The town of Lexington purchases gasoline from three vendors to fuel its fleet of municipal vehicles. Each vendor delivers gasoline in 6,000 gallon quantities. Since vendors must deliver the fuel, a transportation fee (based on the distance the vendor must travel) is added to each delivery. The number of deliveries required by each location, the cost of supplying a truckload of gasoline to each location from each vendor, and the number of truckloads each vendor can deliver are provided below: PoliceStation FireStation BusDepot PublicWorksGarage Deliveries(truckloads)available Vendor A Vendor B Vendor C Deliveries(truckloads)required $500 $350 $400 12 $525 $425 $375 2 $550 $450 $625 18 $600 $575 $475 6 20 14 10 Assuming that the price per gallon of fuel is the same for each vendor, develop a linear programming model that minimizes the total transportation fee that Lexington must pay for supplying all of its facilities’ fuel needs.
Q: Cleveland Area Rapid Delivery (CARD) operates a delivery service in the Cleveland metropolitan area.…
A: Network Flow Models- Consist of a network of sources and destinations. These are represented with…
Q: Joburg Logistics (JL), a distributor of various products Polokwane receives their products from…
A: TAC is the total annual cost that includes both transportation and inventory carrying costs.Evaluate…
Q: The Fish House (TFH) in Norfolk, Virginia, sells fresh fish and seafood. TFH receives daily…
A: Find the given details below: Given…
Q: A firm has established a distribution network for the supply of a raw material critical to its…
A: When supply is less than demand or vice versa, it is called as unbalanced problem. For unbalanced…
Q: Cleveland Area Rapid Delivery (CARD) operates a delivery service in the Cleveland metropolitan area.…
A: A shortest path is a computational method used to find the shortest path between two nodes in a…
Q: A seafood distribution company specializes in delivering fresh lobsters from their harvesting sites…
A: Find the given details below:
Q: Schneider Logistics Company has built a new warehouse in Columbus, Ohio, to facilitate the…
A: Given data is, Requirements (hours/wk) 200 400 600 Number of teams 1 2 3 Probability 0.20…
Q: NTS is a Swiss intermodal operator located in Lausanne. When customers need to transport goods…
A: Once the optimal solution is found, it will indicate how many containers should be transported from…
Q: The Canadian government has built a large grain-shipping port at Churchill, Manitoba, on the Hudson…
A: Availbale time =50days=50×24=1200 hoursEach ship =six hours for loading by a single crewPort…
Q: ey produce a low-volume, premium product used by those who race go-karts. In total, they produce d…
A: Foundation (Leadership) - Lean Agile Management applies for the drawn-out development and…
Q: Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking…
A: It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of…
Q: ChocoTown has a 4,000 square foot outlet store that serves five major customer regions, denoted A,…
A: Since the variable Xij represents no of units product shipped from location i to j. Xij = no of…
Q: 3.4-15* A cargo plane has three compartments for storing cargo: front, center, and back. These…
A: Objective Functions and Constraints: Based on the given details, the objective…
Q: Star Garage Limited provides motor vehicle accessories and services for a wide range of vehicles in…
A: Star Garage Limited operates in Dominica, providing motor vehicle accessories and services for a…
Q: A certain city the Transportation Authority (CTA) has trollies leaving regularly throughout the day…
A: THE ANSWER IS AS BELOW:
Q: A fertilizer manufacturer has to fulfill supply contracts to its two main customers (650 tons to…
A: VA1 = tons shipped to customer A from warehouse 1VA2 = tons shipped to customer A from warehouse…
Q: Cars-to-Dealers Logistics Inc. is the exclusive logistics provider for the Summit Motor Co. and has…
A: Find the given details below:
Q: Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking…
