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

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

Name: Chris usually sells 120 copies of newspaper each day and believe that
Uploaded: 2024-03-20T06:57:05.000Z
Channel: Bartleby
Description: 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) dete

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter11: Simulation Models

Section: Chapter Questions

Problem 47P

See similar textbooks

Similar questions

3. Cynthia Knott’s oyster bar buys fresh Louisiana oysters for $5 per pound and sells them for $12 per pound. Any oysters not sold that day are sold to her cousin, who has a nearby grocery store, for $1 per pound. Cynthia believes that demand follows the normal distribution, with a mean of 100 pounds and a standard deviation of 15 pounds. a) What is the cost of underestimating demand for each pound? b) What is the overage cost per pound? c) How many pounds of oyster should she order each day? d) What is the stockout risk for this order size?
1) Store A orders on a weekly basis. Its weekly demand is 50 units with a standard deviation of five units. The holding cost is $10 per unit per week and a 0.99 in-stock probability is desired. What is Store A’s average holding cost incurred each week for on-order inventory if lead time is five weeks? 2) Store A orders on a weekly basis. Its weekly demand is 50 units with a standard deviation of five units. The holding cost is $10 per unit per week and a 0.99 in-stock probability is desired. What is Store A’s average on-hand inventory if lead time is five weeks?
Annual demand for number 2 pencils at the campus store is normallydistributed with mean 1,000 and standard deviation 250. The store purchases the pencils for 6 cents each and sells them for 20 cents each. There is a two-month lead time from the initiation to the receipt of an order. The store accountant estimates that the cost in employee time for performing the necessary paperwork to initiate and receive an order is $20, and recommends a 22 percent annual interest rate for determining holding cost. The cost of a stock-out is the cost of lost profit plus an additional 20 cents per pencil, which represents the cost of loss of goodwill.a. Find the optimal value of the reorder point R assuming that the lot size used is the EOQ.b. Find the simultaneous optimal values of Q and R.c. Compare the average annual holding, setup, and stock-out costs of the policies determined in parts (a) and (b).d. What is the safety stock for this item at the optimal solution?
Annual demand for number 2 pencils at the campus store is normally distributed with mean 1,000 and standard deviation 250. The store purchases the pencils for 6 cents each and sells them for 20 cents each. There is a two-month lead time from the initiation to the receipt of an order. The store accountant estimates that the cost in employee time for performing the necessary paperwork to initiate and receive an order is $20, and recommends a 22 percent annual interest rate for determining holding cost. The cost of a stock-out is the cost of lost profit plus an additional 20 cents per pencil, which represents the cost of loss of goodwill. Consider the problem of satisfying the demand for number 2 pencils faced by the campus store mentioned above.a. Re-solve the problem, substituting a Type 1 service level criterion of 95 percent for the stock-out cost.b. Re-solve the problem, substituting a Type 2 service level criterion of 95 percent for the stock-out cost. Assume that Q is given by the…
Henrique Correa's bakery prepares all its cakesbetween 4 A.M. and 6 A.M. so they will be fresh when customersarrive. Day-old cakes are virtually always sold, but at a 50% discountofT the regular $ 10 price. The cost of baking a cake is $6, anddemand is estimated to be normally distributed, with a mean of25and a standard deviation of 4. What is the optimal stocking level?
A department store uses a (Q, R) policy to control its inventories. Sales of a pocket FM radioaverage 1.4 radios per week. The radio costs the store $50.00, and fixed costs of replenishmentamount to $20.00. Holding costs are based on a 20 percent annual interest charge, and thestore manager estimates a $12.50 cost of lost profit and loss of goodwill if the radio is demanded when out of stock. Reorder lead time is 2 weeks, and statistical studies have shownthat demand over the lead time is accurately described by a Poisson distribution. Find the optimallot sizes and reorder points for this item.
Lia ITZY has determined that the annual demand for number 6 screws is 100,000 screws. Lia, who works in her brother’s hardware store, is in charge of purchasing. She estimates that it costs $10 every time an order is placed. This cost includes her wages, the cost of the forms used in placing the order, and so on. Furthermore, she estimates that the cost of carrying one screw in inventory for a year is one-half of 1 cent. Assume that the demand is constant throughout the year. QUESTION: How many number 6 screws should Lia order at a time if she wishes to minimize total inventory cost?
Lia ITZY has determined that the annual demand for number 6 screws is 100,000 screws. Lia, who works in her brother’s hardware store, is in charge of purchasing. She estimates that it costs $10 every time an order is placed. This cost includes her wages, the cost of the forms used in placing the order, and so on. Furthermore, she estimates that the cost of carrying one screw in inventory for a year is one-half of 1 cent. Assume that the demand is constant throughout the year. QUESTION: How many orders per year would be placed? What would the annual ordering cost be?
The Fast Service Food Mart stocks frozen pizzas in a refrigerated display case. The average daily demand for the pizzas is normally distributed, with a mean of 8 pizzas and a standard deviation of 2.5 pizzas. A vendor for a packaged food distributor checks the market’s inventory of frozen foods every 10 days, and during a particular visit, there were no pizzas in stock. The lead time to receive an order is 3 days. Determine the order size for this order period that will result in a 99% service level. During the vendor’s following visit, there were 5 frozen pizzas in stock. What is the order size for the next order period?
DETERMINING SAFETY STOCK WITH PROBABILISTIC DEMAND AND CONSTANT LEAD TIMEDavid Rivera Optical has determined that its reorder point for eyeglass frames is 50 (d * L) units. Itscarrying cost per frame per year is $5, and stockout (or lost sale) cost is $40 per frame. The store hasexperienced the following probability distribution for inventory demand during the lead time (reorderperiod). The optimum number of orders per year is six. NUMBER OF UNITS PROBABILITY30 .240 .2ROP S 50 .360 .270 .11.0
The bookstore at Tech purchases jackets emblazoned withthe school name and logo from a vendor. The vendor sellsthe jackets to the store for $38 apiece. The cost to the bookstore for placing an order is $120, and the annual car-rying cost is 25% of the cost of a jacket. The bookstore manager estimates that 1700 jackets will be sold during theyear. The vendor has offered the bookstore the followingvolume discount schedule: Order Size Discount1–299 0%300–499 2%500–799 4%800 5% What is the bookstore’s optimal order quantity, given thisquantity discount information?
Weekly demand for printers at a store is normally distributed with a mean of 250 and a standard deviation of 96. The store manager continuously monitors inventory and currently orders 14400 printers each time the inventory drops to 1,000printers. The supply lead time is normally distributed with a mean of 2 weeks and a standard deviation of 1.5 weeks. a.How much safety inventory should this store carry if it wants to provide a CSL of 95%? b.How does the required safety inventory change as the standard deviation of lead time is reduced from 1.5 weeks to zero in intervals of 0.5 weeks? c.What fill rate does the store achieve?