5. A product has an average daily demand of 400 units with standard deviation of 10.0 units. Lead-time is 1 day. If management would like to satisfy all demand in 80% of the cycles, what is the reorder point?
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- You 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 $0.25 a copy. You sell a copy of the San Pedro Times for $1.30. Daily demand is distributed normally with mean = 260 and standard deviation = 46. At the end of each morning, any leftover copies are worthless and they go to a recycle bin. a. How many copies of the San Pedro Times should you buy each morning? Note: Use Excel's NORM.S.INV() function to find the z value. Round your z value and service level to 2 decimal places and final answer to the nearest whole number. Optimal order quantity b. Based on a, what is the probability that you will run out of stock? Note: Round your answer to the nearest whole percent. Probability %David's Delicatessen flies in Hebrew National salamis regularly to satisfy a growing demand for the salamis in Silicon Valley. The owner, David Gold, estimates that the demand for the salamis is pretty steady at 175 per month. The salamis cost Gold $1.85 each. The fixed cost of calling his brother in New York and having the salamis flown in is $200. It takes three weeks to receive an order. Gold's accountant, Irving Wu, recommendsan annual cost of capital of 22 percent, a cost of shelf space of 3 percent of the value of the item, and a cost of 2 percent of the value for taxes and insurance. How many salamis should Gold have on hand when he phones his brother to send another shipment?David’s Delicatessen flies in Hebrew National salamis regularly to satisfy a growing demand for the salamis in Silicon Valley. The owner, David Gold, estimates that the demand for the salamis is pretty steady at 175 per month. The salamis cost Gold $1.85 each. The fixed cost of calling his brother in New York and having the salamis flown in is $200. It takes three weeks to receive an order. Gold’s accountant, Irving Wu, recommends an annual cost of capital of 22 percent, a cost of shelf space of 3 percent of the value of the item, and a cost of 2 percent of the value for taxes and insurance.a. How many salamis should Gold have flown in and how often should he order them?b. How many salamis should Gold have on hand when he phones his brother to send another shipment?c. Suppose that the salamis sell for $3 each. Are these salamis a profitable item for Gold? If so, what annual profit can he expect to realize from this item? (Assume that he operates the system optimally.)d. If the salamis…
- 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.During the last 5 weeks, demands for a certain SKU at a retailer were 7 units (5 weeks ago), 4 units, 4 units, 4 units, and 5 units (last week). The retailer uses a period review model with order-up-to level 71 units, a review period of 2 weeks, and the lead time is 11 weeks. It is time to order. How much should the retailer order?Daily demand for a product is 120 units, with a standard deviation of 30 units. The review period is 14 days and the lead time is 7 days. At the time of review, 130 units are in stock. If only a 1 percent risk of stocking out is acceptable, how many units should be ordered?
- You 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 $0.25 a copy. You sell a copy of the San Pedro Times for $1.00. Daily demand is distributed normally with mean = 250 and standard deviation = 50. At the end of each morning, any leftover copies are worthless and they go to a recycle bin.a. How many copies of the San Pedro Times should you buy each morning?b. Based on part (a), what is the probability that you will run out of stock?The materials manager for a billiard ball maker must periodically place orders for resin, one of the raw materials used in producing billiard balls. She knows that manufacturing uses resin at a rate of 50 kilograms each day, and that it costs $.04 per day to carry a kilogram of resin in inventory. She also knows that the order costs for resin are $100 per order, and that the lead time for delivery is four days. If the order size was 1,000 kilograms of resin, what would be the average inventory level?David’s Delicatessen flies in Hebrew National salamis regularly to satisfy a growing demand for the salamis in Silicon Valley. The owner, David Gold, estimatesthat the demand for the salamis is pretty steady at 175 per month. The salamis costGold $1.85 each. The fixed cost of calling his brother in New York and having thesalamis flown in is $200. It takes three weeks to receive an order. Gold’s accountant, Irving Wu, recommends an annual cost of capital of 22 percent, a cost of shelfspace of 3 percent of the value of the item, and a cost of 2 percent of the value fortaxes and insurance.c. Suppose that the salamis sell for $3 each. Are these salamis a profitable itemfor Gold? If so, what annual profit can he expect to realize from this item?(Assume that he operates the system optimally.)
- David’s Delicatessen flies in Hebrew National salamis regularly to satisfy a growing demand for the salamis in Silicon Valley. The owner, David Gold, estimatesthat the demand for the salamis is pretty steady at 175 per month. The salamis costGold $1.85 each. The fixed cost of calling his brother in New York and having thesalamis flown in is $200. It takes three weeks to receive an order. Gold’s accountant, Irving Wu, recommends an annual cost of capital of 22 percent, a cost of shelfspace of 3 percent of the value of the item, and a cost of 2 percent of the value fortaxes and insurance.b. How many salamis should Gold have on hand when he phones his brother tosend another shipment?David’s Delicatessen flies in Hebrew National salamis regularly to satisfy a growing demand for the salamis in Silicon Valley. The owner, David Gold, estimatesthat the demand for the salamis is pretty steady at 175 per month. The salamis costGold $1.85 each. The fixed cost of calling his brother in New York and having thesalamis flown in is $200. It takes three weeks to receive an order. Gold’s accountant, Irving Wu, recommends an annual cost of capital of 22 percent, a cost of shelfspace of 3 percent of the value of the item, and a cost of 2 percent of the value fortaxes and insurance.a. How many salamis should Gold have flown in and how often should he orderthem?In a two-bin inventory system, the demand for three-inch lag bolts during the 2-week lead time is normally distributed, with an average of 53 units per week. The standard deviation of weekly demand is 5 units. a. What is the probability of demand exceeding the reorder point when the normal level in the second bin is set at 130 units? b. What is the probability of demand exceeding the 130 units in the second bin if it takes 3 weeks to receive a replenishment order?