A: Let Xij be the number of units shipped from i to j where i is a,b,c,d,e and j is d,e ,f,g,h…
Q: 2. Sunray Transport company ships truckloads of grain from three warehouses to four distribution…
A: a) Total Demand = 5+15+15+15 = 50. Total Supply = 15+!5+10 = 40 Demand is more than Supply.…
Q: DM Office Products (DMOP) is a wholesale supplier of office products with one facility in…
A: The centroid approach uses cluster analysis to group related items or data points according to how…
Q: R. C. Coleman distributes a variety of food products that are sold through grocery store and…
A: Activity Optimistic Most Probable Pessimistic A 4 6 8 B 6 8 16 C 2 4 6 D 8 10 24 E 7…
Q: LAW ENFORCEMENT. The police department of the city of Flint, Michigan, has divided the city into 15…
A: Linear programming helps us to find the optimal solution/best outcome, given the constraints.Binary…
Q: Based on this analysis, explain whether QL should vertically integrate by owning and operating the…
A: Vertical integration: - Vertical integration means when an organization owns or regulates its…
Q: Draw a diagram by showing factories, warehouses, and connecting arcs. Define variables, write the…
A: The transportation model is used to calculate the minimum cost of the route by selecting different…
Q: A long-distance telephone company uses a fiber-optic network to transmit phone calls and other…
A: Linear programming is a mathematical technique that is also used in operations management…
Q: Valles Galactic Industries (VGI) owns a small company (VGI-Durango Sur) that manufactures various…
A: Production and inventory planning are two major activities in any manufacturing firm. If well…
Q: Suppliers A, B, and C supply components to three plants -- F, G, and H via two transshipment…
A: Effective supply chain management is essential for optimizing the flow of goods and minimizing costs…
Q: ABC Apple Juice Company produces and markets fresh fruit juice. During the apple harvest season,…
A: From 7 AM to 10 AM, the inventory comes in at a rate of three ,000 kgs per hours and gets…
Q: Companies like Microsoft and Apple started selling tablets in place of laptops. Many customers…
A: Note: Only one question can be answered at a time based on our instructions. Porter's Five Forces…
Q: ompanies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities…
A: Let Xij be the number of units shipped from company to cross-docking where i = a,b,c and j = d ,…
Q: Mount Isa Mines is one of the world’s great metal mines. Its main operations are at Mount Isa, in…
A: The rail system permits the mining industry to conveyance weighty loads of goods, rare materials,…
Q: 3-38. Consider the following set of constraints: X1 + x2 + x3 = 7 2x1 - 5x2 + x3 > 10 X1, X2, X3 2 0…
A:
Q: A company manufactures a product at its plants in C and D; then ships the product to its four…
A: Given data is
Q: The Tubular Ride Boogie Board Company has manufacturing plants in Tucson, Arizona and Toronto,…
A:
Q: Find the shortest-route distance from Chicago to node 6.
A: Operation management is performed in each manufacturing organization. It all deals with the…
The town of Lexington purchases gasoline from three vendors to fuel its fleet of municipal vehicles. Each vendor delivers gasoline in 6,000 gallon quantities. Since vendors must deliver the fuel, a transportation fee (based on the distance the vendor must travel) is added to each delivery. The number of deliveries required by each location, the cost of supplying a truckload of gasoline to each location from each vendor, and the number of truckloads each vendor can deliver are provided below:
Police Station |
Fire Station |
Bus Depot |
Public Works Garage |
Deliveries (truckloads) available |
|
Vendor A Vendor B Vendor C Deliveries |
$500 $350 $400 12
|
$525 $425 $375 2
|
$550 $450 $625 18
|
$600 $575 $475 6
|
20 14 10
|
Assuming that the price per gallon of fuel is the same for each vendor, develop a linear programming model that minimizes the total transportation fee that Lexington must pay for supplying all of its facilities’ fuel needs.
