Problem #1-Sumco Pump Company-Modified, from textbook page #192. Sumco's annual demand is expected to increase from 1,000 units to 1,555 units, the ordering cost is reduced to $8 per order and the average carrying cost per unit per year remains the same at $0.50. Under these new conditions: Calculate the new EOQ. Calculate the Annual Ordering Cost, the Annual Holding Cost and the Total Annual Cost. If Sumco has a daily demand of 10 units and assuming that they will be ordering the exact amount а. b. с. calculated for EOQ in topic (a) with a lead time of 5 days, calculate the Reorder Point (ROP) and the Inventory Position. Guidance: review Procomp's example on textbook page #195.
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- • Assume that ABC company is decided to sale every tire at $ 2 per unit. Forecasted demand of tire in next year is 9,600. Annual carrying cost is $16 per tire and ordering cost is $ 75. The distributor operates 288 days a year. i. What is the EOQ? ii. Hw many times per year does the store reorder? iii. What is the length of an order cycle? iv. What is the total annual cost if the EOQ quantity is ordered?A jewelry firm buys semiprecious stones to make bracelets and rings. The supplier quotes a price of $8.50 per stone for quantities of 600 stones ore more, $8.90 per stone for orders of 400 to 599 stones, and $9.40 per stone for lesser quantities. The jewelry firm operates 104 days per year. Usage rate is 22 stones per day, and ordering costs are $42. Do not round intermediate calculations. a. If carrying costs are $2 per year for each stone, find the order quantity that will minimize total annual cost. b. If annual carrying costs are 24 percent of unit cos, what is the optimal order size? c. If lead time is 3 working days, at which point should the company reorder?Problem 20-22 (Algo) Annual demand for a product is 16,120 units; weekly demand is 310 units with a standard deviation of 55 units. The cost of placing an order is $145, and the time from ordering to receipt is four weeks. The annual inventory carrying cost is $0.55 per unit. a. To provide a 90 percent service probability, what must the reorder point be? (Use Excel's NORMSINV() function to find the correct critical value for the given α-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.) Reorder point____________ units ? b. Suppose the production manager is told to reduce the safety stock of this item by 80 units. If this is done, what will the new service probability be? (Use Excel's NORMSDIST() function to find the correct probability for your computed Z-value. Round your answer to the nearest whole number.) Service probability___________%
- Epworth Co. predicts that it will use 360,000 gallons of material during the year. It anticipates that it will cost $72 to place each order. The annual carrying cost is $4 per gallon. a. Determine the most economical order quantity by using the EOQ formula. b. Determine the annual order and carrying costs at the EOQ point.a) ABC Plantation uses an average of 50 bags of fertilizer a day. ABC Plantation operates 260 days per year. Storage and handling costs for the fertilizer are RM40 a year per bag. It costs RM70 to order and receive the shipment of fertilizer. i. ii. Compute the economic order quantity (EOQ) Calculate the total annual cost iii. Compute the optimal number of order per year iv. Calculate the optimal number of days between any two ordersProblem 12-2 (Algo) A local distributor for a national tire company expects to sell approximately 9,780 tires of a certain size and tread design next year. Annual carrying cost is $18 per tire and ordering cost is $85. The distributor operates 283 days a year. a. What is the EOQ? (Round your answer to a whole number.) EOQ b. How many times per year does the store reorder? (Round your answer to two decimal points.) Number of Orders per Year c. What is the length of an order cycle? (Round your answer to two decimal points.) Length of Order Cycle d. What will the total annual carrying and ordering cost be if the EOQ quantity is ordered? (Round your answer to a whole number.) Total Annual Inventory Cost
- EOQ, reorder point, and safety stock Alexis Company uses 916 units of a product per year on a continuous basis. The product has a fixed cost of $60 per order, and its carrying cost is $3 per unit per year. It takes 5 days to receive a shipment after an order is placed, and the firm wishes to hold 10 days' usage in inventory as a safety stock. a. Calculate the EOQ. b. Determine the average level of inventory. (Note: Use a 365-day year to calculate daily usage.) c. Determine the reorder point. d. Indicate which of the following variables change if the firm does not hold the safety stock: (1) order cost, (2) carrying cost, (3) total inventory cost, (4) reorder point, (5) economic order quantity. a. Alexis' EOQ is units. (Round to the nearest whole number.)Problem: 4 ABC Ltd uses EOQ to determine the order quantity for its various components and is planning its orders. The Annual Consumption is 80,000 units. Cost to place one order is RO 1200. Cost per unit is RO 50 and carrying cost is 6% of unit cost. Find A) EOQ B) Number of orders per year C) Ordering cost D) Carrying cost and E) The total cost of inventorySupply Chain Coordination problem Zamatia makes sunglass at a cost of $35 and sells them to UmbraVisage (UV) for $75. UV sells them for $115 and salvages left over inventory for $25 per unit. Demand is Normal with mean 250 and standard deviation 125. a. What should be the optimal ordering quantity for UV? b. What is the total supply chain profit (UV & Zamatia) given the ordering quantity computed in a? c. What should be the optimal ordering quantity to maximize the total supply chain profit (UV and Zamatia)?
- EOQ, reorder point, and safety stock Alexis Company uses 937units of a product per year on a continuous basis. The product has a fixed cost of $44 per order, and its carrying cost is $4 per unit per year. It takes 5 days to receive a shipment after an order is placed, and the firm wishes to hold 10 days' usage in inventory as a safety stock. a. Calculate the EOQ. b. Determine the average level of inventory. (Note: Use a 365-day year to calculate daily usage.) c. Determine the reorder point. d. Indicate which of the following variables change if the firm does not hold the safety stock: (1) order cost, (2) carrying cost, (3) total inventory cost, (4) reorder point, (5) economic order quantity.please Solve question G,H AND I Question A to F IS SOLVED (a) What is the expected jet fuel yearly average demand D? =4160 tons(b) Given D, find the order lot size Q that gives the economic order quantity (EOQ). =60.39 unit(c) Given the EOQ, what is the total inventory holding cost?= $1067695.2(d) Given the EOQ, what is the total inventory ordering cost? =OC=$1067726.4(e) Given the EOQ, what is the total annual inventory cost?TIC=2135421.6 =1.32(f) What is the time between orders in weeks? = 39.39 The airport is convinced that placing an order every season (every P = 13weeks) will be best. It is also aware that the expected demand will varywith a standard deviation of 20 tons, so it needs to take this information into account. (g) What is the protection period required by the proposed 13-week periodic review system?(h) The airport is required by the airlines to maintain a 99.75% service level.What is the required safety stock?(i) Calculate the order size (Q) when using P = 13.(j)…A local artisan uses supplies purchased from an overseas supplier. The owner believes the assumptions of the EOQ model are met reasonably well. Minimization of inventory costs is her objective. Relevant data, from the files of the craft firm, are annual demand (D) = 150 units, ordering cost (S) = $42 per order, and holding cost (H) = $4 per unit per year. a. How many should she order at one time? b. How many times per year will she replenish her inventory of this material? c. What will be the total annual inventory costs associated with this material? d. If she discovered that the carrying cost had been overstated, and was in reality only $1 per unit per year, what is the corrected value of EOQ?