|×23X22X13X21 +X11X12 +Mins.t.X12X13X22X23+X11X21X21X22X11X23X12X13X11 X12' X13 X21• X22' X23 2 0(b) Solve the linear program to determine the optimal solution.CostAmountJefferson City-Des MoinesJefferson City-Kansas CityJefferson City-St. LouisOmaha-Des MoinesOmaha-Kansas CityOmaha-St. LouisTotalVIVII|||++ Consider the following network representation of a transportation problem.25Des Moines14Jefferson40City8Kansas15City81125Omaha2425St. LouisSuppliesDemandsThe supplies, demands, and transportation costs per unit are shown on the network.(a) Develop a linear programming model for this problem; be sure to define the variables in your model.

Suppose the no. of products transported from Jefferson City to Des Moines be x11 and so on. We take…

Answered: Consider the following network…

Practical Management Science

6th Edition

ISBN:9781337406659

Author:WINSTON, Wayne L.

Publisher:WINSTON, Wayne L.

Chapter2: Introduction To Spreadsheet Modeling

Section: Chapter Questions

Problem 20P: Julie James is opening a lemonade stand. She believes the fixed cost per week of running the stand...

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Cutey Barber Salon Cutey Barber Salon is a trendy barber salon that is located in a densely populated city called Maple. Demand for the services offered by the salon is fairly high. It offers services such as haircuts, hair styling, scalp massaging and conditioning treatment, straight razor and wet shave, beard sculpting, facials and hair colouring. In addition to these services provided, the salon sells premium hair products to customers. The salon has the ability to produce a maximum of 20,000 haircuts and hairstyling per year. Demand for haircuts and hairstyling over the last five years can be seen in the following table:- Year Demand for haircuts and hairstyling 2017 11,500 2018 12,200 2019 13,400 2020 14,000 2021 14,500 Although the business does not have a written vision and mission statement, it is clear in the minds of management what they want to achieve and what they would like to be in the future. Currently, customers can walk in at…
Cutey Barber SalonCutey Barber Salon is a trendy barber salon that is located in a densely populated city called Maple.Demand for the services offered by the salon is fairly high. It offers services such as haircuts, hairstyling, scalp massaging and conditioning treatment, straight razor and wet shave, beard sculpting,facials and hair colouring. In addition to these services provided, the salon sells premium hair productsto customers. The salon has the ability to produce a maximum of 20,000 haircuts and hairstyling peryear. Demand for haircuts and hairstyling over the last five years can be seen in the following table:-Year Demand for haircutsand hairstyling2017 11,5002018 12,2002019 13,4002020 14,0002021 14,500Although the business does not have a written vision and mission statement, it is clear in the minds ofmanagement what they want to achieve and what they would like to be in the future.Currently, customers can walk in at anytime to be served. At times, customers have to wait in…
please answerrrrr
e. Use VAM to obtain the initial solution for the transportation model below: Minimize Z = (21x11 +16x12 + 25.x13 +13x14) + (17x21 +18x22 +14x23 + 23x24) + (32x31 + 27x32 +18x33 +41x34) Subject to Capacity constraints X11 + X12 + x13 + x14 =11 Requirement constraints X11 +x21 + X31 = 6 X21 +x22 +x23 +x24 = 13 X12 +x22 +x32 = 10 X31 + X32 + X33 +X34 = 19 X13 + x23 +X33 = 12 X14 +x24 +x34 = 15 and *i 2 0, for all i = 1,2,3,4 ;j=1,2,3
Explain how to determine the number of variables and constraints that would be in a transportation problem simplyby knowing the number of sources and the number of destinations.
Please refer to the attached file:
TRANSPORTATION PROBLEM The freight cost for each shipment is $100 plus 50 cents per mile. How much should be shipped from each plant to each of the distribution centers to minimize the total shipping costs? Use Northwest Corner Cell Method, Least Cost Cell Method and VAM in solving for the optimal solution.
Solve the following problem: The Krampf Lines railway company specializes in coal handling. On Saturday, Krampf had empty cars at the following towns in the quantities indicated: Town Supply of cars Morgantown 35 Youngstown 60 Pitsburg 25 By Monday, the following towns will need cars as follows: Town Demand for cars Coal Valley 30 Coal town 45 Coal junction 25 Coalsburg 20 The result is shown in the table below. To From Coal Valley Coal town Coal junction Coalsburg Morgantown 50 30 60 70 Youngstown 20 80 10 90 Pitsburg 100 40 80 30 Required: Minimize total miles over which cars are moved to new locations regarding the following: Formulate as a linear programming. Use North-West corner method to obtain the total shipment cost of coal cars.

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