![](/static/compass_v2/shared-icons/check-mark.png)
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
- Located in the picturesque Berkshire Mountains of Western Massachusetts, Ski Butternut has been a family-owned, family-oriented ski destination for more than 50 years. The resort includes 22 trails for downhill skiing and snowboarding, two terrain parks for riding, and a dedicated area for snow tubing. Although Ski Butternut hosts some non-ski events during summer and fall, its business goes into high gear when snowy weather arrives, bringing skiers and riders from across Massachusetts, Connecticut, New York, and New Jersey. Matt Sawyer, Ski Butternuts director of marketing, says the primary target market has always been families with young children who are seeking affordable skiing. Everything from the snack-bar menus to the ski-shop merchandise is presented with families in mind. So that parents can have fun in the snow without worry, the resort has a Childrens Center for children who are too young to ski or have no interest. Fifth-graders are invited to ski for free when accompanied by an adult who buys an adult lift ticket. The resort also created two terrain parks for young snowboarders who were clamoring for a more exciting riding experience. Without the terrain parks, Sawyer says, these boarders would have asked their parents to take them to competing mountains in Vermont. Ski Butternuts research shows that first-timers are a particularly important segment, because they tend to have a strong allegiance to the resort where they learn to ski. First-timers typically visit the resort seven times before seeking out more challenging mountains. As a result, Ski Butternut has made teaching first-timers to ski or snowboard one of its specialties. For this market, the resort bundles ski or board rentals, lift tickets, and also offers a wide range of individual and group lessons for all ages and abilities at a value price. Because Ski Butternut has trails for different skill levels, beginners can challenge themselves by changing trails within the resort once they feel confident. Ski Butternut also targets seniors and college students. Knowing that weekends are the busiest period, the resort offers special midweek prices to attract seniors who have free time to ski on weekdays. College students are particularly value-conscious, and they often travel to ski resorts as a group. As a result, Ski Butternut offers weekend and holiday discounts to bring in large numbers of students who would otherwise ski elsewhere. Thanks to Facebook, Twitter, and other social media, students quickly spread the word about special pricing, which enhances Ski Butternuts ability to reach this key segment. In addition, the resort highlights discount pricing for families when targeting specific segments, such as scout troops, military personnel, emergency services personnel, and members of local ski clubs. Another segment Ski Butternut has selected for marketing attention is ski racers. The resort features professional coaching, lessons, and programs for ski racers in the age group of 8 to 20. Sawyer notes that these ski racers are extremely dedicated to training, which means theyre on the slopes as often as possible, a positive for the resorts attendance and revenue. To stay in touch with racers, Ski Butternut has a special website and a dedicated Facebook page. Sawyer conducts up to 1,200 customer surveys every year to better understand who his customers are and what they need. He also compares the results with skiers who visit mountains of a similar size in other areas. Digging deeper, he analyzes data drawn from the ski shops rental business to build a detailed picture of customers demographics, abilities, and preferences. Based on this research, he knows that the typical family at Ski Butternut consists of two children under age 18 who ski or ride, and at least one parent who skis. Because they can obtain so much information from and about their customers, Sawyer and his team are able to make better decisions about the marketing mix for each segment. By better matching the media with the audience, they get a better response from advertising, e-mail messages, and other marketing communications. As one example, they found that 15 percent of the visitors to Ski Butternuts website were using a smartphone to access the site. Sawyer has now created a special version of the site specifically for mobile use and created a text-message contest to engage skiers who have smartphones.16 Of the four categories of variables, which one seems to be the most central to Ski Butternuts segmentation strategy, and why?Located in the picturesque Berkshire Mountains of Western Massachusetts, Ski Butternut has been a family-owned, family-oriented ski destination for more than 50 years. The resort includes 22 trails for downhill skiing and snowboarding, two terrain parks for riding, and a dedicated area for snow tubing. Although Ski Butternut hosts some non-ski events during summer and fall, its business goes into high gear when snowy weather arrives, bringing skiers and riders from across Massachusetts, Connecticut, New York, and New Jersey. Matt