A health and nutrition store stocks a multivitamin with an annual demand of 1,000 bottles has Coprobability distribution with μ = 25 and σ = 5.(a) What is the recommended order quantity? (Round your answer to the nearest integer.)=$23.50 and C = $9. The demand exhibits some variability such that the lead-time demand follows a normal(b) What are the reorder point and safety stock if the store desires at most a 4% probability of stock-out on any given order cycle? (Round your answers to the nearest integer.)reorder pointsafety stock(c) If a manager sets the reorder point at 30, what is the probability of a stock-out on any given order cycle? (Round your answer to four decimal places.)How many times would you expect a stock-out during the year if this reorder point were used? (Round your answer to the nearest integer.)

Co: Cost per orderCh: Holding cost per unit per yearμ: Average lead-time demandσ: Standard deviation…

Answered: A health and nutrition store stocks a…

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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AAA auto supply store sells snow tires which are ordered every Friday to meet next week's demand. The sales price for the most popular size is $50 per tire and its cost for AAA is $35. If too many tires are ordered AAA incurs an inventory carrying cost of $2 per tire. If AAA is out of stock, it forgoes the profits from missed sales. AAA has the option to order 100, 150, or 200 tires to meet next week's demand which can be either 100, 150, or 200 tires.Based on its historical demand distribution, assume that AAA Inc. has determined the followingprobability information: P(100) = 0.4, P(150) = 0.3, and P(200) = 0.3.a. Which alternative should be chosen based on the maximax criterion?b. Which alternative should be chosen based on the maximin criterion?c. Which alternative should be chosen based on the Lapalce criterion?d. Which alternative should be chosen based on criterion of realism with alpha = 0.7?e. Which alternative should be chosen based on the minimax regret criterion?f. Which…
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= = +E v No Spacing Normal Aav Replace Heading 1 Reuse Dictate Editor Files Paragraph Styles Editing Reuse Files Voice Editor Item SKU A3378 has a demand that is normally distributed during the lead time, with a mean of 360 units and standard deviation 9999 of 12. If Hinsdale cannot have stockouts in more than 10% of the time in any order, how much safety stock should be maintained and at what reorder point? 1. SKU F5402: daily demand is normally distributed with a mean of 16, standard deviation of 4, lead time is 4 days, and must operate at a 95% service level. 2. SKU B7319: daily demand is constant at 24 units per day, lead time is normally with a mean of 6 days and standard deviation of 2 days, and must operate at a 95% service level. 3. SKU F9004: daily demand is normally distributed with a mean of 21 units and a standard deviation of 3 days. The lead time is also normally distributed with a mean of 4 days, standard deviation of 2 days, and a service level of 90% is required. Text…
Cynthia Knott's oyster bar buys fresh Louisiana oystersfor $5 per pound and sells them for $9 per pound. Any oysters notsold that day are sold to her cousin, who has a nearby grocery store,for $2 per pound. Cynthia believes that demand fo llows the normaldistribution, with a mean of I 00 pounds and a standard deviation of15 pounds. How many pounds should she order each day?
You are the owner of Hotspices.com, an online retailer of hip, exotic, and hard-to-find spices. Consider your inventory of saffron, a spice (generally) worth more by weight than gold. You order saffron from an overseas supplier with a shipping lead time of four weeks and you order weekly. Average weekly demand is normally distributed with a mean of 60 ounces and a standard deviation of 20 ounces. What is its expected on-order inventory? (round up to the nearest integer)
A golf specialty wholesaler operates 50 weeks per year. Management is trying to determine an inventory policy for its 1-irons, which have the following characteristics:Demand 1D2 = 2,000 units/yearDemand is normally distributedStandard deviation of weekly demand = 3 unitsOrdering cost = $40/orderAnnual holding cost 1H2 = $5/unitsDesired cycle@service level = 90 percentLead time 1L2 = 4 weeksa. If the company uses a periodic review system, what should P and T be? Round P to the nearest week.b. If the company uses a continuous review system, what should R be?
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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 grocery store starts each day with a stock of 245 bananas in their produce section. Daily demand for bananas is normally distributed with a mean of 200 and a standard deviation of 30. What is the store's safety stock for bananas?
Please provide STEP BY STEP instructions using the SINGLE PERIOD MODEL. Cynthia Knott’s oyster bar buys fresh Louisiana oysters for $5 per pound and sells them for $9 per pound. Any oysters not sold that day are sold to her cousin, who has a nearby grocery store, for $2 per pound. Cynthia believes that demand follows the normal distribution, with a mean of 100 pounds and a standard deviation of 15 pounds. How many pounds should she order each day?
Suppose the monthly demand for automobile tires at a tire dealer is Normally distributed with a mean of 250 tires and a standard deviation of 50 tires. How many tires must the store have in inventory at the beginning of each month to meet the demand 95% of the time?
A coffee shop consumes 350 lbs of coffee per week at a steady rate. The coffee shop buys coffee from a supplier at the cost of $10 per lb, and ordering cost of $5 per order. The supplier takes 8 days to deliver an order (assume that 1 week = 7 days). What should be the reorder point (in pounds) for the coffee shop (i.e., at what level of inventory it should place an order with the supplier).

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