In Problem 38, if Kroeger discounts the price of its own brand of peas, the store will sell at least 1.5 times as much of the national brands as its own brand, but its profit margin on its own brand will be reduced to $0.23 per can. What effect will the discount have on the optimal solution?
> Ahmed wants to earn some extra pocket money while on his summer break, which is 5 weeks long. He plans to work for three days a week and enjoy his vacation the rest of the week. He has identified that car cleaning is a good business in his locality. He b
> Solve the linear programming model formulation in Problem 39 for Island Publishing Company graphically. a. Determine the sensitivity range for the advertising revenue generated by the real estate guide. b. Does the company spend all of its printing budge
> Solve the following model from Chapter 2 (Problem 9) using Excel: maximize Z = 3x1 + 6x2 (+, profit) subject to 3x1 + 2x2 … 18 (units, resource 1) x1 + x2 Ú 5 (units, resource 2) x1 … 4 (units, resource 3) x1, x2 Ú 0
> Island Publishing Company publishes two types of magazines on a monthly basis: a restaurant and entertainment guide and a real estate guide. The company distributes the magazines free to businesses, hotels, and stores on Hilton Head Island in South Carol
> The following linear programming model formulation is used for the production of four different products, with two different manufacturing processes and two different material requirements: a. Solve this problem by using the computer. b. Identify the sen
> Chemco Corporation produces a chemical mixture for a specific customer in 1,000-pound batches. The mixture contains three ingredients—zinc, mercury, and potassium. The mixture must conform to formula specifications that are supplied by the customer. The
> Transform the following linear programming model into standard form and solve by using the computer:
> Angie Xu has converted her garage into a greenhouse with long tables where she plans to grow flower plants from seeds to sell in the spring at the downtown market. She will plant two types of flowers from seeds—daisies and impatiens. A tray of impatiens
> Use the computer to solve Problem 56 from Chapter 2 to determine how many slices of pizza and hot dogs the fraternity must sell to break even on their project to open a food booth at the football stadium.
> Solve the linear programming model formulated in Problem 31 for Alexis Harrington by using the computer. a. If Alexis decided to invest some of her own savings along with the money from her inheritance, what return would she realize for each dollar of he
> Solve the linear programming model formulated in Problem 31 for Alexis Harrington graphically. a. How much would the return for cattle have to increase for Alexis to invest only in cattle? b. Should all of Alexis’s inheritance be invested according to th
> Kathleen Taylor is a high school student who has been investigating the possibility of mowing lawns for a summer job. She has a couple of friends she thinks she could hire on an hourly basis per job. The equipment, including two new lawnmowers and weed-e
> Alexis Harrington received an inheritance of $95,000, and she is considering two speculative investments—the purchase of land and the purchase of cattle. Each investment would be for 1 year. Under the present (normal) economic conditions, each dollar inv
> Solve the linear programming model formulated in Problem 29 for Xara Stores graphically and by using the computer. a. If the Chinese supplier were able to reduce its percentage of defective pairs of jeans from 7% to 5%, what would be the effect on the so
> Given the following Excel spreadsheet for a linear programming model and Solver Parameters window, indicate the formula for cell B13 and fill in the Solver Parameters window with the appropriate information to solve the problem:
> Xara Stores in the United States stocks a particular type of designer denim jeans that is manufactured in China and Brazil and imported to the Xara distribution center in the United States. It orders 500 pairs of jeans each month from its two suppliers.
