cost is P400 per sack per year, and stock out cost is P250 per sack. Calculate the optimal reorder point and the safety stock they need to keep.
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- Chris usually sells 120 copies of newspaper each day and believe that sale are normally distributed, with a standard deviation of 15 papers. He pays 70 cents for each paper, which sells $1.25. For each unsold paper, he receives 30-cent credit. a) determine how many papers he should order each day b) calculate the stockout risk for that quantity.The amount of denim used daily by the Southwest ApparelCompany in its manufacturing process to make jeans isnormally distributed with an average of 4000 yards ofdenim and a standard deviation of 600 yards. The lead timerequired to receive an order of denim from the textile mill is a constant 7 days. Determine the safety stock and re-order point if the company wants to limit the probability of a stockout and work stoppage to 5%.ou are a newsvendor selling the San Pedro Times every morning. Before you get to work, you go to the printer and buy the day’s paper for $0.50 a copy. You sell a copy of the San Pedro Times for $1.25. Daily demand is distributed normally with mean = 335 and standard deviation = 67. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. How many copies of the San Pedro Times should you buy each morning and what is the probability that you will run out of stock? Use Excel's NORM.S.INV() function to find the z value.
- A product is ordered once each year, and the reorder point without safety stock (dL) is 100 units. Inventory carrying cost is $10 per unit per year, and the cost of a stockout is $50 per year. Given the following demand probabilities during the reorder period, how much safety stock should be carried? DEMAND DURING REORDER PERIOD PROBABILITY 0 .1 50 .2 ROP 100 .4 150 .2 200 .1An electronics retailer wants to develop an inventory policy to achieve 99% chance of not getting stockouts for a chip. The daily demand for the chip is estimated to be Normal with mean 200 and standard deviation of 20. They count the chip inventory every 2 weeks to place an order, and it takes 11 days for the ordered chips to be delivered. The retailer operates 7 days a week, 365 days a year. They are going to implement an order-up-to model. A) What base stock level should they choose? B) What is the number of chips they would have on order (on average)? C) When they checked their inventory of chips to place a new order, they found that they ran out of stock completely. In addition, they have 10 chips on way to be delivered, while there are five customers who paid for 20 chips in total and are waiting to receive their chips. How many chips should the retailer order?The injection molding department of a company uses an average of 30 gallons of special lubricanta day. The supply of the lubricant is replenished when the amount on hand is 170 gallons. It takesfour days for an order to be delivered. Safety stock is 50 gallons, which provides a stockout risk of9 percent. What amount of safety stock would provide a stockout risk of 3 percent? Assumenormality.
- Consider a hardware supply warehouse that is contractually obligated to deliver 1000units a specialized fastener to a local manufaturing company each week. Each time thewarehouse places an order for these items from its supplier, an ordering and transporationfee off $20 is charged to the warehouse. The warehouse pays $1.00 for each fastener andcharges the local firm $5.00 for each fastener. Annual holding cosst iss 25% off inventoryvalue, or $0.25 per year. The warehouse manager would like to know how much to orderwhen inventory gets to zero.Assume that the warehouse works 50 weeks/year.Furnitures sells office chairs ordered from its flagship store. It costs $100 to place an order, and the lead time is two weeks. Demand during lead time is N(40, 1.96). in future goodwill. It pays $60 for each chair and sells it for $100. The annual holding a chair inventory is 30% of its purchase cost. Furnitures estimates that each stockout causes a loss of $50 a) Assuming that all demand is backlogged, what are the reorder point and the safety stock level? b) To meet 99% service objective, what should be the safety stock level for Type 1 Service? For Type 2 Service?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.
- The economic order quantity of Geo Co. is determined to be 450 units and it sells its only product for P5 each. Every time the company orders, it incurs P50. Holding cost is P10. It takes 3 days to make and receive an order. How much sales should Geo Co. for this economic order quantity to be plausible? (Using 360 day per year)Suppose that the owner of the campus bar, Nick’s, has determined that demand for beer during leadtime averages 5000 bottles. Nick, the owner, believes the demand during lead time can be describedby a normal distribution with a mean of 5000 bottles and a standard deviation of 300 bottles. Nick iswilling to accept a stockout risk of approximately 4 percent. Determine the appropriate z value to use.Calculate how much safety stock Nick should hold. Also determine the reorder point.The annual demand for pollock (a type of fish) at Ant Kitchens is 1000 pounds. The per pound cost of Pollock for Ant Kitchens $4.00. Fish are delivered frozen from the supplier three weeks after the order is placed. Each time an order of Pollack is received, Ant incurs $200 in handling costs to store the Pollack for use. Ant Kitchens cost of capital is 20%. Assume 50 weeks in a year. a) If Ant currently orders pollock 4 times per year, what are the inventory ordering and holding costs associated with this policy? b) What is the optimal continuous review ordering policy for pollock at Ant? What is the cost of this policy? How does this answer compare to part a? c) If Ant Kitchens follows the inventory policies above, how long does the company hold the average pound of pollock in inventory in each case? What is the inventory turnover? Interpret these quantities in a sentence.