You are the owner of Hotspices.com, an online retailer of hip, exotic, and hard-to-find spices. Consider your inventory of saffron, a spice (generally) worth more by weight than gold. You order saffron from an overseas supplier with a shipping lead time of four weeks and you order weekly. Average weekly demand is normally distributed with a mean of 60 ounces and a standard deviation of 20 ounces. What is its expected on-order inventory? (round up to the nearest integer)
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- Charlie’s Pizza orders all of it pepperoni, olives, anchovies, and mozzarella cheese to be shipped directly from Italy. An American distributor stops by every seven weeks to take orders. Because the orders are shipped directly from Ital, they take six weeks to arrive. Charlies Pizza uses an average of 250 pounds of pepperoni each week, with a standard deviation of 18 pounds. Charlie prides itself on offering only the best –quality ingredients and a high level of service, so it wants to ensure a 95 percent probability of not stocking out on pepperoni. Assume that the sales representative just walked in the door and there are currently 470 pounds of pepperoni in the walk-in cooler. How many pounds of pepperoni would you order? (Use the excels NORMSINV( ) function to find the critical value for the given a-level, (Round you z-value to 2 decimal places and final answer tDemand for a product is relatively constant at 5 units per day. Lead time for this product is normally distributed with a mean of 20 days and a standard deviation of 4 days. (a) What reorder point provides an 80 percent service level? (b) What reorder point provides a 90 percent service level? (c) If the lead time standard deviation can be reduced from 4 days to 1, what reorder point now provides 90 percent service? How much is safety stock reduced by this change?As inventory manager, you must decide on the order quantity for an item that has an annual demand of 2,000 units. Placing an order costs you $20 each time. Your annual holding cost, expressed as a percentage of average inventory value, is 20 percent. Your supplier has provided the following price schedule:Minimum Order Quantity Price per Unit1 $2.50200 $2.40300 $2.251,000 $2.00What ordering policy do you recommend?
- The National Company uses 150,000 gallons of hydrochloric acid per month. The cost of carrying the chemical in inventory is 50 cents per gallon per year, and the cost of ordering the chemical is P150 per order. The firm uses the chemical at a constant rate throughout the year. What is the total ordering costs if the company will purchase at EOQ level? Format: 1,111.11 The National Company uses 150,000 gallons of hydrochloric acid per month. The cost of carrying the chemical in inventory is 50 cents per gallon per year, and the cost of ordering the chemical is P150 per order. The firm uses the chemical at a constant rate throughout the year. How many days does each order (at the EOQ level) will last? Use 360 days Format: 1You are in charge of inventory control of a highly successful product retailed by your firm. Weekly demand for this item varies, with an average of 350 units and a standard deviation of 15 units. It is purchased from a wholesaler at a cost of $25.00 per unit. The supply lead time is 7 weeks. Placing an order costs $55.00, and the inventory carrying rate per year is 15 percent of the item's cost. Your firm operates 6 days per week, 50 weeks per year. Refer to the standard normal table The table below shows the total area under the normal curve for a point that is Z standard deviations to the right of the mean. Z 0.00 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09 0.0 0.5000 0.5040 0.5080 0.5120 0.5160 0.5199 0.5239 0.5279 0.5319 0.5359 0.1 0.5398 0.5438 0.5478 0.5517 0.5557 0.5596 0.5636 0.5675 0.5714 0.5754 0.2 0.5793 0.5832 0.5871 0.5910 0.5948 0.5987 0.6026 0.6064 0.6103 0.6141…An ophthalmologist's office operates 52 weeks per year, 6 days a week. It purchases disposable contact lenses for $11.70 per pair and sells for $50. The demand is 90 pairs per week. Order cost is $54 per order. Annual interest rate is 27%. Lead-time is 3 weeks. Standard deviation of weekly demand is 15 pairs. Given that 98% service-level. Clearly identify different types of stocks: cycle, safety and pipeline. a. Find a (Q, r) policy for this situation c. Find average service level (fill rate) of the policy (a) d. Find average backorder level of the policy (a) e. Find average inventory level of the policy (a)