> Solve the linear programming model formulation in Problem 27 for the farmer using computer. a. If the farmer has access to additional 50 acres of land, would it be beneficial for him to use the land? b. What is the farmer’s optimal solution if he limits
> A farmer plans to cultivate rice and wheat in his 200 acres of land. To get a decent profit, he has to use at least 150 acres of land. Per the environmental agency’s recommendation, for each acre of rice, there must be at least 1.3 acres of wheat. But he
> Solve the linear programming model formulation in Problem 24 for strawberry lassi using computer. a. Identify the sensitivity ranges for the objective function coefficient and explain what the upper and lower limits are. b. How much would it be worth to
> Solve the linear programming model formulation in Problem 24 for strawberry lassi graphically. a. Indicate the slack and surplus available at the optimal solution point and explain their meanings. b. What increase in the objective function coefficients i
> Indians drink lassi during the summer because of its cooling properties. It is made from yogurt, and fruit juices are added to have different flavors. Strawberry lassi consists of yogurt and strawberry juice. A lassi manufacturing company received an ord
> Solve the linear programming model formulation in Problem 21 for the for London Fashions using computer. a. If the firm could reduce the minimum ad requirements for TV or print media, which should it select? How much reduction of your choice will reduce
> The owners of Backstreets Italian Restaurant are considering starting a delivery service for pizza and their other Italian dishes in the small college town where they are located. They can purchase a used delivery van and have it painted with their name
> Solve the linear programming model formulation in Problem 21 for London Fashions graphically. a. Determine the sensitivity ranges for the cost of TV. b. Does the company give any more print media ads than is required and if so, how many more? c. What wou
> London Fashions specializes in the design and delivery of apparels. To improve its sales, the company puts ads on TV and print media. TV channels play the video clip of an ad for 60 seconds and charge €25 per ad; print media (books, magazines, newspapers
> Solve the linear programming model formulation in Problem 18 for the fast food restaurant using computer. a. Identify and explain the shadow prices for each of the resource constraints. b. Which of the resource constraints is most profitable? c. Identify
> Formulate a linear programming model for Problem 37 in Chapter 1 and solve using the computer. How does this solution differ from the solution to Problem 33 in Chapter 1?
> Solve the linear programming model formulation in Problem 18 for the fast food restaurant graphically. a. How many extra breads and eggs are leftover at the optimal solution? Is there any idle labor time? b. What would the solution be if the profit for a
> The manager of a fast food restaurant at the Heathrow Airport wants to determine how many sandwiches and bread-omelettes to prepare for customers. These foods require the following ingredients. The restaurant has 25 hours of labor available per day. The
> Solve the linear programming model formulation in Problem 15 for the Patel brothers using the computer. a. If the authorities allow the brothers to plant a minimum of 20 acres with onion, should they plant only 20 acres or more? Explain. b. The brothers
> Solve the linear programming model formulation in Problem 15 for the Patel brothers graphically. a. How many acres of land was cultivated at the optimal solution? Did they use all the land? b. If they plant only onions, what would be their maximum profit
> Patel brothers have 50 acres of farmland on the banks of River Ganges. They plan to grow tomatoes and onions. Since onions requires less water, the irrigation authority wants the brothers to cultivate at least 25 acres of land with onions. Brothers work
> Solve the linear programming model formulated in Problem 12 for United Aluminum Company by using the computer. a. Identify and explain the shadow prices for each of the aluminum grade contract requirements. b. Identify the sensitivity ranges for the obje
> The Tech Student Government Association (SGA) has several campus projects it undertakes each year, and its primary source of funding to support these projects is a T-shirt sale in the fall for what is known as the “orange effect” football game (with oran
> Solve the linear programming model formulated in Problem 12 for United Aluminum Company graphically. a. How much extra (i.e., surplus) high-, medium-, and low-grade aluminum does the company produce at the optimal solution? b. What would be the effect on
> United Aluminum Company of Cincinnati produces three grades (high, medium, and low) of aluminum at two mills. Each mill has a different production capacity (in tons per day) for each grade, as follows: The company has contracted with a manufacturing firm
> Solve the linear programming model formulation in Problem 9 for the fitter by using the computer. a. If the fitter can obtain additional hours either to cutter or grinder (but not both), which should he select? How much? Explain your answer. b. Identify
> Solve Problem 9 graphically. a. How many hours of the cutter’s time are used? Does it have any leftover time? b. If the fitter is able to reduce the cost of product A from €8 to €6 and product B from €12 to €9, what will be the impact of cost reduction o
> Given the following QM for Windows computer solution of a linear programming model, graph the problem and identify the solution point, including variable values and slack, from the computer output:
> Solve the following linear programming model graphically: maximize Z = 3x1 + 6x2 subject to 3x1 + 2x2 … 18 x1 + x2 Ú 5 x1 … 4 x1, x2 Ú 0
> In Problem 7, how much flour and sugar will be left unused if the optimal numbers of cakes and Danish are baked?
