Let the demand of a product per year is 7800 units. Its standard deviation is 780 (not variance), and it follows a normal distribution. Let the delivery lead time follows a uniform distribution between 15 to 20 days. Determine the chance of having an inventory cycle with shortage when the reorder point is 700 units. Use the time unit of week. One week is five days. One year is 52 weeks.
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- For a company operating 300 days a year, the annual demand is 63,000 units, the lead time is 4 days, the ordering cost per order is BD 80 and the inventory turnover is 12, the reorder point is A. Every 12 days B. Every 4 days C. When 175 units remain D. When 840 units remainPlease complete the sup part: e,f and g. 1.B&H needs to decide how to manage its inventory of cameras. The demand for cameras at B&H is 200 cameras per week. Each time that B&H places an order for a new shipment of cameras, it must pay $80 in fixed processing fees. A camera costs B&H $60 to purchase. The cost for B&H to hold a camera in its store for one week is $4. Assume that the lead time for the delivery of a camera is 0 weeks.a. Suppose that B&H places orders for cameras in quantities of 50 cameras at a time and places a new order for cameras each time that it runs out. Draw a graph showing the number of cameras that B&H has on-hand in inventory at each point in time up until the time when it places its fourth-order. Label the points in time at which B&H places a new order. Assume that B&H places its first order for 50 cameras on day 0.b. Suppose again that B&H places orders for 50 cameras at a time. What will be B&H’s average holding…Rick Jerz is attempting to perform an inventory analysison one of his most popular products. Annual demand for thisproduct is 5,000 units; ca rrying cost is $50 per unit per year; ordercosts for his company typically run nearly $30 per order; and leadtime averages I 0 days. (Assume 250 working days per year.)a) What is the economic order quantity?b) What is the average inventory?c) What is the optimal number of orders per year?d) What is the optimal number of working days between orders?e) What is the total annual inventory cost (carrying cost+ ordering cost)?t) What is the reorder poi nt?
- I NEED IT TODAY, 1. B&H needs to decide how to manage its inventory of cameras. The demand for cameras at B&H is 200 cameras per week. Each time that B&H places an order for a new shipment of cameras, it must pay $80 in fixed processing fees. A camera costs B&H $60 to purchase. The cost for B&H to hold a camera in its store for one week is $4. Assume that the lead time for the delivery of a camera is 0 weeks.a. Suppose that B&H places orders for cameras in quantities of 50 cameras at a time and places a new order for cameras each time that it runs out. Draw a graph showing the number of cameras that B&H has on-hand in inventory at each point in time up until the time when it places its fourth order. Label the points in time at which B&H places a new order. Assume that B&H places its first order for 50 cameras on day 0.b. Suppose again that B&H places orders for 50 cameras at a time. What will be B&H’s average holding costs per week? What will…1. Suppose that the R&B Beverage Company has a soft drink product that shows a constant annual demand rate of 3600 cases. A case of the soft drink costs R&B $3. Ordering costs are $20 per order and holding costs are 25% of the value of the inventory. R&B has 250 working days per year, and the lead time is 5 days. Identify the following aspects of the inventory policy: a. Cycle timeSuppose that the EOQ is 100, average annual demand is1,000 units, and the lead time demand is a random variablehaving the distribution shown in Table 15.a What value of SLM1 corresponds to a reorder pointof 25?b If we wanted to attain a 95% value of SLM1, whatreorder point should we choose?c If we wanted an average of at most two stockouts peryear, what reorder point should we choose? Lead TimeDemand Probability10 16 15 14 20 14 25 112 30 14
- A manager receives a forecast for next year. Demand is projected to be 600 units for the first half of the year and 920 units for the second half. The monthly holding cost is $2 per unit, and it costs an estimated $55 to process an order. a.Assuming that monthly demand will be level during each of the six-month periods covered by the forecast (e.g., 100 per month for each of the first six months), determine an order size that will minimize the sum of ordering and carrying costs for each of the six-month periods. (Round your answers to the nearest whole number.) Period Order Size 1 – 6 months?_____units 7 – 12 months?_____units b.If the vendor is willing to offer a discount of $10 per order for ordering in multiples of 50 units (e.g., 50, 100, 150), would you advise the manager to take advantage of the offer in either period? If so, what order size would you recommend? (Round intermediate calculations to 2 decimal places.) Period Order Size 1 – 6 months?____ units 7 – 12 months?____…The following data are for an inventory item in which the EOQ model applies: Given: D = 10,000 units (annual demand) R = P10 per unit P = P500 per order C = 25% 0f average inventory Find: a. the number of orders per year b. the economic order quantity (EOQ) c. the amount in pesos per order d. the number of days interval between orders e. the total inventory costs. Custom Computers, Inc. assembles custom home computersystems. Th e heat sinks for the central processing units are boughtfor $12 each and are ordered in quantities of 1300 units. Annualdemand is 5200 heat sinks, the annual inventory holding cost is$3 per unit, and the cost to place an order is estimated to be $50.Assume that demand occurs continuously through the year andthat a new order is placed in time so the order arrives at the sametime as the previous inventory runs out.(a) Construct a base-case spreadsheet model to help analyzediff erent order quantities. Th e primary output of interestis the total annual inventory-related cost, comprisingtotal ordering cost and total holding cost. Holding costcan be applied to the average inventory level through theyear. Given the assumption about continuously occurringdemand and that orders arrive just in time, the averageinventory level will be half of the order quantity.(b) For the base-case order quantity of 1300 heat sinks, whatis the…
- The two most important inven tory-based questionsanswered by the typical inventory model are:a) when to place an order and the cost of the order.b) when to place an order and how much of an item to order.c) how much of an item to order and the cost of the order.d) how much of an item to order and with whom the order should be placed.The safety stock in re-order point system:a) shall with a certain probability cover demand exceedingthe expected during the lead-timeb) is a non-linear function of lead-timec) is not depending on the order-quantityd) all of the above.A hospital must order the drug Porapill from DaisyDrug Company. It costs $500 to place an order and $30 toreview the hospital’s inventory of the drug. Annual demandfor the drug is N(10,000, 640,000), and it costs $5 to holdone unit in inventory for one year. Orders arrive one monthafter being placed. Assume that all shortages are backlogged.a Estimate R and the number of orders per year thatshould be placed.b Using the answer in part (a), determine the optimal(R, S) inventory policy. Assume that the shortage costper unit of the drug is $100.