A company has been approached by their supplier who would be willing to offer a discount of 5% on order over 500 units. Information regarding current inventory costs is as follows: Holding cost per unit per annum = 10% of purchase price Ordering costs = $2 per order Annual demand = 15,000 units Purchase price $15 per unit Current EOQ quantity 200 units Identify which option is better for the company. = =
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- Maroons Medical Supplies, Inc. must order masks from its supplier in lots of 1 dozen boxes. Given the information provided below, complete the following table: Annual demand 26,000 dozen Cost per order placed P30 Carrying cost 20% Price per dozen P7.80 Order Size (Dozen) 250 500 1,000 2,000 13,000 26,000 Number of orders Average inventory Carrying cost Order cost Total cost 1. What is the EOQ? Thank you so much!Maroons Medical Supplies, Inc. must order masks from its supplier in lots of 1 dozen boxes. Given the information provided below, complete the following table: Annual demand 26,000 dozen Cost per order placed P30 Carrying cost 20% Price per dozen P7.80 Order Size (Dozen) 250 500 1,000 2,000 13,000 26,000 Number of orders Average inventory Carrying cost Order cost Total cost 1. What is the EOQ? Please include/fill the table and solve for EOQ. Thank you so much!The Strawberry Bread Company buys and then sells (as bread) 2.6 million bushels of wheat annually. The wheat must be purchased in multiples of 2,000 bushels. Ordering costs, which include grain elevator removal charges of P3,500, are P5,000 per order. Annual carrying costs are 2 percent of the purchase price of P5 per bushel. The company maintains a safety stock of 200,000 bushels. The delivery time is 6 weeks. 1. What is the EOQ? 2. At what inventory level should an order be placed to prevent having to draw on the safety stock? 3. What are the total inventory costs, including the costs of carrying the safety stock? 4. The wheat processor agrees to pay the elevator removal charges if Strawberry Bread will purchase wheat in quantities of 650,000 bushels. Would it be to Strawberry Bread’s advantage to order under this alternative?
- Grey Wolf Lodge is a popular 500-room hotel in the North Woods. Managers need to keep close tabs on all room service items, including a special pine-scented bar soap. The daily demand for the soap is 275 bars, with a standard deviation of 30 bars. Ordering cost is $10 and the inventory holding cost is $0.30/bar/year. The lead time from the supplier is 5 days, with a standard deviation of 1 day. The lodge is open 365 days a year. a. What is the economic order quantity for the bar of soap? b. What should the reorder point be for the bar of soap if management wants to have a 99 percent cycle-service level? c. What is the total annual cost for the bar of soap, assuming a Q system will be used?Grey Wolf Lodge is a popular 500-room hotel in the North Woods. Managers need to keep close tabson all room service items, including a special pine-scented bar soap. The daily demand for the soap is275 bars, with a standard deviation of 30 bars. Ordering cost is $10 and the inventory holding cost is$0.30/bar/year. The lead time from the supplier is 5 days, with a standard deviation of 1 day. The lodgeis open 365 days a year.a. What is the economic order quantity for the bar of soap?b. What should the reorder point be for the bar of soap if management wants to have a 99 percentcycle-service level?c. What is the total annual cost for the bar of soap, assuming a Q system will be used?A printing company uses 2,000 reams of a certain type of paper in a year. Thecost of holding one ream of paper in inventory per year is US $0.60. Theordering cost per order is US$30. The vendor that supplies the paper to theprinting company has just announced a quantity discount schedule given in thefollowing table. What is the optimum number of reams to buy at one time?Quantity Ordered (in Reams) Price per Ream(in US dollars)0 - 499 $ 8.00500 to 999 $ 7.20 1000 to 1499 $ 6.201500 + $ 5.00
