Practical Management Science
6th Edition
ISBN: 9781337406659
Author: WINSTON, Wayne L.
Publisher: Cengage,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 6.5, Problem 30P
Summary Introduction
To determine: The optimal solution using solver.
Introduction: The variation between the present value of the
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
A retailer has 7 stores in different cities in northern Ontario. The weekly demand for each store follows the normal distribution with a mean value of 60 and a standard deviation of 10. The retailer is planning to use a single centralized store in northern Ontario and they think the demand in the single store will be equal to the sum of the demand in all 7 cities. It takes 3 weeks for the supplier to send the products to the retailer. Calculate the safety stock for the centralized and decentralized cases if the correlation of demands between different cities is 0.3. Assume the planned customer service level is 98%.
Please post answer in excel showing formula and answer
99. A plastics manufacturer has 1,200 boxes of transparent wrap in stock at one factory
and another 1,000 boxes at its second factory. The manufacturer has orders for this
product from three different retailers, in quantities of 1,000, 700, and 500 boxes,
respectively. The unit shipping costs (in cents per box) from the factories to the retailers
are as indicated in the table below. Apply the Vogel's Approximation Method to
determine the initial starting solution.
Retailer 1
Retailer 3
Factory 1
Factory 2
Retailer 2
13
13
14
11
13
12
A. Z = $276
B. Z = $267
C. Z = $627
D. Z = $ 762
"A chipboard company has 4 factories, Mazatenango, Retalhuleu, Escuintla and Xela. It has four
major distributors of its chipboards, which are distributor 1, distributor 2, distributor 3 and
distributor 4:
Mazatenango
Retalhuleu
Escuintla
Xela
DEMAND
D1
10
16
19
12
350
D2
12
10
18
15
300
D3
15
22
10
10
250
IN THIS CASE USE VOGEL'S APPROXIMATION METHOD
D4
20
10
12
20
200
SUPPLY
150
150
350
250
1) Formulate the problem as a transportation problem, solve it with the three methods and find
the optimal cost for this problem. methods and find the optimal cost for this transportation
problem.
(remember to go through all possible routes).
Chapter 6 Solutions
Practical Management Science
Ch. 6.3 - Prob. 1PCh. 6.3 - Prob. 2PCh. 6.3 - Solve Problem 1 with the extra assumption that the...Ch. 6.3 - Prob. 4PCh. 6.3 - Prob. 5PCh. 6.3 - Prob. 6PCh. 6.3 - Prob. 7PCh. 6.3 - Prob. 8PCh. 6.3 - Prob. 9PCh. 6.3 - Prob. 10P
Ch. 6.4 - Prob. 11PCh. 6.4 - Prob. 12PCh. 6.4 - Prob. 13PCh. 6.4 - Prob. 14PCh. 6.4 - Prob. 15PCh. 6.4 - Prob. 16PCh. 6.4 - Prob. 17PCh. 6.4 - Prob. 18PCh. 6.4 - Prob. 19PCh. 6.4 - Prob. 20PCh. 6.4 - Prob. 21PCh. 6.4 - Prob. 22PCh. 6.4 - Prob. 23PCh. 6.5 - Prob. 24PCh. 6.5 - Prob. 25PCh. 6.5 - Prob. 26PCh. 6.5 - Prob. 28PCh. 6.5 - Prob. 29PCh. 6.5 - Prob. 30PCh. 6.5 - In the optimal solution to the Green Grass...Ch. 6.5 - Prob. 32PCh. 6.5 - Prob. 33PCh. 6.5 - Prob. 34PCh. 6.5 - Prob. 35PCh. 6.6 - Prob. 36PCh. 6.6 - Prob. 37PCh. 6.6 - Prob. 38PCh. 6 - Prob. 39PCh. 6 - Prob. 40PCh. 6 - Prob. 41PCh. 6 - Prob. 42PCh. 6 - Prob. 43PCh. 6 - Prob. 44PCh. 6 - Prob. 45PCh. 6 - Prob. 46PCh. 6 - Prob. 47PCh. 6 - Prob. 48PCh. 6 - Prob. 49PCh. 6 - Prob. 50PCh. 6 - Prob. 51PCh. 6 - Prob. 52PCh. 6 - Prob. 53PCh. 6 - Prob. 54PCh. 6 - Prob. 55PCh. 6 - Prob. 56PCh. 6 - Prob. 57PCh. 6 - Prob. 58PCh. 6 - Prob. 59PCh. 6 - Prob. 60PCh. 6 - Prob. 61PCh. 6 - Prob. 62PCh. 6 - Prob. 63PCh. 6 - Prob. 64PCh. 6 - Prob. 65PCh. 6 - Prob. 66PCh. 6 - Prob. 67PCh. 6 - Prob. 68PCh. 6 - Prob. 69PCh. 6 - Prob. 70PCh. 6 - Prob. 71PCh. 6 - Prob. 72PCh. 6 - Prob. 73PCh. 6 - Prob. 74PCh. 6 - Prob. 75PCh. 6 - Prob. 76PCh. 6 - Prob. 77PCh. 6 - Prob. 78PCh. 6 - Prob. 79PCh. 6 - Prob. 80PCh. 6 - Prob. 81PCh. 6 - Prob. 82PCh. 6 - Prob. 83PCh. 6 - Prob. 84PCh. 6 - Prob. 85PCh. 6 - Prob. 86PCh. 6 - Prob. 87PCh. 6 - Prob. 88PCh. 6 - Prob. 89PCh. 6 - Prob. 90PCh. 6 - Prob. 91PCh. 6 - Prob. 92PCh. 6 - This problem is based on Motorolas online method...Ch. 6 - Prob. 94PCh. 6 - Prob. 95PCh. 6 - Prob. 96PCh. 6 - Prob. 97PCh. 6 - Prob. 98PCh. 6 - Prob. 99PCh. 6 - Prob. 100PCh. 6 - Prob. 1CCh. 6 - Prob. 2CCh. 6 - Prob. 3.1CCh. 6 - Prob. 3.2CCh. 6 - Prob. 3.3CCh. 6 - Prob. 3.4CCh. 6 - Prob. 3.5CCh. 6 - Prob. 3.6C
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, operations-management and related others by exploring similar questions and additional content below.Similar questions
