1) Store A orders on a weekly basis. Its weekly demand is 50 units with a standard deviation of five units. The holding cost is $10 per unit per week and a 0.99 in-stock probability is desired. What is Store A's average holding cost incurred each week for on-order inventory if load time is five wooks2
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- The chapter presented various approaches for the control of inventory investment. Discuss three additional approaches not included that might involve supply chain managers.I need a detailed explanation on how to solve this problem: A paint shop implements an inventory policy on its stock of white paint, which costs the store $6 per can. Monthly demand for cans of white paint is normal with mean 28 and standard deviation 8. The replenishment lead time is 14 weeks. Excess demand is backordered, but costs $10 per back ordered can in labor and loss of goodwill. There is a fixed cost of $15 per order, and the holding cost is based on 30% interest rate per annum. In your computations, assume 4 weeks per month. - Write down the model name and parameters. - What are the optimal lot size and reorder points for white paint (include the formulas)? - What is the optimal safety stock (include the formula)? *** Suppose the paint shop from the above problem adopts a service level policy. - What are the optimal lot size and reorder points for white paint, such that 90% of the cycles are filled without backordering (include all formulas)? - What is the fill rate…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.
- What is the relationship between the average inventory and the in-stock probability?a. The more the inventory, the lower the in-stock probability.b. There isn’t a definitive relationship—more inventory could mean a lower or a higherin-stock probability.c. The more the inventory, the higher the in-stock probability.Golden Crust Bakery buys flour in 25-pound bags. The bakery uses an average of 1,215 bags ayear. Preparing an order and receiving a shipment of flour involves a cost of $10 per order.Annual holding costs are $75 per bag. Once an order for flour is placed, it takes six (6) days toreceive the order from the flour factory. The bakery operates 350 days per year.Calculate the following:(i) Economic Order Quantity(ii) Expected number of orders (Order Frequency)(iii) Average inventory(iv) The annual holding cost(v) The annual ordering cost(vi) The total annual cost of inventory management(vii) Reorder point(viii) If holding costs were to increase by $9 per year, how much would thataffect the minimum total annual cost?A golf specialty wholesaler operates 50 weeks per year. Management is trying to determine an inventory policy for its 1-irons, which have the following characteristics: > Demand (D) = 2,000 units/year > Demand is normally distributed > Standard deviation of weekly demand = 2 units > Ordering cost = $30/order > Annual holding cost (H) = $5.00/unit > Desired cycle-service level = 85% > Lead time (L) = 4 weeks Refer to the standard normal table for z-values. a. If the company uses a periodic review system, P should be 3.87 weeks. (Enter your response rounded to the nearest whole number.) T should be units. (Enter your response rounded to the nearest whole number.)
- Green Grass Industries Limited (GGIL) has used a fixed-time period inventory system that involved taking a complete inventory count of all items each month. However, increasing labor costs, are forcing GGIL, to examine alternative ways to reduce the amount of labor involved in inventory stockrooms, yet without increasing other costs, such a shortage costs. Table 10 is a random sample of 20 GGIL's items. Table 10. Annual Usage by Value of a sample of GGIL's Inventory Item Number Annual Usage ($) 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.the economic order quantity (see Chapter 12 for EOQformulas) for its halogen lamps. It currently buys all halogenlamps from Specialty Lighting Manufacturers in Atlanta. Annualdemand is 2,000 lamps, ordering cost per order is $30, and annualcarrying cost per lamp is $12.a) What is the EOQ?b) What are the total annual costs of holding and ordering(managing) this inventory?c) How many orders should D iscount-Mart place with SpecialtyLighting per year?At Dot Com, a large retailer of popular books, demand is constant at 20,400 books per year. The cost of placing an order to replenish stock is $75, and the annual cost of holding is $6.00 per book. Stock is received 6 working days after an order has been placed. No backorder is allowed. Assume 250 working days a year. **(Enter your response rounded to the nearest whole number.)** Dot Com's optimal order quantity is ______ books. What is the optimal number of orders per year? What is the optimal enterable quotation in working days quotation between orders? What is the demand during the lead time? What is the reorder Point? What is the inventory position immediately after an order has been placed?
- Sarah's Muffler Shop has one standard muffler that fits a large variety of cars. Sarah wishes to establish a reorder point system to manage inventory of this standard muffler. Annual demand Standard deviation of daily demand Item cost Annual holding cost 5,700 mufflers 5 mufflers per working day 30 per muffler 30% of the item value Use the above information to determine the best order size and the reorder point. Order Size = 252, R = 47 Order Size = 243, R = 40 Order Size = 300, R = 46 O Order Size = 302, R = 23 Ordering cost Service probability Lead time Working days $ 50 per order 90 % 2 working days 300 per yearThompson Paint Company uses 60,000 gallons of pigment per year. The cost of ordering pigment is $200 per order, and the cost of carrying the pigment in inventory is $1 per gallon per year. The firm uses pigment at a constant rate every day throughout the year. a. Calculate the EOQ. b. If it takes 20 days to receive an order once it has been placed, determine the reorder point in terms of gallons of pigment. (Note: Use a 365-day year.)A building materials stockist obtains its cement from a single supplier. Demandfor cement is reasonably constant throughout the year. Last year the company sold 2 000tonnes of cement. It estimates the costs of placing an order at around 25 MU each timean order is placed and charges inventory holding at 20% of purchase cost. The companypurchases cement at 60 MU per tonne.a) How much cement should the company order at a time?b) Instead of ordering EOQ, why not a order convenient 100 tonnes? Please mention formulas and do it in detail so I can understand.