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An electronics retailer sells laptops at a steady rate of 7,500 per quarter. It costs the manufacturer $350 to
make each laptop, and they charge $400/laptop to the retailer. The manufacturer produces the laptop at a
steady rate that matches demand, and incurs a fixed cost of $2,800 to fulfill each retail order. Both the
retailer and the manufacturer have an annual holding cost percentage of 20%. The retailer places 10
orders with the laptop manufacturer each quarter (which it determined from an EOQ calculation). What
are the retailer’s and
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- (a) AV City stocks and sells a particular brand of laptop. It costs the firm $625 each time it places an order with the manufacturer for the laptops. The cost of carrying one laptop in inventory for a year is $130. The store manager estimates that total annual demand for the laptops will be 1500 units, with a constant demand rate throughout the year. Orders are received within minutes after placement from a local warehouse maintained by the manufacturer. The store policy is never to have stock-outs of the laptops. The store is open for business every day of the year except Christmas Day. Determine the following: 1) Optimal order quantity per order2) Minimum total annual inventory costs3) The number of orders per year4) The time between orders (in working days) (b) Consider four cases of variation in the model parameters as follows: (a) Both ordering cost and carrying cost are 10% less than originally estimated; (b) both ordering cost and carrying cost are 10% higher than originally…The Bosch factory in New Bern, NC uses dishwasher motors at a steady rate of 17308 units per year. Bosch procures these units from a supplier at a purchase cost of $58 per unit. Bosch receives an order 26 days after it is placed. Regardless of the number of units ordered, Bosch incurs a fixed cost of $2988 for placing, shipping, and receiving the order. The holding cost per unit per year is 30% of the purchase cost per unit. Assume Bosch operates 364 days, 52 weeks, or 12 months per year. Calculate the average time a unit spends in inventory between orders in DAYS for the optimal order quantity from the problem above. Rounding instructions • Carry your calculations to at least 3 decimal places. • Enter your answer rounded to one decimal place (nearest tenth).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. It takes 18 days to receive an order once it is placed. The reorder point is (Operating days is 360/year)
- Demand for your product averages 20 units per day, with a standard deviation of 4. Your lead time is 5 days. What should your reorder point be, if you want to have a 95% chance of not running out of products during the lead time? With this reorder level, how much safety stock do you have?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…Demand 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?
- The manager of an auto parts store is reviewing the inventory policy for one of their fastest selling products — car batteries. The store sells an average of 40 car batteries every week. The cost to hold one battery in inventory for a year is $15. The ordering cost per order is estimated at $50. The store operates all 52 weeks in a year.Use the information in Scenario 9.5. If the manager decides to order at the economic order quantity, what is the sum of the annual ordering cost and holding cost? Group of answer choices greater than $1800 but less than or equal to $2100It takes approximately 2 weeks (14 days) for an order of steel bolts to arrive once the order has been placed. The demand for bolts is fairly constant; on the average, the manager, Michelle Wu, has observed that the hardware store sells 500 of these bolts each day. Because the demand is fairly constant, Michelle believes that she can avoid stockouts completely if she orders the bolts at the correct time. What is the reorder point? The reorder point is? units (enter your response as a whole number).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.
- The owner and manager of a hardware store reevaluates his inventory policy for hammers. sells an average of 50 hammers a month, so you have placed purchase orders for 50 hammers with a distributor at a cost of $20 each at the end of each month. But the owner does not place all the store orders and find that this takes much of your time. He estimates that the value of his time spent ordering hammers is $75. a) What must be the unit cost of maintaining hammers for the current policy of the hardware store to be Optimal according to the EOQ model? b) If the distributor delivers an order for hammers in 5 business days (out of an average of 25 per month), what should be the reorder point, according to the EOQ model?ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but may sometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, the supplier may take 7 days.Based on ABC’s records, ordering cost average P400 per order. Storage cost per box average P5 per year. There is also an opportunity cost of 1% per year for every peso invested in inventories. Each box of candles costs P450.If ABC would continue its current inventory management policy, it would keep 10,000 boxes as safety stock and order tendays-worth of inventory. (C) Reorder Point and Economic Order Quantity19. What would the average number of boxes be if the safety stock from Part A was kept and the EOQ from Part Bwas followed? Round off to two decimal places.20. How much would the carrying cost for the year be based on item 19?21. How much would the total inventory related (ordering plus carrying) costs be if the…ABC Corporation resells one type of candle. It has 250 working days. Each day, it sells an average of 500 boxes but may sometimes sell a maximum of 600 boxes. The supplier takes an average of 5 days to deliver the order. During busier times, the supplier may take 7 days. Based on ABC’s records, ordering cost average P400 per order. Storage cost per box average P5 per year. There is also an opportunity cost of 1% per year for every peso invested in inventories. Each box of candles costs P450. If ABC would continue its current inventory management policy, it would keep 10,000 boxes as safety stock and order ten-days-worth of inventory. (A) Reorder Point1. What should be the reorder point in boxes?2. How much would the normal lead time usage be?3. How much should ABC keep as safety stock?(B) Economic Order Quantity4. What is the annual demand for the boxes of candles?5. How much is the carrying cost of one box of candles for one year?6. What is the economic order quantity for the boxes of…