- 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?arrow_forwardIn 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.)arrow_forwardDr. Thompson makes three bean mixes for coffee shops located in the Austin. The three mixes, referred to as the Tameka Mix, the Christian Mix, and the Tamia Mix, are made by mixing different percentages of five types of beans. In preparation for the fall season, Dr. Thompson just purchased the following shipments of beans at the prices shown: Type of Beans Shipment Amount in pounds Cost Per Shipment in dollars Arabica 6000 7500 Robusta 7500 7125 Liberica 7500 6750 Excelsa 6000 7200 Juno 7500 7875 The Tameka Mix consists of 15% Arabica, 25% Robusta beans, 25% Liberica, 10% Excelsa, and 25% Juno. The Christian Mix consists of 20% of each type of beans, and the Tamia Mix consists of 25% Arabica, 15% Robusta beans, 15% Liberica, 25% Excelsa, and 20% Juno. Dr. Thompson analyzed the cost to get the beans ready and determined that the profit contribution per pound is $1.65 for the Tameka Mix, $2.00 for the Christian Mix, and $2.25 for the…arrow_forward
- Dr. Thompson makes three bean mixes for coffee shops located in the Austin. The three mixes, referred to as the Tameka Mix, the Christian Mix, and the Tamia Mix, are made by mixing different percentages of five types of beans. In preparation for the fall season, Dr. Thompson just purchased the following shipments of beans at the prices shown: Type of Beans Shipment Amount in pounds Cost Per Shipment in dollars Arabica 6000 7500 Robusta 7500 7125 Liberica 7500 6750 Excelsa 6000 7200 Juno 7500 7875 The Tameka Mix consists of 15% Arabica, 25% Robusta beans, 25% Liberica, 10% Excelsa, and 25% Juno. The Christian Mix consists of 20% of each type of beans, and the Tamia Mix consists of 25% Arabica, 15% Robusta beans, 15% Liberica, 25% Excelsa, and 20% Juno. Dr. Thompson analyzed the cost to get the beans ready and determined that the profit contribution per pound is $1.65 for the Tameka Mix, $2.00 for the Christian Mix, and $2.25 for the…arrow_forwardSolve this problem using the simplex method. Super Speedy Bike Company makes 3-speed and 10-speed bicycles at two different factories. Factory X produces 16 3-speed and 20 10-speed bikes in one day while Factory Y produces 12 3-speed and 35 10-speed bikes daily. It costs $1000/day to operate Factory X and $800/day to operate Factory Y. An order for 96 3-speed bikes and 140 10-speed bikes has just arrived. How many days should each factory be operated in order to fill this order at a minimum cost? (Give your answers correct to two decimal places.) Factory X should be operated days. Factory Y should be operated days. What is the minimum cost? (Give your answer correct to the nearest dollar.) 2$arrow_forwardA freshfood company in Oman is specialized in apples distribution in Oman. Annual sales forecast is 5760 boxes of apple. It costs OR 10 to make and receive an order and holding cost is OR 3.5 per box per year. The prices depend on quantities purchased such that the order quantities (in boxes) from 1 to 199 at a unit price RO 5; quantity 200 to 499 at a unit price 4.5 RO; and quantity 500 and more at a per unit price of 4 RO. If the discount option is considered, then what is the total annual cost of the best option including purchasing cost? O a. 21619 O b. 24031 O c. 29813 O d. 23548 e. None is correctarrow_forward
- Jays Office Supplies sells Printers, which it orders from Brands mart Inc in . Because of shipping and handling costs, each order must be for 5 printers. Because of the time it takes to receive an order, the company places an order every time the present stock drops to 5 Printers. It costs $50 to place an order. It costs the company $500 in lost sales when a customer asks for a Printer and the warehouse is out of stock. It costs $100 to keep each Printer stored in the warehouse. If a customer cannot purchase a Printer when it is requested, the customer will not wait until one comes in but will go to a competitor. The following probability distribution for demand for Printer has been determined: Questions 1.Simulate CWD 's ordering and sales policy for 20 weeks 2. Compute the average cost of the policy PLEASE NOTE I SENT THIS IN ALREADY BUT I REALIZED I LEFT OUT SOME VITAL INFORMATION AND AGAIN THIS IS NOT FROM ANOTHER SITE.arrow_forwardAn automotive warehouse stocks a variety of parts that are sold