A product's demand over (/+1) periods follows a normal distribution with mean of 80 and standard deviation of 20. The order-up-to level is 100. What is the in-stock probability?
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- Please answer questions 9 and 10 based on this data. Daily demand for packages of five videotapes at a warehouse store is found to be normally distributed with a mean of 50 and a standard deviation of 5. When the store orders more tapes, the orders take four days to arrive. Assume the store is open 360 days a year. If the store wants the probability of stocking out to be no more than 5%, and demand each day is independent of the day before, what should be the safety stock? Please round your answer to two decimals. Safety stock= 17 Question 10 4 pts If the store wants the probability of stocking out to be no more than 5%, and demand each day is independent of the day before, what reorder point should be set? Please round your answer to two decimals. Reorder point=XYZ Company must order tires from its warehouse. It costs $10400 to place an order and to review the inventory level. Annual tire sales are normally distributed with mean 18000 and variance 4,000,000. It costs $8 per year to hold a tire in inventory, and each order arrives two weeks after being placed. The Company uses periodic review (R, S) policy. What is the review interval R (in years), estimated using EOQ.? Select one: a. 0.3801 b. 0.19 c. 0.2687 d. 1.075 e. 0.1267Annual demand is 16000 units, cost per order is $75 and carrying cost per unit as a percentage is 10%. The company works 250 weeks a year; the lead-time on all orders placed is 6 working days. Assuming constant lead-time demand, and a unit cost of $45 what is the economic order quantity? What is the reorder point. If lead-time demand shows variability that follows a normal distribution with a mean μ =420 and a standard deviation σ =20, what will the revised reorder point if two stock-outs (shortages) are allowed? What is the company’s reorder point if the probability of a stock-out on any cycle is restricted to 0.05?
- Your company currently keeps a safety stock of 554 units of a particular product that has a lead time of 10 days. Records indicate that the weekly demand was as follows: 1176 955 780 1052 736 842 748 993 852 738 794 1444 1333 1372 1106 706 923 734 786 729 1357 1165 1277 683 1106 What is the current service level? Input your result as the decimal form and round to 4 decimal places. You are requested to recommend a safety stock that will ensure an average service level of 97.5%. The lead time is not expected to change. What safety stock would you recommend? (0 decimal places)XYZ Company must order tires from its warehouse. It costs $10550 to place an order and to review the inventory level. Annual tire sales are normally distributed with mean 20000 and variance 4,000,000. It costs $10 per year to hold a tire in inventory, and each order arrives two weeks after being placed. The Company uses periodic review (R, S) policy. What is the review interval R (in years), estimated using EOQ.? Select one: a. 1.027 O b.0.1083 c. 0.2297 d. 0.1624 e. 0.3248A newsvendor orders 8000 units. Demand is normally distributed with a mean of9000 and a standard deviation of 2000. What is the stockout probability?
- A product’s demand over (L + 1) periods follows a normal distribution withmean 1000 and standard deviation 400. The order-up-to level is 1600. What is thein-stock probability?13 Pam’s demand for hats is normally distributed with mean 500 and standard deviation 100. She sells her hats for $50 each and buys hats for $10 each, and anything she can't sell by the end of the year, the wholesaler will buy for $5 each. How many hats should she order for next year to maximize profit?= A small manufacturing facility stocks a single-use filter, part SUF100, for their production process. It costs the manufacturer $1.50 per filter to purchase and $100 per order placed. They use a holding cost of 28% annually. Monthly demand for SUF100 follows a normal distribution with u 280 and σ = = 77. The parts arrive five months after an order is placed. If a stockout occurs, the demand is backlogged, not lost, and costs the production facility $12.80 per part backordered. 1. Find the optimal order quantity and reorder level to minimize average annual cost of holding, setup, and stockout. 2. What is the average annual cost of holding, setup, and stockouts, when the Q,R-policy in part 1 is used?
- Dan's Independent Book Store is trying to decide how many copies of a book to purchase at the start of the upcoming selling season. The book retails at $28.00. The publisher sells the book to Dan at $20.00. Dan will dispose of all of the unsold copies of the book at 50% off the retail price, at the end of the season. Dan estimates that demand for this book during the season is normal with a mean of 1000 and a standard deviation of 250. The publisher is thinking of offering the following scheme to Dan. At the end of the season, they will buy back unsold copies at a pre-determined price of $17.00. However, Dan would have to bear the costs of shipping unsold copies back to the publisher at $1.00 per copy. What is the quantity that Dan should order, to maximize his expected profits?Gyona purchases meat from the local supermarket at $5 per kilo and sell it at $9 per kilo. any unsold meat is sold to the Chinese restaurant near by at $2 per kilo. Gyona is sure that the demand follows a normal distribution with a mean of 100 kilograms and a standard deviation of 15 kilograms. - How many kilograms should she order each day?A customer buys 1 ABC Jan 35 put for a premium of $3 and simultaneously buys 100 shares of ABC stock for $35 per share. The customer will break even when the stock is selling for what price per share at expiration?