Solve the transportation problem (with cost coefficients):ТоAВCFactoryСараcity100300FromD$5$4$3E$8$4$3$9$7$5200300Warehouse300200700Requirements(i)(ii)Find an initial solution using the northwest corner rule.Find the optimal solution using the any appropriate method..

Find the given details below: Given details: A B C Factory Capacity D 5 4 3 100 E 8 4 3…

Answered: Solve the transportation problem (with…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter6: Optimization Models With Integer Variables

Section: Chapter Questions

Problem 100P

See similar textbooks

Similar questions

A farmers' cooperative association plans to build a new sugar mill in Georgetown. Theprimary objective of the mill is to provide the farmers with a place to take their crop forprocessing that will reduce their transportation costs. The members of the co-op believe thatthe center-of-gravity method is appropriate for this objective. While there are over 200 sugarcane farms in the region, they are tightly clustered around six villages. Using the data below,use the center-of-gravity method to calculate the coordinates of the best location for this mill.All mileage references use Browns Town as (0,0).VillageMiles East ofBrowns TownMiles North ofBrowns TownSugar CanetonnageBarney Valley 90 10 240,000Blue Pasture 140 60 320,000Congo Valley 20 70 450,000Bower 50 20 120,000Rabacca 100 80 60,000Salem 10 120 140,000
a. A farmers' cooperative association plans to build a new sugar mill in Georgetown. The primary objective of the mill is to provide the farmers with a place to take their crop for processing that will reduce their transportation costs. The members of the co-op believe that the center-of-gravity method is appropriate for this objective. While there are over 200 sugar cane farms in the region, they are tightly clustered around six villages. Using the data below, use the center-of-gravity method to calculate the coordinates of the best location for this mill. All mileage references use Browns Town as (0,0). Village Barney Valley Blue Pasture Congo Valley Bower Rabacca Salem Miles East of Miles North of Sugar Cane Browns Town Browns Town 90 140 20 50 100 10 10 60 70 20 80 120 tonnage 240,000 320,000 450,000 120,000 60,000 140,000
Find the initial basic feasible solution by (i) north west corner rule (ii) lowest cost entry method (iii) Vogel's approximation method of the following transportation problem: RIOTITIONS R1 R2 R3 R4 Requirement 3R Z1 5 3 6 4 21 Z2 1 8473 4 1 25 7-85-25- Z3 3 5 4 4 17 Z4 3 4 3 2 17 Capacity 34 15 12 19 80
Sports of All Sorts produces, distributes, and sells high-quality skateboards. Its supply chain consists of three factories (located in Detroit, Los Angeles, and Austin) that produce skateboards. The Detroit and Los Angeles facilities can produce 350 skateboards per week, but the Austin plant is larger and can produce up to 700 skateboards per week. Skateboards must be shipped from the factories to one of four distribution centers, or DCs (located in Iowa, Maryland, Idaho, and Arkansas). Each distribution center can process (repackage, mark for sale, and ship) at most 500 skateboards per week. Factory/DCs Detroit Los Angeles Austin 1 2 3 Retailers/DCs Just Sports Sports 'N Stuff Iowa The Sports Dude 25.00 35.00 40.00 8 9 4 1 Shipping Costs ($ per skateboard) Iowa 30.00 27.50 Maryland 30.00 25.00 4 45.00 40.00 Skateboards are then shipped from the distribution centers to retailers. Sports of All Sorts supplies three major U.S. retailers: Just Sports, Sports 'N Stuff, and The Sports…
TRANSPORTATION . Given the following transport. tion matrix where the numbers in the cells represent cost of transporting 1 unit from a specific source to a specific destination, determine the initial solution using the 3 methods and determine the optimum solution by using the initial solution with the lowest value of Z. 3 4 40 35| M M 20 30 From/To 5 6 Dummy | Supply 1 M 100 60 45 M 200 3 12 M 300 4 15 10 300 5 M M 15 300 Demand 300 300 300 | 150 150 1,200
An entrepreneurial resident of the Oklahoma City metropolitan area is interested in securing a new franchise for Mad Over Donuts. Ideally this franchise would be centrally located so delivery could be economically handled and all citizens could enjoy fresh, delicious donuts delivered to the doorstep. The main cities and anticipated demand (in thousands per day) are shown in Table 2. What is the appropriate (non-linear) objective function for this scenario (hint: distances are euclidean)? Zoey’s Catnip Toys faces the following relationship between price (p) and demand (v): v = 2000 − 200p. The fixed cost is $500 and variable cost is $1. Write an expression for the total profit. What price should Zoey charge to maximize profit in question b.?
