A retailer determines that the cost of ordering and storing units of a product can be modelled by C(x)= 3x + 2000 / x, 0 < x < 200. Find the order size that will minimise ordering and storage cost
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A retailer determines that the cost of ordering and storing units of a product can be modelled by C(x)= 3x + 2000 / x, 0 < x < 200. Find the order size that will minimise ordering and storage cost.
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- An electronics retailer wants to develop an inventory policy to achieve 99% chance of not getting stockouts for a chip. The daily demand for the chip is estimated to be Normal with mean 200 and standard deviation of 20. They count the chip inventory every 2 weeks to place an order, and it takes 11 days for the ordered chips to be delivered. The retailer operates 7 days a week, 365 days a year. They are going to implement an order-up-to model. A) What base stock level should they choose? B) What is the number of chips they would have on order (on average)? C) When they checked their inventory of chips to place a new order, they found that they ran out of stock completely. In addition, they have 10 chips on way to be delivered, while there are five customers who paid for 20 chips in total and are waiting to receive their chips. How many chips should the retailer order?Service level is: B and D O the probability of not stocking out. calculated as the cost of a shortage divided by (the cost of shortage + the cost of overage) for single-period models. O the probability of stocking out. something that should be minimized in retail.Which one of the following variables is not explicitly considered in the computation of the Economic Order Quantity? a. Per unit per year cost of storage and storage insurance for the inventories purchased b. Annual quantity forecasted by the firm that will satisfy the demand of the customers c. Any deductions from the selling price granted by the suppliers to the buyers due to certain quantities reached d. Ordering or transaction cost that must be constant regardless of quantity ordered
- A food processor purchases corn for use in its products. The firm uses 700 pounds of corn per week and purchases corn for $0.45 per pound from a supplier. The cost to hold one pound of corn in inventory for one year is $0.09. Each time the firm orders corn from the supplier, the firm must pay a $48 order processing charge. Assume there are 52 weeks in a year and round your answer to the nearest integer value. What is the optimal order quantity (in pounds)? poundsAlgro Inc. keeps a wide range of parts and materials on hand for use in its production processes. Management has recently had difficulty managing parts inventory as demand for its finished goods has increased; they frequently run out of some critical parts while having an endless supply of others. They would like to classify their parts inventory according to the ABC approach to better control inventory. The following is a list of parts, along with their annual usage and unit value: Item Annual Unit Item Annual Unit Number Usage Cost Number Usage Cost 1 36 $350 2 510 30 3 50 23 4 300 45 5 18 1900 6 500 8 7 710 4 8 80 26 9 344 28 10 67 440 11 510 2 12 682 35 13 1216 95 50 14 10 3 15 820 1 KARAN2222222222 16 60 $610 17 120 20 18 270 15 19 45 50 20 19 3200 21 910 3 12 4750 23 30 2710 24 24 1800 25 870 105 26 244 30 27 750 15 28 45 110 29 46 160 30 165 25 a. Classify the inventory items according to the ABC approach using the dollar value of annual demand. b. Clearly explain why you…Red Corporation uses the reorder point model to plan its purchases. It sells its sole product at the following daily amounts: Minimum=30,000; Average=40,000; Maximum=60,000. Its supplier takes 3 days on average and 4 days maximum to deliver the order. The-reorder point would be: A. 240,000B. 160,000C. 120,000D. 90,000
- That One Book sells its books through The Witch and the Wardrobe bookstores. It costs That One Book $0.80 to print each book; it sells the book to The Witch and the Wardrobe for $2.50. The Witch and the Wardrobe then sells the books at retail for $6.00. Whatever doesn’t sell gets thrown away. Demand for the book each issue is normal with a mean of 5219 and a standard deviation of 1610. To give The Witch and the Wardrobe incentive to order more books, it proposes a revenue-sharing contract. Instead of selling the book to The Witch and the Wardrobe for $2.50, That One Book will sell its books to The Witch and the Wardrobe for only $1.00. However, for each book that The Witch and the Wardrobe sells at retail, The Witch and the Wardrobe must give $2.00 back to That One Book. With this revenue sharing agreement in place, what is the optimal order amount that will maximize The Witch and the Wardrobe expected profit? Please do fast ASAPModels of inventory systems frequently consider the relationships among a beginning inventory,a production quantity, a demand or sales, and an ending inventory. For a givenproduction period j, letsj-1 = ending inventory from the previous period (beginning inventory for period j)xj = production quantity in period jdj = demand in period jsj = ending inventory for period ja. Write the mathematical relationship or model that shows ending inventory as a functionof beginning inventory, production, and demand.b. What constraint should be added if production capacity for period j is given by Cj?c. What constraint should be added if inventory requirements for period j mandate anending inventory of at least Ij?Red Corporation uses the reorder point modelto plan its purchases. It sellsitssole productat the following daily amounts:Minimum=30,000; Average=40,000;Maximum=60,000. Its supplier takes 3 dayson average and 4 days maximum to deliverthe order. The-reorder point would be A. 240,000B. 160,000C. 120,000D. 90,000
- a supermarket expects to sell 1000 boxes of sugar in a year. each box costs $2 and there is a fixed delivery charge of $20 per order. if it costs $1 to store a box for a year, what is the order size and how many times a year should orders be placed to minimize inventory costs?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/yearDemand is normally distributedStandard deviation of weekly demand = 3 unitsOrdering cost = $40/orderAnnual holding cost (H) = $5/unitsDesired cycle-service level = 90 percentLead time (L) = 4 weeksa. If the company uses a periodic review system, what should P and T be? Round P to the nearest week.b. If the company uses a continuous review system, what should R be?The principal goal of inventory management systems is to balance the costs of ordering, shipping, and receiving goods with the cost of carrying those goods, while simultaneously meeting the firm's policy with respect to avoiding running short of stock and disrupting production schedules. True False