at neighborhoodstores. One particular part, a popular brand of oil filter, is purchased by thewarehouse for $1.50 each. It is estimated that the cost of order processing andreceipt is $100 per order. The company uses an inventory carrying charge based on warehouse for $1.50 each. It is estimated that the cost of order processing andreceipt is $100 per order. The company uses an inventory carrying charge based ona 28 percent annual interest rate.The monthly demand for the filter follows a normal distribution with mean280 and standard deviation 77. Order lead time is assumed to be five months.Assume that if a filter is demanded when the warehouse is out of stock, then thedemand is back-ordered, and the cost assessed for each back-ordered demand is$12.80. Determine the following quantities:a. The optimal values of the order quantity and the reorder level.b. The average annual cost of holding, setup, and stock-out associated…arrow_forwardContois Carpets is a small manufacturer of carpeting for home and office installations. Production capacity, demand, production cost per square yard (in dollars), and inventory holding cost per square yard (in dollars) for the next four quarters are shown in the network diagram below. Min s.t. Beginning Inventory Flow x26 Quarter 1 Demand Flow X37 X48 50 Quarter 1 Production Flow Quarter 2 Demand Flow X59 600 Quarter 2 Production Flow Quarter 3 Demand Flow X67 300 Quarter 3 Production Flow Quarter 4 Demand Flow X78 500 Quarter 4 Production Flow X89 X910 400 = $ Production Capacities Develop a linear programming model to minimize cost and meet demand exactly. (Let Xij which flows from node i to node j.) = $ = $ = $ = $ Ending Inventory Flow ≥ 0 for all i, j. Solve the linear program to find the optimal solution. X16 = $ = $ Production Nodes = $ = $ 2 Quarter 1 Production 3 Quarter 2 Production 4 Quarter 3 Production 1 Beginning Inventory 5 Quarter 4 Production Production Cost Per Square…arrow_forward
- A quarry uses five types of rocks to fulfill four orders. The gypsum content, availability of each type of rock, and the production cost per pound for each rock, as well as the size of each order and the minimum and maximum gypsum percentage in each order, are given below.Rock type-------Cost-------% gypsum-------Amount Available1-------------------$1.00-----------2.0%-----------5002-------------------$5.00-----------5.0%-----------6003-------------------$5.50-----------4.5%-----------7004-------------------$2.00-----------3.0%-----------4005-------------------$1.20-----------6.0%-----------450 Order No.--------------------1----------2----------3---------4Order Size------------------500------600------500------350Min % gypsum-----------3.5%-----3.8%-----4.0%-----3.6%Max % gypsum----------4.4%-----4.6%-----4.7%-----4.8%What is the cheapest way to fill the orders?arrow_forwardIn the spreadsheet model shown below, an analyst makes the following data entries. Cell B3 B4 B5 B6 Value 110,000 83,000 82,000 92,000 A 1 Revenue 2 Month Change (%) n/a Revenue 3 January 4 February 5 March =(B4-B3)/B3 =(B5-B4)/B4 6 April =(B6-B5)/B5 What values will be shown in the following cells? (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) Cell Value C4 C5 % C6 %arrow_forwardI need a detailed assistance to solve the following problem in: Operations Analysis. 1) A trucking company maintains an inventory of trucks that varies monthly. The ending inventory of trucks during the first 8 months of the year (January to August) were 26, 38, 31, 22, 13, 9, 16, 5, respectively. The monthly inventory holding cost is proportional to the monthly ending inventory. Trucks incur the following costs Each truck costs the company $8,000. Interest rate on the cost of capital is 20% per annum (annually). Each truck incurs a storage cost of 3% per annum of the truck cost. Each truck incurs a liability insurance cost of 2% per annum of the truck cost. The carrying cost is the total of all costs (capital, storage and insurance.) What is the monthly carrying cost per truck? What is the total carrying cost incurred by the company over the 8 months (January to August)? What is the estimated average annual carrying cost?arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Practical Management ScienceOperations ManagementISBN:9781337406659Author:WINSTON, Wayne L.Publisher:Cengage,
Practical Management Science
Operations Management
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:Cengage,