Develop a network showing the origin nodes, destinations, arcs, cost per arc, supply, and demand. Match the correct answer to each question. Warehouse A B C D City E City F City G City H Warehouse Supply. 0.51 0.21 0.52 0.41 4000 Question 1 0.31 Question 2 0.56 0.43 0.35 0.41 0.28 City Demand 4,400 3,000 6,500 4,700 Match the correct answer to the following questions: 1. What is the supply constraint for Warehouse D? 2. What demand constraint for City H? 0.32 0.54 0.33 4000 0.54 0.34 0.52 6300 6000 [Choose ] [Choose ] > >
A company with a network of 10 pipelines transports mango juice according to the details shown in Table 1. Determine the maximum flow per hour. 1. Table/Jadual 1 Сарacity Node Node (m3/h) 140 100 120 100 120 80 110 100 100 100 Reverse Capacity |(m³/h) 60 20 40 40 40 20 30 40 60 60 Start End Pipeline 1 2 3 4 1 1 1 2 3 4 6 6 7 3 7 7 8 8 10
A company has a manufacturing plant that supply three markets in city A, B, and C. Management is looking for a place to locate a single distribution that will minimize total transportation costs. The plant is estimated to move (send) a total of shipment of 12,700 ton per month to the new distribution center. The transportation rate of moving shipment from the plant to the distribution center is $ 0.08 per ton per mile. Market A will receive a total shipment of 6,200 ton per month, market B will receive a total shipment of 2,000 ton per month, and market C will receive a total shipment of 4,500 ton per month. The transportation rate between the distribution center and the markets are as follows: $0.19 per ton per mile to market A, $0.37 per ton per mile to market B, and $0.25 per ton per mile to market C. The horizontal and vertical coordinates of the plants and markets are follows: Plant, 25, 75 Market A, 30, 5 Market B, 36, 24 Market C, 15, 40 Use the Center-of-Gravity method to find…
A logistics company plans to provide coal logistics transportation services to HY coal sales enterprise. HY coal sales enterprise has coal storage and sales points in B and D, with available coal quantities of 1600t and 8000t, respectively; A and C represents the locations of two coal users, with a demand of 8000t and 1600t respectively. The distribution of relevant locations and travel distances are shown in Figure 1. Based on the above conditions, try to calculate and explain from the perspective of transportation capacity consumption: How should logistics company HY plan transportation routes in order to make them more reasonable? (a transportation route planning scheme needs to be illustrated) . Note:The solution should not be hand written.
Destination Destination Destination Supply Source 1 75 8 320 Source 2 6 160 13120 4. Source 3 6.5 Demand 160 200 240 Based on the transportation table shown, total transportation cost using North- West Corner Method will be: a. 3040 Ob. 4100 O c. 2640 O d. 1920
Microserve provides computer repair service on a contract basis to customers in five sections of the city. The five sections, the number of service contracts in each section, and the x and y coordinates of each section are as follows: No. of Coordinates Section Contracts x y Parkview 70 5.2 8.3 Mt. Airy 200 3.6 3.0 Valley 70 13.6 7.2 Norwood 300 15.1 4.0 Southgate 170 13.8 8.7 Use the center-of-gravity method to determine an ideal location for a service center. Round your answers to two decimal places. Cx: ____________Cy: ____________ A supply chain manager faced with choosing among four possible locations has assessed each location according to the following criteria, where the weights reflect the importance of the criteria. Location Criteria Weight 1 2 3 4 Raw material availability 0.06 P VG OK VG Infrastructute 0.07 P G VG OK Transportation costs 0.33 G P OK P Labor relations 0.25 VG G…

SEE MORE QUESTIONS

Recommended textbooks for you

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

Practical Management Science

Operations Management

ISBN:

9781337406659

Author:

WINSTON, Wayne L.

Publisher:

Cengage,

SEE MORE TEXTBOOKS

Solve the transportation problem (with cost coefficients): To A В C Factory Capacity 100 From $5 $8 $9 $4 $4 $7 $3 $3 $5 D 300 300 Warehouse 300 200 200 700 Requirements (i) (ii) Find an initial solution using the northwest corner rule. Find the optimal solution using the any appropriate method..