Calculate the average time a unit spends in inventory between orders in DAYS for the optimal order quantity from the problem above.
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- HairGlow uses a chemical in the production of one of its hair products at a rate of 1,000 litres per year. The cost of placing an order and of receiving the chemical once it arrives in the warehouse is Ksh 30 and Ksh 70 respectively. The chemical is purchased at Ksh 20 per litre. Holding costs per year for a litre of the chemical is considered to be 15 percent of its cost. Find the length of an inventory cycle.HairGlow uses a chemical in the production of one of its hair products at a rate of 1,000 litres per year. The cost of placing an order and of receiving the chemical once it arrives in the warehouse is Ksh 30 and Ksh 70 respectively. The chemical is purchased at Ksh 20 per litre. Holding costs per year for a litre of the chemical is considered to be 15 percent of its cost. Find the average inventory cost per yearLeaky Pipe, a local retailer of plumbing supplies, faces de-mand for one of its SKUs at a constant rate of 30,000 unitsper year. It costs Leaky Pipe $10 to process an order toreplenish stock and $1 per unit per year to carry the itemin stock. Stock is received 4 working days after an order isplaced. No backordering is allowed. Assume 300 workingdays a year.a. What is Leaky Pipe’s optimal order quantity?b. What is the optimal number of orders per year?c. What is the optimal interval (in working days) betweenorders?d. What is the demand during the lead time?e. What is the reorder point?f. What is the inventory position immediately after an orderhas been placed?
- ABC Inc., purchases Widgets from an overseas supplier under a continuous review system. The average demand for a popular model is 300 units a day with a Lead Time standard deviation of 70 units. It costs $60 to process each order and there is a five-day lead-time. The holding cost for a widget is $0.25 per year and the company policy is to maintain a 98% service level. ABC operates 200 days per year. What is the additional cost in $ of holding the safety stock necessary to maintain the 98% service level? What service level in % does a reorder point of 1,570 imply?Buckley Enterprise sells a product that cost $450 per unit and has a monthly demand of 5,000 units. The annual holding cost per unit is calculated as 5% of the unit purchase price. It costs the business $75 to place a single order. Currently the business places 12 orders each year. i) What is the total stock administrative cost of Buckley’s current inventory policy? ii) Is this the entity’s cost minimizing solution for this product each year? Explain.3. 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 1 OMR per unit. The retailer operates 300 days per year. What is the optimal backorder (shortage) level in units? Round - up to the nearest integer ?? a. 633 b. 1132 C. 1450 d. 860 e. 895 f. None is correct
- Cooler Corporation is a manufacturer of cooling products. It purchases 14,400 units of a particular component (CK55) each year at a cost of $60 per unit. Cooler Corporation requires a 12% annual rate of return on investment. In addition, relevant carrying costs for insurance, material-handling, and breakage are $0.40 per unit per quarter, whereas warehousing rental cost is $12,000 per month. Relevant costs per purchase order are $144.00. Purchasing manager’s salary is $80,000 per year. Required: Calculate Cooler’s EOQ for CK55. Calculate Cooler’s total ordering and carrying costs. Assume that demand is uniform throughout the year and is known with certainty. The purchasing time is half a month. Calculate the reorder point for CK55.Johnson Tire Plaza (JTP) is a large chain of tire shops, who sells various brand of automobile tires. The yearly demand of a particular brand of time is about 8,888 units per year. JTP purchases these tires from a supplier. The ordering cost is $124 per order and the holding cost is $19 per tire per year. The supplier always deliver the shipment within 6 days after receiving a replenishment order from JTP. The company operates 250 days per year. Assume EOQ model is applicable. What is the optimal annual inventory cost for JTP? Use at least 4 decimal places.Buckley Enterprise sells a product that cost $450 per unit and has a monthly demand of 5,000units. The annual holding cost per unit is calculated as 5% of the unit purchase price. It costs thebusiness $75 to place a single order. Currently the business places 12 orders each year.i) What is the total stock administrative cost of Buckley’s current inventory policy?ii) Is this the entity’s cost minimizing solution for this product each year? Explain.
- Cranium, Inc., purchases term papers from an overseas supplier under a continuous review system. The average demand for a popular mode is 300 units a day with a standard deviation of 30 units a day. It costs $60 to process each order and there is a five-day lead-time. The holding cost for a paper is $0.25 per year and the company policy is to maintain a 98% service level. Cranium operates 200 days per year. A normal distribution table is append-: this exam. a) Determine the reorder point R to satisfy a 98% cycle-service level. b) What service level does a reorder point of 1,524 imply? c) If lead-time increases by three days, what is the reorder point needed to maintain a 98% service level? d) What is the cost of holding the safety stock necessary to maintain the 98% service level?A retail store dealing in computer hardware imports an enterprise model solid-state drive (SSD) at a fixed price of $1,100 per unit from the sole distributer of the SSD. On January 1, 2015, the store received an offer of 12.5% discount on orders of 300 or more units. Provided further that the estimated sales for the year are 500 units, the cost incurred per order is $950 and the average holding cost per unit per annum is estimated to be $110 per unit. The full price is likely to remain $1,100 during the year. Please ignore opening and closing inventories, safety stock etc. What is the Maximum Inventory Level under Discount Order Qty? What is the Annual Holding Cost under Discount Order Qty?I need a detailed explanation on how to solve this problem: A paint shop implements an inventory policy on its stock of white paint, which costs the store $6 per can. Monthly demand for cans of white paint is normal with mean 28 and standard deviation 8. The replenishment lead time is 14 weeks. Excess demand is backordered, but costs $10 per back ordered can in labor and loss of goodwill. There is a fixed cost of $15 per order, and the holding cost is based on 30% interest rate per annum. In your computations, assume 4 weeks per month. - Write down the model name and parameters. - What are the optimal lot size and reorder points for white paint (include the formulas)? - What is the optimal safety stock (include the formula)? *** Suppose the paint shop from the above problem adopts a service level policy. - What are the optimal lot size and reorder points for white paint, such that 90% of the cycles are filled without backordering (include all formulas)? - What is the fill rate…