- A jewelry firm buys semiprecious stones to make bracelets and rings. The supplier quotes a price of $8 per stone for quantities of 600 stones or more, $9 per stone for orders of 400 to 599 stones, and $10 per stone for lesser quantities. The jewelry firm operates 200 days per year. Usage rate is 25 stones per day, and ordering costs are $48. a. If carrying costs are $2 per year for each stone, find the order quantity that will minimize total annual cost. (Round your intermediate calculations and final answer to the nearest whole number.)b. If annual carrying costs are 30 percent of unit cost, what is the optimal order size? (Round your intermediate calculations and final answer to the nearest whole number.)c. If lead time is six working days, at what point should the company reorder?A jewelry firm buys semiprecious stones to make bracelets and rings. The supplier quotes a price of $8.80 per stone for quantities of 600 stones or more, $9.20 per stone for orders of 400 to 599 stones, and $9.70 per stone for lesser quantities. The jewelry firm operates 230 days per year. Usage rate is 16 stones per day, and ordering costs are $45.a. If carrying costs are $2 per year for each stone, find the order quantity that will minimize total annual cost. (Do not round intermediate calculations, except for order quantities which should be rounded to the nearest whole number. Round your final answer to the nearest whole number.) b. If annual carrying costs are 20 percent of unit cost, what is the optimal order size? (Do not round intermediate calculations, except for order quantities which should be rounded to the nearest whole number. Round your final answer to the nearest whole number.) c. If lead time is 3 working days, at what point should the company reorder? (Do…A jewelry firm buys semiprecious stones to make bracelets and rings. The supplier quotes a price of $8.30 per stone for quantities of 600 stones or more, $9.40 per stone for orders of 400 to 599 stones, and $10 per stone for lesser quantities. The jewelry firm operates 175 days per year. Usage rate is 25 stones per day, and ordering costs are $48. a. If carrying costs are $2 per year for each stone, find the order quantity that will minimize total annual cost. (Round your intermediate calculations and final answer to the nearest whole number.) Order quantity _____________ stones b. If annual carrying costs are 20 percent of unit cost, what is the optimal order size? (Round your intermediate calculations and final answer to the nearest whole number.) Optimal order size ________ stones
- A jewelry firm buys semiprecious stones to make bracelets and rings. The supplier quotes a price of $8.20 per stone for quantities of 600 stones or more, $8.70 per stone for orders of 400 to 599 stones, and $10 per stone for lesser quantities. The jewelry firm operates 214 days per year. Usage rate is 25 stones per day, and ordering costs are $48. a. If carrying costs are $2 per year for each stone, find the order quantity that will minimize total annual cost. (Round your intermediate calculations and final answer to the nearest whole number.) Order quantity stones b. If annual carrying costs are 27 percent of unit cost, what is the optimal order size? (Round your intermediate calculations and final answer to the nearest whole number.) Optimal order size stones c. If lead time is 5 working days, at what point should the company reorder? Reorder quantity stonesA jewelry firm buys semiprecious stones to make bracelets and rings. The supplier quotes a price of $8.70 per stone for quantities of 600 stones or more, $9.20 per stone for orders of 400 to 599 stones, and $10.00 per stone for lesser quantities. The jewelry firm operates 109 days per year. Usage rate is 25 stones per day, and ordering costs are $48. a. If carrying costs are $2 per year for each stone, find the order quantity that will minimize total annual cost. (Do not round intermediate calculations. Round your final answer to the nearest whole number.) b. If annual carrying costs are 29 percent of unit cost, what is the optimal order size? (Do not round intermediate calculations. Round your final answer to the nearest whole number.) c. If lead time is 3 working days, at what point should the company reorder? (Do not round intermediate calculations. Round your final answer to the nearest whole number.)Petromax Enterprises uses a continuous review inventorycontrol system for one of its SKUs. The following informationis available on the item. The firm operates 50 weeks in a year.Demand = 50,000 units>yearOrdering cost = $35>orderHolding cost = $2>unit>yearAverage lead time = 3 weeksStandard deviation of weekly demand = 125 unitsa. What is the economic order quantity for this item?b. If Petromax wants to provide a 90 percent cycle-servicelevel, what should be the safety stock and the reorder point?