A manufacturer has two shipments to make from Minneapolis to Chicago. Both shipments weigh 8500 pounds. The two shipments can be shipped separately to Chicago at a cost of $2.00 per mile for a total of 409 miles and will take one day for each shipment. The company has a warehouse in Milwaukee where they can consolidate the freight. It would take two LTL shipments at $2.00 per mile to get the freight to Milwaukee for 337 miles and then one full TL shipment from Milwaukee to Chicago at $1.50 per mile for 92 miles. The consolidation cost in Milwaukee is $200 and it takes two days for the trip through Milwaukee. What is the lowest cost to ship the freight and which approach would you select?

A manufacturer has two shipments to make from Minneapolis to Chicago. Both shipments weigh 8500 pounds. The two shipments can be shipped separately to Chicago at a cost of $2.00 per mile for a total of 409 miles and will take one day for each shipment. The company has a warehouse in Milwaukee where they can consolidate the freight. It would take two LTL shipments at $2.00 per mile to get the freight to Milwaukee for 337 miles and then one full TL shipment from Milwaukee to Chicago at $1.50 per mile for 92 miles. The consolidation cost in Milwaukee is $200 and it takes two days for the trip through Milwaukee. What is the lowest cost to ship the freight and which approach would you select?

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter5: Network Models

Section: Chapter Questions

Problem 68P

See similar textbooks

Similar questions

The Superior Manufacturing Company wants to make two shipments from Dallas, Texas to Los Angeles, California. The first shipment weighs 10,000 pounds and the second shipment weighs 15,000 pounds. The carrier charges $10 per hundredweight (cwt) if the goods are shipped separately and they arrive in two days. If the goods can be consolidated into one shipment the cost would be $8 per cwt to ship them in a truckload lot, but it would cost $500 to consolidate the shipments at the carrier’s warehouse and it would take three days. Which is the lowest cost approach and which approach would you select?
A retail has 8 stores supplied from 4 suppliers, where each supplier supplies different goods. Delivery from the Supplier is in trucks with a capacity of 40,000 units at a cost of $1100 per load plus $100 per delivery to the store. Inventory costs are $0.2 per unit per year. The Supply Chain Manager is considering whether to use direct shipping or Milk Run delivery for 4 stores for each truck in one shipment a) if annual sales in each store are 1000,000 units, which shipping method provides the lower cost b) if the annual sales in each store are 200,000 units, which shipping method provides the lower cost
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…
4. 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?
A company normally ships to a customer by rail at a cost of $500 per load. The transittime is 14 days. The goods can be shipped by truck for $700 per load and a transit timeof 4 days. If transit inventory cost is $35 per day, what does it cost to ship each way?
Suppose a company with a plant located in Toronto is serving a market in the northeastern United States with many customers located in Boston. If the company ships direct to customers from the Toronto plant, most shipments will be less than truckload. However, if it locates a distribution center in Boston, it can ship truckload (TL) to Boston and distribute bylocal cartage (LTL) to customers in that area. Whether this is economical or not depends on the total cost of shipping direct compared with shipping via the distribution center. Assume the following figures represent the average shipments to the Boston area:Option 1: Plant to customer LTL: $100/cwt. [uses direct dispatch from company to customers]Option 2: Through DCPlant to distribution center TL: $50/cwt.Inventory-carrying cost (distribution center): $10/cwt.Distribution center to customer LTL: $20/cwt.QuestionIs it more economical to establish the distribution center in Boston? If the annual shipped volume is 10,000 cwt., what…
Modify the RedBrand example so that all flows must be from plants to warehouses and from warehouses to customers. Disallow all other arcs. How much does this restriction cost RedBrand, relative to the original optimal shipping cost?
ABC pharmaceutical Company has four factories that ship supplies to four warehouses. The company’s management hires you as a consultant to determine a minimum-cost shipping plan for its monthly output to the warehouses. Factory capacities, warehouse demands, and shipping cost per box are shown below. Factory Supply or capacity (boxes) Warehouse Demand (boxes) Richmond 60 Chicago 100 Santa Fe 80 Jacksonville 90 Austin 120 Huntville 50 Vacaville 90 Fresno 70 Shipping Costs per box (In Dollars) From To Chicago To Jacksonville To Huntsville To Fresno Richmond 35 35 46 60 Santa Fe 65 40 35 25 Austin 50 50 80 90 Vacaville 40 40 66 75 Draw a diagram by showing factories, warehouses, and connecting arcs. Define variables, write the objective function and constraints.
Machine Supply Co. plans to open a new branch in Houston, TX to provide local support to its customers in the area. The company currently considers two locations (small and large) for its new branch. While the small location can store up to 500 units of product, the large one can store up to 1200 units (more than these amounts cannot be stored at any time). However, the large location costs an additional $1000 per month to rent compared to the small location. Transportation companies charge different amounts for small and large locations as provided in the table below. The expected demand in the greater Houston area is 52000 units and each unit costs $300. The inventory holding rate per year is 24%. Given the below information about two locations and transportation company. Which branch location should be chosen by Machine Supply CO.? NOTE: It is expected that the average inventory level in Memphis, TN (the source facility) will not be affected by these decisions. If you need any…
Machine Supply Co. plans to open a new branch in Houston, TX to provide local support to its customers in the area. The company currently considers two locations (small and large) for its new branch. While the small location can store up to 500 units of product, the large one can store up to 1200 units (more than these amounts cannot be stored at any time). However, the large location costs an additional $1000 per month to rent compared to the small location. Transportation companies charge different amounts for small and large locations as provided in the table below. The expected demand in the greater Houston area is 52000 units and each unit costs $300. The inventory holding rate per year is 24%. Given the below information about two locations and transportation company. Which branch location should be chosen by Machine Supply CO.? NOTE: It is expected that the average inventory level in Memphis, TN (the source facility) will not be affected by these decisions. If you need any…
Dr Pepper bottles soft drinks that it distributes to retail outlets from ten warehouses in USA. A single bottling plant is located in Seattle. The product is shipped from the plant to the warehouses via trucks each of which possibly travels more than one warehouse in a trip. Dr Pepper outsources the transportation of the products to a third-party trucking company, DHL. DHL charges a fix fee of $500 plus a variable free of $0.80 per miles per a trip of a truck. For instance; if the length of a truck’s trip is 600 miles, then DHL charges 500 + 600*0.80 = $980 to Dr Pepper. The capacity of each truck is 36 pallets but transportation fee does not change if the all capacity is used or not. In a particular day the demands of the warehouses are as listed in the following table. Use Savings method to find the number of routes (trucks) needed, warehouses on the routes, and the sequence the truck should serve the warehouses based on the real distance matrix given below (assume the warehouses are…
Radiant wants to hire Cargo planes for transporting their goods. They contacted VIP Transportation Company to hire Cargo planes. VIP informed that they can provide two types of Cargo Planes. In addition, they provided the following cost related information about the two types Cargo planes- WT88 and BH54: Personnel Cost Fuel Cost Maintenance Cost WT88 2000 1000 2000 BH54 2500 1500 1000 Radiant has $200,000 to spend in personnel cost, $160,000 in fuel cost, and $80,000 in maintenance cost. Moreover, they have to hire at least two of each type of planes. If WT88 can carry 55 tons of goods and BH54 can carry 85 tons of goods, then find out the following using Linear Programming: What is the maximum amount Radiant can carry given their budget constraint? Can you solve using solver ? (I did this but I got a wrong answer) Data Personnel Cost Fuel Cost Maintenance Cost Tons WT88 2000 1000 2000 55…