please answer in details within 30 minutes. Newstar Foods is a company manufacturing cereal.It has an annual demand for two flavors: Strawberrycereal and Blueberry cereal of 592,600 and 608,030boxes respectively. Each box contains 18 ounces ofcereal, and exactly half of the weight of the cerealcomes from its fruit (strawberry or blueberry), andboth fruits are imported from Japan. Newstar Foodshas computed its ordering cost as US$60 per order.They pay their Japanese supplier 12.5 US cents perpound (there are 16 ounces in a pound) ofstrawberry and 10 cents per pound of blueberry.The annual holding cost of either fruit is 20% of thevalue of the fruit.The optimum order quantity for blueberry in poundsis:Group of answer choices50,10053,24530,00045,30042,250

EOQ stands for economic order quantity. It is a company's optimal order quantity that undervalues…

Answered: The optimum order quantity for…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 33P: Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand...

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Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.
Lemingtons is trying to determine how many Jean Hudson dresses to order for the spring season. Demand for the dresses is assumed to follow a normal distribution with mean 400 and standard deviation 100. The contract between Jean Hudson and Lemingtons works as follows. At the beginning of the season, Lemingtons reserves x units of capacity. Lemingtons must take delivery for at least 0.8x dresses and can, if desired, take delivery on up to x dresses. Each dress sells for 160 and Hudson charges 50 per dress. If Lemingtons does not take delivery on all x dresses, it owes Hudson a 5 penalty for each unit of reserved capacity that is unused. For example, if Lemingtons orders 450 dresses and demand is for 400 dresses, Lemingtons will receive 400 dresses and owe Jean 400(50) + 50(5). How many units of capacity should Lemingtons reserve to maximize its expected profit?
In Problem 12 of the previous section, suppose that the demand for cars is normally distributed with mean 100 and standard deviation 15. Use @RISK to determine the best order quantityin this case, the one with the largest mean profit. Using the statistics and/or graphs from @RISK, discuss whether this order quantity would be considered best by the car dealer. (The point is that a decision maker can use more than just mean profit in making a decision.)
James Beerd bakes cheesecakes and Black Forest cakes. During any month, he can bake at most 65 cakes. The costs per cake and the demands for cakes, which must be met on time, are listed in Table 33. It costs 500 to hold a cheesecake, and 40¢ to hold a Black Forest cake, in inventory for a month. Formulate an LP to minimize the total cost of meeting the next three months’ demands. table 33 Month 1 Month 2 Month 3 Item Demand Cost/Cake ($) Demand Cost/Cake ($) Demand Cost/Cake ($) Cheesecake 40 3.00 30 3.40 20 3.80 Black Forest 20 2.50 30 2.80 10 3.40
A confectioner buys plastic boxes in bulk and uses them to pack chocolates. The annual requirement of these boxes is 1,200, and each box costs $30. The ordering and carrying costs are $10 per order and 20%, respectively. The supplier from whom the confectioner purchases these boxes sells them only in lots of 25, that is, you only purchase quantities in multiples of 25 boxes. If the supplier offers 2% discount on the cost of each box when the purchases are in quantities of 300 at a time, should the confectioner accept this offer?
ANT Infra orders two kinds of precast items: A and B for use in its projects from two different suppliers. The precasts are needed throughout the entire 52-week year. Precast A are used at a relatively constant rate and are ordered whenever the remaining quantity drops to the reorder level. While, precast B is ordered from a supplier who delivers by every three weeks. Data for both precast items are as follows:Item Precast A Precast BAnnual demand 10,000 5,000Holding cost (% of item cost)20% 20%Order cost $150 $25Lead time 4 weeks 1 weekSafety stock 55 units 5 unitsItem cost $10.00 $2.00 a. Employ Q system for precast A and calculate the EOQ, the reorder point, total inventory cost? b. Employ P system for precast B and estimate the target level inventory and total inventory cost?
The office manager for the Metro Life Insurance Companyorders letterhead stationery from an office products firm inboxes of 500 sheets. The company uses 6500 boxes peryear. Annual carrying costs are $3 per box, and orderingcosts are $28. The following discount price schedule isprovided by the office supply company: Order Quantity (boxes) Price per Box200–999 $161000–2999 143000–5999 136000 12 Determine the optimal order quantity and the total annualinventory cost.
Andria Mullins, financial manager of Webster Electronics, has been asked by the firm's CEO, Fred Weygandt, to evaluate the company's inventory control techniques and to lead a discussion of the subject with the senior executives. Andria plans to use as an example one of Webster's "big ticket" items, a customized computer microchip which the firm uses in its laptop computer. Each chip costs Webster P200, and in addition it must pay its supplier a P1,000 fee on each order. Further, the minimum order size is 250 units; Webster's annual usage forecast is 5,000 units; and the annual carrying cost of this item is estimated to be 20 percent of the average inventory unit cost. Andria plans to begin her session with the senior executives by reviewing some basic inventory concepts, after which she will apply the EOQ model to Webster's microchip inventory. Question: Why is inventory management vital to the financial health of most firms?
The maintenance department of a large hospital uses 816 cases of liquid cleaner annually. Ordering costs are $12, carrying costs are $4 per case per year, and the new price schedule indicates that orders of less than 50 cases will cost $20 per case, 50 to 79 cases will cost $18 per case, 80 to 99 cases will cost $17 per case, and larger orders will cost $16 per case. Determine the optimal order quantity and the total cost
The campus store at a large Midwestern university sells writing tablets to students, faculty, and staff. They sell more tablets near exam time. During a typical 10-week quarter,the pattern of sales is 2,280, 1,120, 360, 3,340, 1,230, 860, 675, 1,350, 4,600, 1,210.Thepads cost the store $1.20 each, and holding costs are based on a 30 percent annual interest rate. The cost of employee time, paperwork, and handling amounts to $30 per order.Assume 50 weeks per year.b. The bookstore manager has decided that it would be more economical if thedemand were the same each week. In order to even out the demand he limits weeklysales (to the annoyance of his clientele). Hence, assume that the total demand forthe 10-week quarter is still the same, but the sales are constant from week to week.Determine the optimal order policy in this case and compare the total holding andordering cost over the 10 weeks to the answer you obtained in part (a). (You may assume continuous time for the purposes of your…
The campus store at a large Midwestern university sells writing tablets to students, faculty, and staff. They sell more tablets near exam time. During a typical 10-week quarter,the pattern of sales is 2,280, 1,120, 360, 3,340, 1,230, 860, 675, 1,350, 4,600, 1,210.Thepads cost the store $1.20 each, and holding costs are based on a 30 percent annual interest rate. The cost of employee time, paperwork, and handling amounts to $30 per order.Assume 50 weeks per year.a. What is the optimal order policy during the 10-week quarter based on theSilver–Meal heuristic? Using this policy, what are the total holding and orderingcosts incurred over the 10-week period?
A Mercedes dealer must pay $20,000 for each carpurchased. The annual holding cost is estimated to be 25%of the dollar value of inventory. The dealer sells an averageof 500 cars per year. He believes that demand is backloggedbut estimates that if he is short one car for one year he willlose $20,000 worth of future profits. Each time the dealerplaces an order for cars, ordering cost amounts to $10,000.Determine the Mercedes dealer’s optimal ordering policy.What is the maximum shortage that will occur?

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The optimum order quantity for blueberry in pounds is: