Mother E, a business selling specialized helmet, has a carrying cost of P70 per unit per order. In order to satisfy the customers coming from various places, they order every 4 months. The stockout cost is P50 per unit per year. The following are the demand for specialized helmet Demand during lead time Probability 50 .1 60 .2 70 .2 80 .2 90 .1 The reorder point is 70 units. What level of safety stock should be maintained?
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Question: What level of safety stock should be maintained?
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- The demand for a clothing brand is shown in the table below. The cost per order is about $4000. Cost of each unit of clothing = $5. Carrying cost percentage = 25% per item per 5 months. The analysis period = 5 month duration. Month Demand 1 400 2 300 3 200 4 400 5 500 a. Using this data, compute the solutions using the Lot for Lot and Periodic Order Quantity heuristics? Which of these heuristics would perform better and why? b. Assuming that the demand follows a normal distribution with the mean and variance from the data given above, determine the optimal order should be greater or lesser than the single period EOQ model.At Dot Com, a large retailer of popular books, demand isconstant at 20,400 books per year. The cost of placing anorder to replenish stock is $35, and the annual cost of holdingis $6 per book. Stock is received 5 working days after an orderhas been placed. No backordering is allowed. Assume 250working days a year.a. What is Dot Com’s optimal order quantity?b. What is the optimal number of orders per year?c. What is the optimal interval (in working days) betweenorders?The manager of a hardware store decides to use theEOQ with shortages model to determine the orderingpolicy for tape measures. Using economic considerations,the manager determines that she should usean order quantity of Q 5 30 and have a maximumshortageof b 5 3. The lead time for her supplier todeliver an order is L working days, where there are sixworking days in a week. (Essentially, you can ignoreSundays.) The weekly demand is for 20 tape measures.What reorder point should the manager use ifL 5 3; if L 5 5; if L 5 10? (Hint: The manager shouldplan her orders so that the inventory level is 2b whenan order arrives.)
- 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?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.)c. What ordering policy is recommended by the least unit cost heuristic?
- 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.)b. What ordering policy is recommended by the part period balancing heuristic?Helen needs 1159 kgs of chicken per day on average to make enchiladas for her store. The supplier charges a $67 delivery fee per order (which is independent of the order size) and $3.90 per kg. Helen’s annual holding cost is 20%. Assume 52 weeks per year and 7 days per week. If Helen wants to minimize inventory holding and ordering costs, how much chicken should she purchase with each order (in kgs)? Provide your answer as an integer value.Use Econimic Order Quantity formula. The answer is 8,513. Not sure how to get there.The office manager for the Metro Life Insurance Companyorders letterhead stationery from an office products firm inboxes of 500 sheets. The company uses 6500 boxes peryear. Annual carrying costs are $3 per box, and orderingcosts are $28. The following discount price schedule isprovided by the office supply company: Order Quantity (boxes) Price per Box200–999 $161000–2999 143000–5999 136000 12 Determine the optimal order quantity and the total annualinventory cost.
- Parasol Systems sells motherboards for personal computers. For quantities upthrough 25, the firm charges $350 per board; for quantities between 26 and 50,it charges $315 for each board purchased beyond 25; and it charges $285 eachfor the additional quantities over 50. A large communications firm expects torequire these motherboards for the next 10 years at a rate of at least 140 peryear. Order setup costs are $30 and holding costs are based on an 18 percentannual interest rate. What should be the size of the standing order?We are given the following information for a product:Order cost $50Annual demand N(960, 3,072.49)Annual holding cost $6/item/yearShortage cost $80 per unitLead time one monthSales price $40 per unitProduct cost $30 per unita Determine the order quantity and the reorder pointunder the assumption that all demands are backordered. b Determine the order quantity and reorder point un-der the lost sales assumption.Tobacco is shipped from North Carolina to a cigarette manufacturer in Cambodia once a year. The reorder point, without safety stock, is 200 kilos. The carrying cost is $15 per kilo per year, and the cost of a stockout is $70 per kilo per year. Given the following demand probabilities during the lead time, how much safety stock should be carried? Demand During Lead Time (Kilos) Probability 0 0.1 100 0.1 200 0.2 300 0.4 400 0.2 Part 2 The optimal quantity of safety stock which minimizes expected total cost is enter your response here kilos (enter your response as a whole number).