> The Crumb and Custard Bakery makes coffee cakes and Danish pastries in large pans. The main ingredients are flour and sugar. There are 25 pounds of flour and 16 pounds of sugar available, and the demand for coffee cakes is 5. Five pounds of flour and 2 p
> Refer to Problem 5. a. How much iron and labor will be unused if the optimal number of windows and doors are produced? b. Explain the effect on the optimal solution of changing the profit on a window from € 500 to € 300.
> A metal shop fabricates windows and doors to construction companies. To fabricate these, the shop uses iron, glass, and labor. The company has 80 units of standard size iron, 60 square feet of glass, and unlimited hours of labor but the shop has to use 5
> A group of developers is opening a health club near a new housing development. The health club— which will have exercise and workout equipment, basketball courts, swimming pools, an indoor walking/running track, and tennis courts—is one of the amenities
> Angela and Bob Ray keep a large garden in which they grow cabbage, tomatoes, and onions to make two kinds of relish—chow-chow and tomato. The chow-chow is made primarily of cabbage, whereas the tomato relish has more tomatoes than does the chow-chow. Bot
> In Problem 40: a. Suppose Shirtstop decided it wanted to minimize the defective shirts while keeping costs below $2,000. Reformulate the problem with these changes and solve graphically. b. How many fewer defective items were achieved with the model in (
> Shirtstop makes T-shirts with logos and sells them in its chain of retail stores. It contracts with two different plants—one in Puerto Rico and one in The Bahamas. The shirts from the plant in Puerto Rico cost $0.46 apiece, and 9% of them are defective a
> The Kalo Fertilizer Company makes a fertilizer using two chemicals that provide nitrogen, phosphate, and potassium. A pound of ingredient 1 contributes 10 ounces of nitrogen and 6 ounces of phosphate, whereas a pound of ingredient 2 contributes 2 ounces
> Kroeger supermarket sells its own brand of canned peas as well as several national brands. The store makes a profit of $0.28 per can for its own peas and a profit of $0.19 for any of the national brands. The store has 6 square feet of shelf space availab
> In Problem 36, a. How many hours are left unused at the optimal solution? b. What would be the effect on the optimal solution of increasing the available cloth from 90 to 100 meters?
> On the UAE national day, children wear new clothes with the national flag embroidered on them. A tailor has three weeks before the national day and plans to work for up to 40 hours per week for the next three weeks. He earns a revenue of AED100 for stitc
> Assume that the objective function in Problem 34 has been changed from Z = 30x1 + 70x2 to Z = 90x1 + 70x2. Determine the slope of each objective function, and discuss what effect these slopes have on the optimal solution.
> A manufacturing firm produces two products. Each product must undergo an assembly process and a finishing process. It is then transferred to the warehouse, which has space for only a limited number of items. The firm has 80 hours available for assembly a
> The Youth Cricket Club of a small city has a team of 20 members. The club provides professional coaching to its members. The club needs a budget of $75,000 every year to support its team and to pay the coaches’ salaries. To generate this amount, the club
> A canning company produces two sizes of cans—regular and large. The cans are produced in 10,000-can lots. The cans are processed through a stamping operation and a coating operation. The company has 30 days available for both stamping and coating. A lot
> Copperfield Mining Company owns two mines, each of which produces three grades of ore— high, medium, and low. The company has a contract to supply a smelting company with at least 12 tons of high-grade ore, 8 tons of medium-grade ore, and 24 tons of low-
> In Problem 30, how much additional profit would the restaurant realize each week if it increased its freezer capacity to accommodate 20 extra gallons total of ice cream and yogurt?
