Consider the following network representation of a transportation problem.Let60Min30JeffersonCityOmaha159881124Des MoinesX11 = amount shipped from Jefferson City to Des MoinesX12 = amount shipped from Jefferson City to Kansas CityX13 = amount shipped from Jefferson City to St. LouisX21 = amount shipped from Omaha to Des MoinesX22 = amount shipped from Omaha to Kansas CityX23 = amount shipped from Omaha to St. Louis+8x21 +11x2215x11+9x12 + 8x13KansasCitySt. LouisSuppliesThe 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.+24x23252045Demands X11 amount shipped from Jefferson City to Des MoinesX12 = amount shipped from Jefferson City to Kansas CityX13 amount shipped from Jefferson City to St. LouisX21 amount shipped from Omaha to Des MoinesX22 = amount shipped from Omaha to Kansas CityX23 = amount shipped from Omaha to St. Louis15x11 + 9x12 +8x13 + 8x21 +11x22 +24x23Mins.t.From Jefferson City *11+x12 +13 ≤ 60From OmahaTo Des MoinesTo Kansas CityTo St. LouisX21 +22+x23 ≤ 30*11+x21 = 25*12+x22X11*12*131X211*221 Х23 2.0(b) Solve the linear program to determine the optimal solution.AmountCostJefferson City-Des MoinesJefferson City-Kansas CityJefferson City-St. LouisOmaha-Des Moines*13+x23=45Omaha-Kansas CityOmaha-St. Louis= 20Total

Answered: Consider the following network…

Management, Loose-Leaf Version

13th Edition

ISBN:9781305969308

Author:Richard L. Daft

Publisher:Richard L. Daft

Chapter4: Managing In A Global Environment

Section: Chapter Questions

Problem 1SGB

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