- The company uses cooking oil in its business. The usage of cooking oil is normally distributed with an average of 30 gallons per week and a standard deviation of four gallons per week. The manager asked you to help him decide how to reorder cooking oil in order to achieve a service level of 97.5 percent . Lead time is nine days. a) If cooking oil can be ordered as needed, what reorder point should be used? Answer in 2 decimal places.b) If a fixed interval of 20 days is specified, how much safety stock should the company carry. Answer in 2 decimal places.Rapallo Sneakers, Inc. sells a pair of LG sneakers for $40. Due to the recent fitness craze, these shoes are in high demand: 68 pairs of shoes are sold per week. The ordering cost is $40 per order, and the annual holding cost is 20 percent of the selling price. If the store operates 50 weeks a year, what can you say about the size of the current order quantity of 250 pairs?A local retailer anticipates an annual demand 12000 units of a product. The retailers] allows shortages for that product, and these shortages are backordered at a rate of 1.5 OMR per unit backordered. The cost of ordering is 200 OMR, whereas, the annual holding cost is 1OMR per unit. The retailer operates 300 days per year. What is the optimal backorder (shortage) level in units? Round-up to the nearest integer
- The A&M Hobby Shop carries a line of radio-controlled model racing cars. Demand for the cars is assumed to be constant at a rate of 50 cars per month. The cars cost $70 each, and ordering costs are approximately $15 per order, regardless of the order size. The annual holding cost rate is 20%. (a) Determine the economic order quantity and total annual cost (in $) under the assumption that no backorders are permitted. (Round your answers to two decimal places) Q-3354 TC- $ 500 00 X (b) Using a $45 per unit per-year backorder cost, determine the minimum cost inventory policy and total annual cost (in $) for the model racing cars (Round your answers to two decimal places) Q-1024 x x TC-$400.93 (c) What is the maximum number of days a customer would have to wait for a backorder under the policy in part (b)? Assume that the Hobby Shop is open for business 300 days per year. (Round y to two decimal places) 5.12 x days (d) Would you recommend a no-backorder or a backorder inventory policy for…The A&M Hobby Shop carries a line of radio-controlled model racing cars. Demand for the cars is assumed to be constant at a rate of 50 cars per month. The cars cost $70 each, and ordering costs are approximately $15 per order, regardless of the order size. The annual holding cost rate is 20%. (a) Determine the economic order quantity and total annual cost (in $) under the assumption that no backorders are permitted. (Round your answers to two decimal places.) X Q* TC = (b) Using a $45 per-unit per-year backorder cost, determine the minimum cost inventory policy and total annual cost (in $) for the model racing cars. (Round your answers to two decimal places.) Q* X TC = (c) What is the maximum number of days a customer would have to wait for a backorder under the policy in part (b)? Assume that the Hobby Shop is open for business 300 days per year. (Round your answer to two decimal places.) days (d) Would you recommend a no-backorder or a backorder inventory policy for this product?…The A&M Hobby Shop carries a line of radio-controlled model racing cars. Demand for the cars is assumed to be constant at a rate of 50 cars per month. The cars cost $80 each, and ordering costs are approximately $15 per order, regardless of the order size. The annual holding cost rate is 20%. (a)Determine the economic order quantity and total annual cost (in $) under the assumption that no backorders are permitted. (Round your answers to two decimal places.) Q*=TC=$ (b)Using a $45 per-unit per-year backorder cost, determine the minimum cost inventory policy and total annual cost (in $) for the model racing cars. (Round your answers to two decimal places.) Q*=TC=$ (c)What is the maximum number of days a customer would have to wait for a backorder under the policy in part (b)? Assume that the Hobby Shop is open for business 300 days per year. (Round your answer to two decimal places.) days (d)Would you recommend a no-backorder or a backorder inventory policy for this…