A building materials supplier obtains its bagged cement from a single supplier. Demand is reasonably constant throughout the year, and last year the company sold 2,000 tonnes of this product. It estimates the costs of placing an order at around £25 each time an order is placed, and calculates that the annual cost of holding inventory is 20 per cent of purchase cost. The company purchases the cement at £60 per tonne. How much should the company order at a time?
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A building materials supplier obtains its bagged cement from a single
supplier. Demand is reasonably constant throughout the year, and last year the
company sold 2,000 tonnes of this product. It estimates the costs of placing an order
at around £25 each time an order is placed, and calculates that the annual cost of
holding inventory is 20 per cent of purchase cost. The company purchases the cement
at £60 per tonne. How much should the company order at a time?
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- Answer the given question with a proper explanation and step-by-step solution. A daily newspaper is stocked by a coffee shop so its patrons can purchase and read it while they drink coffee. The newspaper costs $1.16 per unit and sells for $1.75 per unit. If units are unsold at the end of the day, the supplier takes them back at a rebate of $1 per unit. Assume that daily demand is approximately normally distributed with ? = 150 and ? = 30. (a) What is your recommended daily order quantity for the coffee shop? (Round your answer to the nearest integer.) (b) What is the probability that the coffee shop will sell all the units it orders? (Round your answer to four decimal places.) (c) In problems such as these, why would the supplier offer a rebate as high as $1? For example, why not offer a nominal rebate? Find the recommended order quantity at 25¢ per unit. (Round your answer to the nearest integer.) What happens to the coffee shop's order quantity as the rebate is reduced? The higher…A Mercedes dealer pays $40,000 for each car purchased (wholesale price). The annual holding cost is estimated to be 30% of the dollar value of inventory. The dealer sells an average of 1200 cars per year. They believe that demand is backlogged but estimate that if they are short one car for one year, the loss in future profits is about 10% of the wholesale price. Each time the dealer places an order for cars, ordering costs amount to $1600. Assume there are 360 work days per year. Question: What percent of the time do shortages occur? I've deduced the percent of shortage time to be 25%, but am not sure I've set up my formulas correctly.IKEA purchases desks from a supplier in Germany. Their stores in the US sell 4,000 units of desks each month. Each unit costs $300, and the company has an annual holding cost of 20%. Placing a replenishment order incurs clerical costs of $500 per order. Theshipping company charges $1,500 as a fixed cost per shipment. IKEA currently places a replenishment order every two months for 3,000 units. What is the annual ordering cost, annual holding cost, and annual total inventory cost under thecurrent replenishment plan? Group of answer choices 32,000, 272,000, and 240,000 24,000, 264,000, and 240,000 24,000, 240,000, and 264,000 32,000, 240,000, and 272,000
- Medtronic sells medical devices. The company enjoys many growth opportunities, and so it measures its inventory holding cost at the rate of 25% per year. It currently turns over its inventory 3 times per year. Its gross margin (the difference between revenue and cost) as a percentage of its revenue is an enviable 65%. a. For an item that costs Medtronic $600 to produce, what would be the cost ($s) to hold this item for one year in inventory? b. For an item that costs Medtronic $350 to produce, what is the cost to hold it in inventory ($s)? (Assume it remains in inventory for the average amount of time for the company.)company sells 20,000 radios evenly throughout the year. The cost of carrying one unit of inventory for one year is P8, and thepurchase order cost per order is P32. What is the economic orderquantityA large manufacturer purchases a part from a supplier under a continuous review system. The average demand is 400 units a day with a standard deviation of 50 units a day. It costs $55 to process each order. The holding cost for a part is $0.2 per month and the company has a policy of maintaining a 96% service level. The company operates 315 days per year. The time from when an order is placed to when it arrives at the company from its vendor is 5 days. a- What is the reorder point? b- What order quantity would be appropriate c- What is the total annual cost for this item?
- The following lots of a particular commodity were available for sale during the year Beginning inventory 7 units at $49.00 First purchase 18 units at $54.00 Second purchase 25 units at $59.00 Third purchase 14 units at $59.00 The firm uses the periodic system, and there are 23 units of the commodity on hand at the end of the year. What is the amount of inventory at the end of the year according to the FIFO method? Select the correct answer. $1,127.00 $1,357.00 $3,616.00 $3,593.00The 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?You are the operations manager of a firm that uses the continuous review inventory control system. Suppose the firm operates 252 days a year and has the following characteristics for its primary item: Demand = 25,000 units/year Ordering cost = $30/order Holding cost = $1/unit/year Lead time = 4 days Standard deviation in daily demand = 10 units What is the total holding cost per year, including annual holding cost for safety stock (to the nearest whole number)? (Service level=95%) answer is 645 but why?
- A daily newspaper is stocked by a coffee shop so its patrons can purchase and read it while they drink coffee. The newspaper costs $1.16 per unit and sells for $1.75 per unit. If units are unsold at the end of the day, the supplier takes them back at a rebate of $1 per unit. Assume that daily demand is approximately normally distributed with ? = 150 and ? = 30. (a) What is your recommended daily order quantity for the coffee shop? (Round your answer to the nearest integer.) (b) What is the probability that the coffee shop will sell all the units it orders? (Round your answer to four decimal places.) (c) In problems such as these, why would the supplier offer a rebate as high as $1? For example, why not offer a nominal rebate? Find the recommended order quantity at 25¢ per unit. (Round your answer to the nearest integer.)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…An electronic store uses continuous review policy to manage the inventory of its high selling monitor model. The monitor has the following characteristics. The annual demand for the monitor is (4000 *2) units per week. The monitors are bought from an offshore supplier at a unit price of 7000 AED per unit and each order costs 80000 AED. The holding cost of laptops is 25% of the value of the product. What would be the average time between orders (in weeks)? What would be the average inventory level? The electronic store is considering a local supplier. The ordering cost of the new supplier is 65000 AED however the unit price of the monitor is 9000 AED. Should the electronic store change its supplier