Sawyer, Ski Butternuts director of marketing, says the primary target market has always been families with young children who are seeking affordable skiing. Everything from the snack-bar menus to the ski-shop merchandise is presented with families in mind. So that parents can have fun in the snow without worry, the resort has a Childrens Center for children who are too young to ski or have no interest. Fifth-graders are invited to ski for free when accompanied by an adult who buys an adult lift ticket. The resort also created two terrain parks for young snowboarders who were clamoring for a more exciting riding experience. Without the terrain parks, Sawyer says, these boarders would have asked their parents to take them to competing mountains in Vermont. Ski Butternuts research shows that first-timers are a particularly important segment, because they tend to have a strong allegiance to the resort where they learn to ski. First-timers typically visit the resort seven times before seeking out more challenging mountains. As a result, Ski Butternut has made teaching first-timers to ski or snowboard one of its specialties. For this market, the resort bundles ski or board rentals, lift tickets, and also offers a wide range of individual and group lessons for all ages and abilities at a value price. Because Ski Butternut has trails for different skill levels, beginners can challenge themselves by changing trails within the resort once they feel confident. Ski Butternut also targets seniors and college students. Knowing that weekends are the busiest period, the resort offers special midweek prices to attract seniors who have free time to ski on weekdays. College students are particularly value-conscious, and they often travel to ski resorts as a group. As a result, Ski Butternut offers weekend and holiday discounts to bring in large numbers of students who would otherwise ski elsewhere. Thanks to Facebook, Twitter, and other social media, students quickly spread the word about special pricing, which enhances Ski Butternuts ability to reach this key segment. In addition, the resort highlights discount pricing for families when targeting specific segments, such as scout troops, military personnel, emergency services personnel, and members of local ski clubs. Another segment Ski Butternut has selected for marketing attention is ski racers. The resort features professional coaching, lessons, and programs for ski racers in the age group of 8 to 20. Sawyer notes that these ski racers are extremely dedicated to training, which means theyre on the slopes as often as possible, a positive for the resorts attendance and revenue. To stay in touch with racers, Ski Butternut has a special website and a dedicated Facebook page. Sawyer conducts up to 1,200 customer surveys every year to better understand who his customers are and what they need. He also compares the results with skiers who visit mountains of a similar size in other areas. Digging deeper, he analyzes data drawn from the ski shops rental business to build a detailed picture of customers demographics, abilities, and preferences. Based on this research, he knows that the typical family at Ski Butternut consists of two children under age 18 who ski or ride, and at least one parent who skis. Because they can obtain so much information from and about their customers, Sawyer and his team are able to make better decisions about the marketing mix for each segment. By better matching the media with the audience, they get a better response from advertising, e-mail messages, and other marketing communications. As one example, they found that 15 percent of the visitors to Ski Butternuts website were using a smartphone to access the site. Sawyer has now created a special version of the site specifically for mobile use and created a text-message contest to engage skiers who have smartphones.16 How is Ski Butternut applying behavioristic variables in its segmentation strategy? Explain your answer.Located in the picturesque Berkshire Mountains of Western Massachusetts, Ski Butternut has been a family-owned, family-oriented ski destination for more than 50 years. The resort includes 22 trails for downhill skiing and snowboarding, two terrain parks for riding, and a dedicated area for snow tubing. Although Ski Butternut hosts some non-ski events during summer and fall, its business goes into high gear when snowy weather arrives, bringing skiers and riders from across Massachusetts, Connecticut, New York, and New Jersey. Matt Sawyer, Ski Butternuts director of marketing, says the primary target market has always been families with young children who are seeking affordable skiing. Everything from the snack-bar menus to the ski-shop merchandise is presented with families in mind. So that parents can have fun in the snow without worry, the resort has a Childrens Center for children who are too young to ski or have no interest. Fifth-graders are invited to ski for free when accompanied by an adult who buys an adult lift ticket. The resort also created two terrain parks for young snowboarders who were clamoring for a more exciting riding experience. Without the terrain parks, Sawyer