> Gillian’s Restaurant has an ice-cream counter where it sells two main products, ice cream and frozen yogurt, each in a variety of flavors. The restaurant makes one order for ice cream and yogurt each week, and the store has enough freezer space for 115 g
> What would be the effect on the optimal solution in Problem 2 if the cost of rice increased from $0.03 per ounce to $0.06 per ounce?
> Solve the following linear programming model graphically:
> Solve the following linear programming model graphically:
> Solve the following linear programming model graphically: minimize Z = 5x1 + x2 subject to 3x1 + 4x2 = 24 x1 … 6 x1 + 3x2 … 12 x1, x2 Ú 0
> In Problem 25, what would be the effect on the solution if the constraint x2 ≤ 7 were changed to x2 ≥7?
> Solve the following linear programming model graphically: minimize Z = 3x1 + 6x2 subject to 3x1 + 2x2 … 18 x1 + x2 Ú 5 x1 … 4 x2 … 7 x2∙x1 … 7/8 x1, x2 Ú 0
> The College of Business at Tech is planning to begin an online MBA program. The initial start-up cost for computing equipment, facilities, course development, and staff recruitment and development is $350,000. The college plans to charge tuition of $18,0
> Pastureland Dairy makes cheese, which it sells at local supermarkets. The fixed monthly cost of production is $4,000, and the variable cost per pound of cheese is $0.21. The cheese sells for $0.75 per pound; however, the dairy is considering raising the
> Tilda Limited is a food manufacturer and major supplier of pure basmati rice to the UK grocery, wholesale and food service sectors. The rice is sourced from the foothills of the Himalayas and undergoes stringent quality and DNA verification tests across
> CleanCo is a manufacturer of cleaning products that serves the European grocery retailing market. CleanCo currently segments its customers on the value of customer accounts. The primary division is between national accounts, for which 10 accounts constit
> At the time Tom Cross took over as managing director at Powerdrive Motors in South Africa, the company was an established manufacturer of small electric motors with a strong reputation for product reliability and technical leadership. On the downside, it
> Electrolux is a manufacturer of domestic appliances such as dishwashers and vacuum cleaners. The company has developed a programme to boost innovation, based on joint innovation efforts with suppliers and originating from the simple realization that supp
> Unilever has also become very focused on seeking upstream collaboration opportunities to support its ambition to double the size of the company whilst reducing its environmental impact. For procurement and supply chain, this target meant it needed to inv
> Haiti was hit by a disastrous earthquake of 7.0 magnitude on 12 January 2010. It caused more than 120,000 deaths, more than 300,000 injuries and more than 1.5 million people to become homeless. The country of Haiti (established in 1804) has always experi
> Mars, the manufacturer of confectionery and pet food, has been on a multi-year journey towards supplier relationship management. In 2015 the company evaluated its existing performance and process and designed a ‘to be’ future design and suite of tools an
> Auto Roadside Recovery (ARR) is a medium sized company operating around Madrid. ARR provides a vehicle breakdown service offering roadside repair and recovery of the vehicle. Frequently used parts include starters and alternators, which are sourced from
> Eaton Corporation is a $16 billion diversified power management and technology manufacturer of over 400,000 products as diverse as pumps and valves, cylinders, connectors, hoses and motors. The company has a programme under way to move from 700+ to some
> Boeing’s challenges with the market introduction of the Dreamliner plane are already touched upon in Chapter 4. After its introduction, the Dreamliner ended up grounded due to battery issues. Boeing was in need of changing its battery design and technolo
> With whom was about €1 billion. The procurement team analysed this supply base, and was helped in this task because there was one single list of suppliers – which is not at all always the case! In more internationally operating companies there are often
> SKF is a manufacturing company based in Sweden that produces a wide range of industrial parts and equipment. The company has undergone a multi-year effort to centre its sourcing more on TCO. In the company’s experience, TCO has an impact on the evaluatio
> Cofely, in the Netherlands, is an installation and technical services company with annual revenues of €1.3 billion and some 7,000 staff. The firm is organised into 14 distinct businesses with their own profit and loss accounts. These businesses serve eit
