Please do not give solution in image format thanku Quantity to Achieve In-stock Probability: Goop Inc. needs to order a raw material to make a specialpolymer. The demand for the polymer is forecasted to be Normally distributed with a mean of 250gallons and a standard deviation of 80 gallons. Goop sells the polymer for $25 per gallon. Goop'spurchases raw material for $10 per gallon and Goop must spend $5 per gallon to dispose of allunused raw material due to government regulations. (Assume one gallon of raw material yields onegallon of polymer with no extra cost.) If demand is more than Goop can make, then Goop sells onlywhat they made and the rest of the demand is lost.Suppose Goop wants to ensure that there is a 80% probability that they will be able to satisfy thecustomer's entire demand. How many gallons of the raw material should they purchase?O Less than 150At least 150, but less than 200At least 200, but less than 250O At least 250, but less than 300At least 300, but less than 350At least 350, but less than 400At least 400, but less than 450At least 450

Also called single-period order quantity model /newsboy problem) Order is made for use in single…

Answered: Quantity to Achieve In-stock…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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A lawn and garden shop that is open for business seven days a week orders bags of grass seed every OTHER Monday. Lead time for seed orders is 5 days. On Monday, at ordering time, a clerk found 112 bags of seed in stock, and so he ordered 198 bags. Daily demand for grass seed is normally distributed with a mean of 15 bags and a standard deviation of four bags.The manager would like to know what the probability is that a grass seed stockout will occur before the next order arrives. Please show a correct solution and answer. Thank you.
Palin’s Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level). Annual demand 2,750 mufflers Ordering cost $ 35 per order Standard deviation of daily demand 6 mufflers per working day Service probability 76 % Item cost $ 28.00 per muffler Lead time 4 working days Annual holding cost 22 % of item value Working days 275 per year Review period 21 working days a. What is the optimal target level (order-up-to level)? If the service probability requirement is 93 percent, the optimal target level will: Increase Decrease Stay the same
The Mediterranean Restaurant stocks a red Chilean tablewine it purchases from a wine merchant in a nearby city.The daily demand for the wine at the restaurant is normally distributed, with a mean of 18 bottles and a standard deviation of 4 bottles. The wine merchant sends arepresentative to check the restaurant’s wine cellar every30 days, and during a recent visit there were 25 bottles instock. The lead time to receive an order is two days. Therestaurant manager has requested an order size that willenable him to limit the probability of a stockout to 5%.
Nationwide Auto Parts uses a periodic review inventory control system for one of its stock items. The review interval is 6 weeks, and the lead time for receiving the materials ordered from its wholesaler is 3 weeks. Weekly demand is normally distributed, with a mean of 100 units and a standard deviation of 20 units.a. What is the average and the standard deviation of demand during the protection interval?b. What should be the target inventory level if the firm desires 97.5 percent stockout protection?c. If 350 units were in stock at the time of a periodic review, how many units should be ordered?
Green Grass Industries Limited (GGIL) has used a fixed-time period inventory system that involved taking a complete inventory count of all items each month. However, increasing labor costs, are forcing GGIL, to examine alternative ways to reduce the amount of labor involved in inventory stockrooms, yet without increasing other costs, such a shortage costs. Table 10 is a random sample of 20 GGIL's items. Table 10. Annual Usage by Value of a sample of GGIL's Inventory Item Number Annual Usage ($) Item Number Annual Usage ($) 1 10,600 11 2,750 2 14,000 12 1,400 3 4,000 13 3,200 4 16,000 14 2,500 5 8,100 15 110,000 1,800 16 14,800 7 84,000 17 9,500 8. 890 18 1,700 9 940 19 3,700 10 94,000 20 12,500 a) What would you recommend GGIL to do to cut back its labor cost? (Illustrate using an ABC plan). b) Item 18 is critical to continued operations at GGIL. i. How would you recommend it be classified? ii. Give the reason(s) for your answer.
KVS Pharmacy fills prescriptions for a popular children’santibiotic, Amoxycilin. The daily demand for Amoxycilinis normally distributed with a mean of 200 ounces and a standard deviation of 80 ounces. The vendor for the phar-maceutical firm that supplies the drug calls the drug-store’s pharmacist every 30 days and checks the inventory of Amoxycilin. During a call the druggist indicated thestore had 60 ounces of the antibiotic in stock. The leadtime to receive an order is four days. Determine the order size that will enable the drugstore to maintain a 99% ser-vice level.
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.
Sweet cider is delivered weekly to Cindy’s Cider Bar. Demand varies uniformly between 300liters and 500 liters per week. Cindy pays 20 cents per liter for the cider and charges 80 centsper liter for it. Unsold cider has no salvage value and cannot be carried over into the next weekdue to spoilage. Find the optimal stocking level and its stockout risk for that quantity
Frety Limited sells therapeutic foam rollers for $55, and expects the demand for this product to be constant at 142 units per week. The foam rollers are ordered from a supplier at a price of $39, and each order takes three weeks to supply the product from the date that Frety Limited places an order. The business holds 130 units of the product as a safety buffer at all times. The cost of capital is 10%. At what level of inventory (in units) should the business reorder the foam rollers?
Weiss’s paint store keeps an inventory of white latex paint product in the gallon size. The manager reviews the stock level every 4 months. Demand is observed to be normally distributed with a monthly mean of 28 gallons and a standard deviation of 8. Re-supply lead time is 2.5 months. The store manager targets a 98 percent in-stock probability during the lead time. • What is the target inventory position?
Furnco sells secretarial chairs. Annual demand isnormally distributed, with mean of 1,040 chairs and standarddeviation of 50.99 chairs. Furnco orders its chairs from itsflagship store. It costs $100 to place an order, and the leadtime is two weeks. Furnco estimates that each stockoutcauses a loss of $50 in future goodwill. Furnco pays $60 foreach chair and sells it for $100. The annual cost of holdinga chair in inventory is 30% of its purchase cost.a Assuming that all demand is backlogged, what arethe reorder point and the safety stock level? b Assuming that all stockouts result in lost sales, de-termine the optimal reorder point and the safety stock level.
Palin's Muffler Shop has one standard muffler that fits a large variety of cars. The shop wishes to establish a periodic review system to manage inventory of this standard muffler. Use the information in the following table to determine the optimal inventory target level (or order-up-to level). $ 35 Ordering cost Service probability Lead time per order 2,970 6. mufflers Annual demand Standard deviation of daily demand mufflers per working day 89 % working days per muffler * of item value working days $21.00 4 Item cost 36 Working days 270 per year Annual holding cost Review period 22 a. What is the optimal target level (order-up-to level)? (Use Excel's NORMSINV) function to find the correct critical value for the given a-level. Do not round intermediate calculations. Round "z" value to 2 decimal places and final answer to the nearest whole number.) Optimal target level b. If the service probability requirement is 90 percent, the optimal target level will: O Increase O Decrease O Stay…

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