Operations Management: Sustainability and Supply Chain Management, Student Value Edition (12th Edition)
12th Edition
ISBN: 9780134163512
Author: Jay Heizer, Barry Render, Chuck Munson
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter B, Problem 12DQ
Where a constraint crosses the vertical or horizontal axis, the quantity is fairly obvious. How does one go about finding the quantity coordinates where two constraints cross, not at an axis?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
Please do not give solution in image formate thanku.
3. Kings Department Store has 625 rubies, 800 diamonds, and 700 emeralds from which they will make bracelets and necklaces that they have advertised in their Christmas brochure. Each of the rubies is approximately the same size and shape as the diamonds and the emeralds. Kings will net a profit of $250 on each bracelet, which is made with 2 rubies, 3 diamonds, and 4 emeralds, and $500 on each necklace, which includes 5 rubies, 7 diamonds, and 3 emeralds. Formulate as an LP problem to maximize profit?
The demand for a certain product is given by p + 4q = 316, and the supply for this product is given by p-6q = 26, where p is the price and q is the number of products. Complete parts ( a) and (b) below.
a. Find the price at which the quantity demanded equals the quantity supplied.
An oil company ships to three different customers. Customer A requires 60 tons per year, Customer B requires 24 tons, and Customer C requires 8 tons. The product costs $10,000 per ton, and holding costs are estimated at 25%. Each truck costs $800 to send as a fixed cost and incurs an additional $250 charge for each stop it makes. Each truck can haul 12 tons of the product. What is the optimal delivery policy if the oil company ships to each customer individually? What is the optimal delivery policy if the oil company aggregates all shipments to the customers?
Chapter B Solutions
Operations Management: Sustainability and Supply Chain Management, Student Value Edition (12th Edition)
Ch. B - Prob. 1DQCh. B - Prob. 2DQCh. B - Prob. 3DQCh. B - Prob. 4DQCh. B - Prob. 5DQCh. B - Prob. 6DQCh. B - Prob. 7DQCh. B - Prob. 8DQCh. B - Prob. 9DQCh. B - Prob. 10DQ
Ch. B - Prob. 11DQCh. B - Where a constraint crosses the vertical or...Ch. B - Prob. 13DQCh. B - The LP relationships that follow were formulated...Ch. B - Prob. 2PCh. B - Prob. 3PCh. B - B.4. Consider the following linear programming...Ch. B - Prob. 5PCh. B - Prob. 6PCh. B - Green Vehicle Inc. manufactures electric cars and...Ch. B - Prob. 8PCh. B - Prob. 9PCh. B - Prob. 10PCh. B - Prob. 11PCh. B - Prob. 12PCh. B - Prob. 13PCh. B - Prob. 14PCh. B - Prob. 22PCh. B - A fertilizer manufacturer has to fulfill supply...Ch. B - Prob. 25PCh. B - Prob. 26PCh. B - Prob. 27PCh. B - Prob. 28PCh. B - Prob. 29PCh. B - Prob. 30PCh. B - How many corner points are there in the feasible...Ch. B - Prob. 34PCh. B - Prob. 35PCh. B - Prob. 36PCh. B - Prob. 37PCh. B - Prob. 38PCh. B - Bowman Builders manufactures steel storage sheds...Ch. B - Prob. 40PCh. B - Prob. 41PCh. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Quain Lawn and Garden, Inc Bill and Jeanne Quain...Ch. B - Prob. 1.1VCCh. B - Prob. 1.2VCCh. B - Prob. 1.3VCCh. B - Prob. 1.4VC
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
- A company manufactures two products. If it chargesprice pi for product i, it can sell qi units of product i,where q1 = 60 - 3p1 + p2 and q2 = 80 - 2p2 + p1. Itcosts $5 to produce a unit of product 1 and $12 to produce a unit of product 2. How many units of eachproduct should the company produce, and what pricesshould it charge, to maximize its profit? Use spreadsheet modelling in Excelarrow_forwardThe Sanders Garden Shop mixes two types of grass seed into a blend. Each type of grass has been rated (per pound) according to its shade tolerance, ability to stand up to traffic, and drought resistance, as shown in the table. Type A seed costs $1 and Type B seed costs $2. If the blend needs to score at least 300 points for shade tolerance, 400 points for traffic resistance, and 750 points for drought resistance, how many pounds of each seed should be in the blend? Type A Type B Shade Tolerance 1 1 Traffic Resistance 2 1 Drought Resistance 2 5 Formulate a LP Model for this problem.arrow_forwardA bakery that orders cartons of bread mix has used an EOQ model to determine that an order quantity of 90 cartons per order is economically optimal. The bakery needs 150 cartons per month to meet demand. It takes L days for the bakery’s supplier to deliver an order. When should the bakery place its orders when L = 2, when L = 5, and when L = 10? (Assume that the bakery and its supplier both work seven-day weeks and that there are 30 days per month.)arrow_forward
