A retailer uses the EOQ model with uncertain demand rate (and positive lead time) to manage the inventory of a product. Which of the following expressions calculates the annual inventory turnover? Note: 1-D is the annual demand, Q is the order quantity, H is the unit annual holding cost, S is the fixed ordering cost and SS is the safety stock. 2-Value of inventory and cost of goods are both measured by the purchase cost of the product. Recall that inventory turnover is calculated based on the annual goods sold, which is equal to the annual demand, and the average inventory value. 2DS/H D Q/2 + SS Previous Page V 06 D D Q D Q/2
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- A company would like to classify its inventory systems using ABC Inventory classification system. The rules for ABC dassification are STRICTLY applied such that 80% cumulative budget is assigned to A class inventory items. The next 15% cumulative budget is assigned to B class inventory items, and Only 5% of the cumulative budget is assigned to class inventory itemsThe inventory items are XYZ1, XYZ2, XYZ3and respectively. The Annual demands (units per year) for these items are 290,457159, and 577 respectively. Also, the corresponding per unit prices are 19 33, 126and respectively measured in OMR. Which items (among XYZ1, XYZ2, XYZ3, and XYZ4) are classified as Adass inventoryHayes 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 as follows: (a) both ordering cost and carrying cost are 10% less that 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.A wholesaler has a steady demand for 50 items of a given product each month.The purchase cost of each item is 6 MU and the holding cost for this item is estimated tobe 20% of the stock value per annum. Every order placed by the wholesaler cost 10 MUin administration charges regardless of the number ordered? Please mention formulas and do it in detail so I can understand.
- The best quantity to order One of the formulas for inventorymanagement says that the average weekly cost of ordering, payingfor, and holding merchandise iswhere q is the quantity you order when things run low (shoes,TVs, brooms, or whatever the item might be); k is the cost ofplacing an order (the same, no matter how often you order); c isthe cost of one item (a constant); m is the number of items soldeach week (a constant); and h is the weekly holding cost per item(a constant that takes into account things such as space, utilities,insurance, and security). Find dA>dq and d2A>dq2.Geox Ltd buys shoes from a supplier in Italy and sells them on to retailers in Australia. Geox Ltd currently uses an EOQ model to determine the number of shoes to send to order. The annual demand for shoes is approximately 45,600. The ordering cost is $55 per order. The annual cost of physically storing shoes is $8.75 per unit. The insurance on the inventory (shoes) cost is $4.25 per unit. The opportunity cost (annual ROI 25% x $30) is $7.50 per unit. The accountant of Geox Ltd, Richard Branson, recently attended a seminar on Just-in-Time (JIT) and is considering how the ideas of JIT differ from traditional techniques like EOQ and how they may help to manage inventory more efficiently. REQUIRED: A) Use the EOQ model to determine the optimal number of shoes per order. (show calculations) B) If it takes two weeks to receive an order, at what point should Geox Ltd reorder shoes? (show calculations) C) Geox Ltd has determined that demand may vary from the average by up to 25%. To handle…jeweler purchases silver for use in its products. The firm uses 190 grams of silver per week and purchases silver for $0.52 per gram from a supplier. Each time the firm orders silver from the supplier, the firm must pay a $11 order processing charge. The firm's annual holding cost percentage is 38%. Do not round intermediate calculations. Assume there are 52 weeks in a year and round your answer to two decimal places. If the jeweler orders 1,950 grams of silver with each order, what is the sum of the annual holding and ordering costs? dollars Please do fast ASAP fast
- Under the last-in, first-out (LIFO) inventory valuation method, a price index for inventory must be established for tax purposes. The quantity weights are based on year-ending inventory levels. Unit Price ($) Product EndingInventory Beginning Ending A 500 0.15 0.19 B 50 1.40 1.80 C 100 4.50 4.20 D 60 12.00 13.60 Use the beginning-of-the-year price per unit as the base-period price and develop a weighted aggregate index for the total inventory value at the end of the year. (Round your answer to the nearest integer.) I = ?? What type of weighted aggregate price index must be developed for the LIFO inventory valuation? -Paasche index -Laspeyres IndexInstructions There are four parts to this problem. Use Excel to perform the following. a. Use the economic order quantity formula (EOQ = SQRT((2SD/H)) to determine the optimal number of units that the company should order based on each assumed level of order based on each assumed level of order quantities provided in the data. b. Complete the table by calculating the number of orders per year, annual order cost, annual holding cost, and annual total cost. Highlight the minimum annual total cost using conditional formatting. Hint: The minimum cost should equal the cost at the EOQ you calculated in part a. c. Create a line chart that graphs annual order cost, annual holding cost, and annual total cost. The x-axis should be the quantity ordered. Include a chart legend, appropriate chart title, axes labels, and properly formatted amounts on the axes. d. Examine the chart and your responses to parts a and b. Indicate any relationships.A firm uses the order-up-to model to manage its inventory. It wants to increase its in-stockprobability while decreasing its holding costs (i.e., reducing its average inventory). Which ofthe following actions will help to achieve this goal? (Consider each action independently.)I. Decrease the lead time.II. Increase the order-up-to level.III. Increase the average quantity on order.a. Only Ib. Only IIc. Only IIId. I and IIe. I and IIIf. II and IIIg. Any of them will help (that is I, II, or III).h. None of them will help.
- Hayes 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.A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)d. Which method resulted in the lowest-cost policy for this problem?A component used in a manufacturing facility is ordered from an outside supplier.Because the component is used in a variety of end products, the demand is high. Estimated demand (in thousands) over the next 10 weeks isWeek 1 2 3 4 5 6 7 8 9 10Demand 22 34 32 12 8 44 54 16 76 30The components cost 65 cents each and the interest rate used to compute the holding cost is 0.5 percent per week. The fixed order cost is estimated to be $200. (Hint:Express h as the holding cost per thousand units.)a. What ordering policy is recommended by the Silver–Meal heuristic?