says, these boarders would have asked their parents to take them to competing mountains in Vermont. Ski Butternuts research shows that first-timers are a particularly important segment, because they tend to have a strong allegiance to the resort where they learn to ski. First-timers typically visit the resort seven times before seeking out more challenging mountains. As a result, Ski Butternut has made teaching first-timers to ski or snowboard one of its specialties. For this market, the resort bundles ski or board rentals, lift tickets, and also offers a wide range of individual and group lessons for all ages and abilities at a value price. Because Ski Butternut has trails for different skill levels, beginners can challenge themselves by changing trails within the resort once they feel confident. Ski Butternut also targets seniors and college students. Knowing that weekends are the busiest period, the resort offers special midweek prices to attract seniors who have free time to ski on weekdays. College students are particularly value-conscious, and they often travel to ski resorts as a group. As a result, Ski Butternut offers weekend and holiday discounts to bring in large numbers of students who would otherwise ski elsewhere. Thanks to Facebook, Twitter, and other social media, students quickly spread the word about special pricing, which enhances Ski Butternuts ability to reach this key segment. In addition, the resort highlights discount pricing for families when targeting specific segments, such as scout troops, military personnel, emergency services personnel, and members of local ski clubs. Another segment Ski Butternut has selected for marketing attention is ski racers. The resort features professional coaching, lessons, and programs for ski racers in the age group of 8 to 20. Sawyer notes that these ski racers are extremely dedicated to training, which means theyre on the slopes as often as possible, a positive for the resorts attendance and revenue. To stay in touch with racers, Ski Butternut has a special website and a dedicated Facebook page. Sawyer conducts up to 1,200 customer surveys every year to better understand who his customers are and what they need. He also compares the results with skiers who visit mountains of a similar size in other areas. Digging deeper, he analyzes data drawn from the ski shops rental business to build a detailed picture of customers demographics, abilities, and preferences. Based on this research, he knows that the typical family at Ski Butternut consists of two children under age 18 who ski or ride, and at least one parent who skis. Because they can obtain so much information from and about their customers, Sawyer and his team are able to make better decisions about the marketing mix for each segment. By better matching the media with the audience, they get a better response from advertising, e-mail messages, and other marketing communications. As one example, they found that 15 percent of the visitors to Ski Butternuts website were using a smartphone to access the site. Sawyer has now created a special version of the site specifically for mobile use and created a text-message contest to engage skiers who have smartphones.16 What role do geographic variables play in Ski Butternuts segmentation and targeting?
- Valles Galactic Industries (VGI) owns a small company (VGI-Durango Sur) that manufactures various electronic products for original equipment manufacturers. Customer companies provide engineering designs, materials lists, and some unique materials. VGI-DS provides labor and space for the manufacturing and assembly operations and stocking a variety of inventory items for production, such as wire, cables, some electronic components, etc. Thus, VGI-DS orders a variety of components and raw materials by contract. The labor pool is primarily composed of about 100 retirees picking up extra cash by working four to six-hour shifts. Thus, the assembly operations must be simple and easy to teach. Skilled employees must do several raw material conversions for packaging—there are currently three such employees. VGI-DS receives forecasts from VGI headquarters for planned production for two years on a rolling quarterly basis. Staff at VGI-DS develop schedules and inventory plans based on this…Morgan Trucking Company operates a special pickup and delivery service between Chicago and six other cities located in a four-state area. When Morgan receives a request for service, it dispatches a truck from Chicago to the city requesting service as soon as possible. With both fast service and minimum travel costs as objectives for Morgan, it is important that the dispatched truck take the shortest route from Chicago to the specified city. Assume that the following network (not drawn to scale) with distances given in miles represents the highway network for this problem. Chicago 1 36 31 21 2 3 9 10 11 21 4 13 Find the shortest-route distance from Chicago to node 6. 