- Flanger is an industrial distributor that sources from hundreds of suppliers. The two modes of transportation available for inbound shipping are LTL (less than truck- load) and TL (truckload). LTL shipping costs $1 per unit, whereas TL shipping costs $500 per truck. Each truck can carry up to 1,000 units. Flanger wants a rule assigning products to shipping mode (TL or LTL) based on annual demand. Each unit costs $50, and Flanger uses a holding cost of 22 percent. Flanger incurs a fixed cost of $150 for each order placed with a supplier. a. Determine a threshold for annual demand above which TL is preferred and below which LTL is preferred. b. How does the threshold change [relative to part (a)] if unit cost is $150 (instead of $50 ) with all other data unchanged? Which mode becomes preferable as unit cost grows? c. How does the threshold change [relative to part (a)] if the LTL cost comes down to $0.8 per unit (instead of $1 per unit)?arrow_forwardDoc Nix Productions sells specialty T-Shirts that are sold at a single basketball game each. Doc Nix is trying to decide how many to buy for an upcoming game. During the game itself, which lasts one evening, Doc can sell T-Shirts for $10 apiece. However, when the game ends unsold T-shirts have no value. Due to a licensing agreement, Doc needs to make sure that leftover shirts are destroyed using a method that ends up costing $0.50 for each unsold T-Shirt. It costs Doc $6.50 to buy a specialty T-Shirt from the supplier. The supplier he uses has a cost per shirt of $2. Doc estimates that demand is distributed as shown below. Demand 300 350 400 450 500 550 Probability 0.05 0.15 0.20 0.10 0.30 0.20 How many specialty T-Shirts should Doc Nix buy from the supplier to maximize his profits? What is his expected profit? What is the total supply chain profit?arrow_forwardAndria 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?arrow_forward
- Suppose that a firm can produce a part it uses for $520 per unit, with a fixed cost of $25,000. The company has been offered a contract from a supplier that allows it to purchase the part at a cost of $544 per unit, which includes transportation. The key outputs in the model are the difference in these costs and the decision that results in the lower cost. Assume that the production volume is uncertain. Suppose the manufacturer has enough data and information to estimate that the production volume will be normally distributed with a mean of 1,000 and a standard deviation of 85. Use a 100-trial Monte Carlo simulation to find the average cost difference and percent of trials that result in manufacturing or outsourcing as the best decision. Please include table showing both the cost difference and decision for each trial. Please include the Excel worksheet with all the details with your answer.arrow_forwardModels of inventory systems frequently consider the relationships among a beginning inventory,a production quantity, a demand or sales, and an ending inventory. For a givenproduction period j, letsj-1 = ending inventory from the previous period (beginning inventory for period j)xj = production quantity in period jdj = demand in period jsj = ending inventory for period ja. Write the mathematical relationship or model that shows ending inventory as a functionof beginning inventory, production, and demand.b. What constraint should be added if production capacity for period j is given by Cj?c. What constraint should be added if inventory requirements for period j mandate anending inventory of at least Ij?arrow_forwardYour company assembles five different models of a motor scooter that is sold in specialty stores in the United States. The company uses the same engine for all five models. You have been given the assignment of choosing a supplier for these engines for the coming year. Due to the size of your warehouse and other administrative restrictions, you must order the engines in lot sizes of 1,200 units. Because of the unique characteristics of the engine, special tooling is needed during the manufacturing process for which you agree to reimburse the supplier. Your assistant has obtained quotes from two reliable engine suppliers, and you need to decide which to use, the following data have been collected. Requirements (annual forecast) 14,400 units Weight per engine 25 pounds Order processing cost $ 145 per order Inventory carry cost 20% of the avg. Value of inventory per year…arrow_forward
- Assume the demand for a company’s 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 soldfor $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.arrow_forwardA 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_forwardConsider a toy retailer with warehouses in St. Louis and Kansas City, Missouri. The warehouses stock an identical popular toy delivered to stores in the two cities. Assume a warehouse serves only stores in its city. Weekly demand for St. Louis is normally distributed with mean 2,000, and standard deviation 400 (that is N(μ = 2,000, σ = 400)). Weekly demand for KansasCity is distributed N(μ = 2,000, σ = 300). We assume that the two cities are far enough apart so that demand in the two cities is independent.The following parameters are seen by both warehouses:Replenishment lead time in weeks ~ N(μ = 2, σ = 0.1);Fixed shipping cost of replenishment: $500;Cost per toy: $10; andHolding cost per toy 20 percent of toy’s value per year.How many toys should each location order at a time and when should they reorder if they want a 99 percent cycle service level? What if they pool the two locations?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,
Single Exponential Smoothing & Weighted Moving Average Time Series Forecasting; Author: Matt Macarty;https://www.youtube.com/watch?v=IjETktmL4Kg;License: Standard YouTube License, CC-BY
Introduction to Forecasting - with Examples; Author: Dr. Bharatendra Rai;https://www.youtube.com/watch?v=98K7AG32qv8;License: Standard Youtube License