer? (b) What is the optimal safety stock for this beer? (c) What if the unfilled demands now incur a penalty cost of $75 per unit beer per week?
- Weiss’s paint store uses a (Q, R) inventory system to control its stock levels. For a particularly popular white latex paint, historical data show that the distribution of monthly demand is approximately normal, with mean 28 and standard deviation 8. Replenishment lead time for this paint is about 14 weeks. Each can of paint costs the store $6. Although excess demands are back-ordered, the store owner estimates that unfilled demands cost about $10 each in bookkeeping and loss-of-goodwill costs. Fixed costs of replenishment are $15 per order, and holding costs are basedon a 30 percent annual rate of interest.a. What are the optimal lot sizes and reorder points for this brand of paint?b. What is the optimal safety stock for this paint?Q1) Cannon sells 22mm lens for digital cameras. The manager considers using a continuous review policy to manage the inventory of this product and he is planning for the reorder point and the order quantity in 2021 taking the inventory cost into account. The annual demand for 2021 is forecasted as 400+10*6 and expected to be fairly stable during the year. Other relevant data is as follows: The standard deviation of the weekly demand is 10. Targeted cycle service level is 90% (no-stock out probability) Lead time is 4 weeks Each 22mm lens costs $2000 Annual holding cost is 25% of item cost, i.e. H=$ 500. Ordering cost is $1000 per order Using your student number calculate the annual demand. (e.g., for student numberBBAW190102, the last digit is 2 and the annual demand is 400+10*6=420) Using the annual demand forecast, calculate the weekly demand forecast for 2021 (Assume 52 weeks in a year)? What is the economic order quantity, E0Q? What is the reorder point and safety stock? 5-…Please show work so I can understand it. Given this information: •Expected demand during lead time = 800 units • Standard deviation of lead time demand = 40 units Assuming that lead time demand is distributed normally. The risk of stockout is 5 percent during lead time (a) What amount of safety stock is appropriate? (b) Calculate ROP
- 21- Which one of the following represent FIFO method of inventory evaluation? a. Old items remain in inventory b. Old merchandise is sold first c. New merchandise is sold first d. Average number of goods are soldProblem 20-10 (Algo) You are a newsvendor selling San Pedro Times every morning. Before you get to work, you go to the printer and buy the day's paper for $0.30 a copy. You sell a copy of San Pedro Times for $1.10. Daily demand is distributed normally with mean = 265 and standard deviation = 53. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of San Pedro Times should you buy each morning? (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Round your z-value to 2 decimal places and final answer to to 2 decimal places.) Optimal order quantity b. Based on a, what is the probability that you will run out of stock? (Round your answer to the nearest whole number.) Probability1. (a)A computer products store colour graphics monitors, and the daily demand is normally distributed, with a mean of 1.6 monitors and standard deviation of 0.4 monitor. The lead time to receive an order from the manufacturer is 15 days. Determine the reorder point that will achieve a 98% service level. (b)Lumumba Carpet Discount Store sells Super Shag carpet. The average daily customer demand for the carpet stocked by the store is normally distributed, with a mean daily demand of 30 metres and a standard deviation of 5 metres of carpet per day. The lead time for receiving a new order of carpet is 10 days. Advice the the store if they desire a reorder point and safety stock for a service level of 95%, with the probability of a stockout equal to 5%.