6 5 6 16 6 21 7QL (“Quebec Lumber”) is a logging and wood processing firm in a remote part of the Canadian province of Quebec. They have recently acquired a remote track of timber that is located ten miles from their processing facility. Normally, this is not a problem as they are able to simply cut the timber and haul it using trucks to their processing facility. However, this track of forestland is ten miles to their north, and there are no roads connecting the tract of land to their facility. They have also acquired a narrow (120 foot wide) ten-mile strip of land connecting this tract of timber to their processing facility. QL considered building their own road between the two points, and have log trucks haul the logs to the processing facility. However, they have decided instead to go with a less expensive option, a narrow gauge railroad. The narrow gauge railroad would require the laying of ties and steel tracks, and will require a custom-built locomotive and rolling stock (train cars that will…
- Sarasota Go Karts (SGK) is a firm that manufactures racing go-karts (fictitious) in Sarasota Florida. They produce a low-volume, premium product used by those who race go-karts. In total, they produce and sell around 300 go-karts per year. They offer five different models, although some further customization can be added upon request. They sell their products directly to the consumer, who can visit their small showroom at their manufacturing plant if they are in the area. However, the majority of go-kart orders are placed via their website or the phone, and are then shipped to the customer. Over the years, SGK has ran into a number of problems. First is their inventory levels. Their finished goods inventory is substantial, at any one time they have between 250-300 finished go-karts on hand. This is because they want to have an inventory of all five go-kart models on hand at any point in time, and they produce each model in a batch of 50 units at a time. They also have substantial work…Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. What is the objective function? Group of answer choices Max Z = $3AD + $3AE + $4BD + $3BE + $5CD + $3CE + $4DF + $4DG + $4DH + $10EF + $9EG + $8EH Min Z = $3AD + $3AE + $4BD + $3BE + $5CD + $3CE + $4DF + $4DG + $4DH + $10EF + $9EG + $8EH Min Z = $3AD + $3BE + $5CD + $3CE…Companies A, B, and C supply components to three plants (F, G, and H) via two crossdocking facilities (D and E). It costs $4 to ship from D regardless of final destination and $3 to ship to E regardless of supplier. Shipping to D from A, B, and C costs $3, $4, and $5, respectively, and shipping from E to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. Crossdock facilities D and E can handle 600 and 700 units, respectively. Logistics Manager, Aretha Franklin, had previously used "Chain of Fools" as her supply chain consulting company, but now turns to you for some solid advice. Set up the solution in Excel and solve with Solver. What are total costs?
- Suppliers A, B, and C supply components to three plants -- F, G, and H via two transshipment facilities -- T1 and T2. It costs $4 to ship from T1 regardless of final destination and $3 to ship to T2 regardless of supplier. Shipping to T1 from A, B, and C costs $3, $4, and $5, respectively, and shipping from T2 to F, G, and H costs $10, $9, and $8, respectively. Suppliers A, B, and C can provide 200, 300 and 500 units respectively and plants F, G, and H need 350, 450, and 200 units respectively. The Logistics Manager has come to you for help. Answer the following question: Which of these is not an element of the objective function? Group of answer choices 4D-T1 600T1 9T2-G 3C-T2 Plz do fast asapCompanies like Microsoft and Apple started selling tablets in place of laptops. Many customers switched their purchases from laptops to Tablets. Most of the functions of laptops were also performed by the tablets. Many laptop producers started losing customers. The competitive force mentioned in this scenario is O a. Rivalry among existing competitors. O b. Bargaining power of the suppliers. O c. Threat of substitutes. O d. Bargaining power of the producers.NTS is a Swiss intermodal operator located in Lausanne. When customers need to transport goods between origin and destination, NTS supplies them with one or more empty containers in which the goods can be loaded.Upon arrival at the destination, the goods are unloaded, and the empty containers must be transported to the pickup point for new customers. Therefore, NTS management needs to reallocate empty containers periodically (every week). The company's focus is on the transportation activity of empty containers, which is very expensive (almost 35% of the total operational costs). In May 2023, several empty containers, totaling 20 containers, need to be reallocated among terminals in Amsterdam, Berlin, Munich, Paris, Milan, Barcelona, and Madrid. The available or requested number of empty containers at various terminals is reported, along with the transportation costs (in euros per container) as seen in Figure 1. Determine how to solve the problem with the goal of minimizing…
![Practical Management Science](https://www.bartleby.com/isbn_cover_images/9781337406659/9781337406659_smallCoverImage.gif)
![Practical Management Science](https://www.bartleby.com/isbn_cover_images/9781337406659/9781337406659_smallCoverImage.gif)