> Johnson & Johnson (J&J) is a $65+ billion health care company that employs more than 129,000 employees and 10,000+ suppliers around the world. The company’s procurement leadership has defined an ambition agenda of building blocks for procurement excellen
> Automotive assemblers and their inbound supply chains have developed many solutions to orchestrate the manufacturing and delivery of the thousands of parts that go to make up a vehicle. The many potential inbound logistics solutions are summarized in Fig
> Marine Transport International (MTI), together with Agility Science (AS), developed the aptly named Container Streams distributed ledger technology, based on open source with an MIT permission license. According to Jody Cleworth, CEO of MTI: The creation
> In 2003 Walmart began a programme implementing RFID, which turned out to be far more challenging than expected and reveals the many issue in the retail sector. Problems began shortly after the announcement in June 2003 of the initiative to tag cases and
> Global ‘vertical’ supply strategies in the apparel industry aim to emulate retailers such as Zara, which sources everything from set manufacturing plants that are situated within the same geographic region as most of its retail outlets. Setting up a simi
> In January 2007 Marks & Spencer (M&S) launched ‘Plan A’, its five-year strategy to improve the retailer’s social and environmental impact. Plan A set out 100 commitments – goals to be achieved by 2012 – covering climate change, raw materials, waste, heal
> The Bose Corporation, a USA-based manufacturer of hi-fi equipment (as shown in Figure 8.9) developed the JIT2 concept in the early 1990s. Bose recognized that, if the traditional buyer–supplier relationships were to be made more effecti
> O2 is Telefonica’s UK commercial brand and provides the communication network and supply mobile phone devices through its network of retail stores. The supply chain team have established a high degree of collaboration with their suppliers (and internal c
> CPFR pilots have been a popular diversion in the UK grocery sector. Often, they show – as in this case – that considerable opportunities for improvement exist, but that the problems of scaling up the pilot are too grea
> Travis Perkins plc (TP) is the largest UK merchant supplier of building material to selfbuilders and the construction industry. It has doubled in size in recent years, in part through acquisitions, and now owns 25 businesses, including Wickes and Tool st
> Located on the coast of east Tianjin, Binhai New Area (BNA) is at the intersection of the Bohai Economic Belt and Jing-Jin-Ji Metropolitan Circle and Bohai Economic Sphere. This is also the starting point of the Eurasian Continental Bridge and an importa
> The National Association of Italian Footwear Manufacturers (Assocalzaturifici – http:// www.assocalzaturifici.it) explains, The success of the footwear sector in Italy is linked to an enterprising spirit and to the structure of the sect
> A major supplier of digital telecommunications systems, which we shall call ‘Cymru’, had established a successful manufacturing plant in Wales. The European region had been restructured into five customer-facing divisi
> Many basic improvements were identified when the supply chain executive team from Alfa Laval examined the alignment throughout the company, as illustrated in Figure 8.4, Four areas of alignment improvement initiatives were highlighted: interactions with
> DW Windsor is a service-led manufacturer of exterior lighting that delivers road and street lighting products and design services to clients globally from their world-class production facility. The business was established in the late 1970â€&#
> Li & Fung is a Hong Kong based company that was established in the early 1900s as a mediator between Chinese speaking sellers and English speaking buyers. A century later it is one of the world’s leading textile exporters (the large
> Consumer products giant P&G has its share of supply chain scope. In 2012 the company realised $84 billion in sales and 25 of its brands generated $1 billion or more revenue. In order to realise this revenue, the company procures inputs worth over $51 bil
> Micro Compact Car AG (MCC), a wholly owned subsidiary of Daimler-Benz (formerly a joint venture of Daimler-Benz and Swatch), is the company behind the Smart Car. The Smart City Coupé is a two-seater car measuring 2.5 metres in length, which
> Bacalao is fish that has been salted and dried, traditionally in the open air on rocks; today it is done in a drier. It has been produced in Norway since about 1640, can be kept refrigerated for several years, and is said to improve over time. It has dev
> Almost a fifth of the UK’s wheat crop goes into poultry feed and, although feed supply chains are often short and integrated, there are opportunities to improve the performance, even in these commodity chains. This was found to be the c
