Chao Han is the head of the procurement and inventory management unit at a successful tea producer in China. On average, their annual demand for a particular Pu'er tea (Sheng) is 10,000 kg. One of the origins of this tea is Hekai Mountain. Purchasing price of the raw tea is $400 per kilo. Annual holding cost is 30% of purchasing value, and ordering cost per kilo is $30. In case of stockout, customers would wait. However, on average, the cost of backorder per kilo is $25. What is average backorder that Chao faces? O 53.23 kg O 26.61 kg O 70.71 kg O 35.35 kg
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- Rapallo Sneakers, Inc. sells a pair of LG sneakers for $42. Due to the recent fitness craze, these shoes are in high demand: 52 pairs of shoes are sold per week. The ordering cost is $42 per order, and the annual holding cost is 25 percent of the selling price. If the store operates 48 weeks a year, what can you say about the size of the current order quantity of 225 pairs?A pharmacist wants to establish an optimal inventory policy for a new antibiotic that requires refrigeration in storage. The pharmacist expects to sell 6000 packages of this antibiotic at a steady rate during the next year. She plans to place several orders of the same size spaced equally throughout the year. The ordering cost for each delivery is $15, and carrying costs, based on the average number of packages in inventory, amount to $8 per year for one package. Use this information to answer the following questions. a) Let x be the order quantity and r the number of orders placed during the year. Find the inventory cost (ordering cost plus carrying cost) in terms of x and r. b) Find the constraint function. c) Determine the economic order quantity that minimizes the inventory cost and then find the minimum inventory cost. X=__________ C=$___________Your objective is to help company by determining EOQ* (Economic Order Quantity) that minimizes the totalinventory cost for a company that sells ceiling fans. Your worksheet provides information about the currentorder quantity, demand quantity and other costs.Questions: Answer A and Ba. With the current order quantity, what is the total cost of inventory?b. Implement the problem in Excel and find the order quantity (EOQ) (round to nearest integer) that givesminimum inventory cost. Note: this is a Non-linear programming, hence select “GRG Nonlinear” method inSolver- How much money would company save by switching to optimum quantity from current orderquantity?
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- Arthur Meiners is the production manager for Wheel-Rite, a small manufacturer of metal parts. Wheel-Rite sells 10,378 gear wheels each year. Wheel-Rite setup cost is $45 and maintenance cost is $0.60 per sprocket per year. Wheel-Rite can produce 493 gear wheels per day. The daily demand for the gear wheels is 51 units. Show your work. 1. What inventory management model should we use to solve this problem? Model for discount purchases Model Economic Quantity to Order Model Economic Quantity to Produce Model to handle dependent demand 2. What is the optimal amount of production? Response 3. What is the maximum inventory level of gear wheels that will be in the Wheel-Rite warehouse? Response 4. What is Wheel-Rite's annual setup cost? Response 5. What is the annual cost of maintaining Wheel-Rite? ResponseHayes Electronics assumed with certainty that the ordering cost is $450 per order and the inventory carrying cost is $170 per unit per year. However, the inventory model parameters are frequently only estimates that are subject to some degree of uncertainty. Consider four cases of variation in the model parameters: (a) Both ordering cost and carrying cost are 10% less than originally estimated, (b) both ordering cost and carrying cost are 10% higher than originally estimated, (c) ordering cost is 10% higher and carrying cost is 10% lower than originally estimated, and (d) ordering cost is 10% lower and carrying cost is 10% higher than originally estimated. Determine the optimal order quantity and total inventory cost for each of the four cases. Prepare a table with values from all four cases and compare the sensitivity of the model solution to changes in parameter values.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…
- Jim recently acquired a designer shoe store in downtown silver spring. The former owner always ordered 100 pairs of shoes. Jim wants to reevaluate this policy. Based on his analysis, the cost to place each order is $40 and the holding cost is $12 per shampoo bottle per year. The annual demand for this product is 2500 pairs. Should Jim change the current order policy and, if so, how much can she save? Answer in two decimal places. (Hint: Calculate annual total cost using the old and the new policy and compare)Rafiki Bar uses 10,000 cases of millet beer monthly. One case costs Shs.5,000. Holding cost is 30% of the cost of a case p.a while ordering cost is Shs.100,000 per order. The firm works 360 days in a year while lead time is 6 days. Required: ii. Determine the days between orders and the reorder point iii. Determine the total cost of the inventory policy iv. Suppose actual holding cost turns out to be 15% instead of 30% and the inventory policy above is implemented for a year, determine the cost of prediction error if every other parameter estimate turns out as predicted.The annual demand for sugar at a local soft drink company is normally distributed with a mean of 800 tons and a standard deviation of 25 tons. The sugar sells for OMR 500 each ton, and the annual inventory holding cost rate is 10%. Ordering costs are OMR5 per order. The delivery time for sugar is 5 working days. Assume that there are 250 working days in a year. 1. Determine the optimal order quantity. 2. What size of safety stock should the company keep at a service-level of 90%? 3. Suppose they keep 8 extra tons in inventory as a safety stock. What is the service-level obtained? 4. Evaluate the fill rate Beta for a safety stock of 5 tons. 5. What is the expected number of units short per year? 6. Compare the level of safety stock for each policy =Beta=0.95.