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- Reorder Point Ordering: Average daily demand ( d) is 5 units with a std. dev. (od) of 1 unit. Average lead time ( LT) is 24 days with a std. dev. (OLT) of 1 day. The inventory manager wants to operate within 3 std. deviations (z = 3). Find the reorder point (ROP) and safety stock (S). ROP=141, SS=120 ROP=141, SS=21 ROP=120, SS=21 ROP=21, SS=141Reorder Point Ordering: Average demand per day () is 25 units, with a std. dev. of (od) 15 units. Lead time (LT) is 49 days. Find demand during lead time (DDL), safety stock (SS) and reorder point (ROP ) for 4-sigma (z = 4). DDL= 500 units, SS = 1225 units, ROP = 1645 units DDL= 1,645 units, SS=420 units, ROP = 1225 units DDL= 1,225 units, SS = 420 units, ROP = 1645 units DDL= 0 units, SS = 1225 units, ROP = 420 units DDL= 420 units, SS = 1645 units, ROP = 420 unitsThomas Kratzer is the purchasing manager for theheadquarters of a large insurance company chain with a centralinventory operation. Thomas’s fastest-moving inventory item hasa demand of 6,000 units per year. The cost of each unit is $100, and the inventory carrying cost is $10 per unit per year. The aver-age ordering cost is $30 per order. It takes about 5 days for an order to arrive, and the demand for 1 week is 120 units. (This is acorporate operation, and there are 250 working days per year.)a) What is the EOQ?b) What is the average inventory if the EOQ is used?c) What is the optimal number of orders per year?d) What is the optimal number of days in between any two orders?e) What is the annual cost of ordering and holding inventory?f ) What is the total annual inventory cost, including the cost ofthe 6,000 units?
- Ezrah is attempting to perform an inventory analysis on one of her most popular beauty products, the Heavenly perfume Annual demand for this product is 10,000 units with carrying costs of P50 per unit per year . ordering costs for her company typically run P100 per order Lead time averages 10 days (Assume 250 working days) What is the economic order quantity?Problem 20-30 (Algo) It is your responsibility, as the new head of the automotive section of Nichols Department Store, to ensure that reorder quantities for the various items have been correctly established. You decide to test one Item and choose Michelin tires, XW size 185 x 14 BSW. A perpetual inventory system has been used, so you examine this, as well as other records, and come up with the following data: Cost per tire Holding cost Demand Ordering cost Standard deviation of daily demand Delivery lead time Order quantity $ tires 50 each percent of tire cost per year Because customers generally do not wait for tires but go elsewhere, you decide on a service probability of 90 percent. Assume the demand occurs 365 days per year. a. Determine the order quantity. (Round your answer to the nearest whole number.) 15 1,100 per year $ 22 per order 4 tires 5 daysAnnual demand (D) for an item is 1,000 units. Ordering Cost (S) is $100 per order. Holding cost (H) is $5 per unit per year. Find economic order quantity (Q*). 400 units 141.4 units 200 units 40,000 units 100 units
- Problem 20-30 (Algo) It is your responsibility, as the new head of the automotive section of Nichols Department Store, to ensure that reorder quantities for the various items have been correctly established. You decide to test one item and choose Michelin tires, XW size 185 x 14 BSW. A perpetual inventory system has been used, so you examine this, as well as other records, and come up with the following data: Cost per tire Holding cost Demand 50 each 25 percent of tire cost per year 1,100 рer year Ordering cost Standard deviation of daily demand Delivery lead time 32 per order 7 tires 8 days Because customers generally do not wait for tires but go elsewhere, you decide on a service probability of 90 percent. Assume the demand occurs 365 days per year. a. Determine the order quantity. (Round your answer to the nearest whole number.) Order quantity 75 tires b. Determine the reorder point. (Use Excel's NORMSINV() function to find the correct critical value for the given a-level. Do not…For fixed order quantity inventory system, which of the following costs is increased when order size (Q) is increased? a) Setup cost b) Ordering cost c) Start-up quality cost d) Insurance cost e) Receiving inspection costDemand (D) 85 tablets/week Working weeks per year 52 weeks Unit holding cost per year (H) $6 Order cost (S) $44/order Standard deviation of weekly demand (sd) 15 tablets Lead time (L) 2 weeks Desired cycle service level 95% If the pharmacist uses the continuous review (Q) system to control the inventory of the drug, what would be the order quantity and reorder point?
- Please do not give solution in image format thanku Regional Supermarket is open 360 days per year. Daily use of cash register tape averages 10 rolls. Usage appears normally distributed with a standard deviation of 2 rolls per day. The cost of ordering tape is $1 per order, and carrying costs are 40 cents per roll a year. Lead-time is three days. a) Ignoring the demand uncertainty (i.e., looking only at average values), find the economic order quantity (EOQ) and the reorder point (ROP). b) Consider now the uncertainty. The order quantity remains the same. If the target is to have a 99% annual service level, what should be the ROPWhat are the primary trade-offs captured in the Economic Order Quantity (EOQ) Model? Inventory Cost Variable Cost of Units Revenue Fixed Cost When Placing OrdersGiven the following information, compute the economic order quantity, annual holding cost, annual order cost, and annual total inventory cost. Annual requirements (R) = 50,000 units Order cost (S) = $150 per order Holding rate (k) = 15% Unit cost (C) = $100 per unit