Question: Develop a linear programming model for this problem; be sure to define the variables in your model. Let x 11 = amount shipped from Jefferson

Develop a linear programming model for this problem; be sure to define the variables in your model.

Let

x₁₁ = amount shipped from Jefferson City to Des Moines
x₁₂ = amount shipped from Jefferson City to Kansas City
x₁₃ = amount shipped from Jefferson City to St. Louis
x₂₁ = amount shipped from Omaha to Des Moines
x₂₂ = amount shipped from Omaha to Kansas City
x₂₃ = amount shipped from Omaha to St. Louis

Min

16x11+9x12+8x13+8x21+11x22+25x23

s.t.From Jefferson City

x11+x12+x1350

From Omaha

x21+x22+x2330

To Des Moines

To Kansas City

To St. Louis

x₁₁, x₁₂, x₁₃, x₂₁, x₂₂, x₂₃ 0

(b)

Solve the linear program to determi

Develop a linear programming model for this problem; be sure to

define the variables in your model. Let x11 = amount shipped from

Jefferson City to Des Moines x12 = amount shipped from Jefferson City

to Kansas City x13 = amount shipped from Jefferson City to St.

Consider the following network representation of a transportation problem. A network diagrom between five locitions is shown. the left-hwed side of the greph ia labeled and lists Des Maines, Kancas City, and St. Lous. Unes are shown between vanocis lorfthonis. The folianing list contains the numbers placed on the graph. - Jefersan Cityi 50 . Jefferion City-Des Maines: 16. Omaha-Des Moinen. 8 - Omaho: 20 - Jefferson City-kinsar City 9 . Omaha-kansss oty 11 - Des Moines: 20 - Jeffersos city-5t Loula: 8 - Omaha-5t- Louis: 25 - Kanses Cityi 10 - 5t. Louis 50 Consider the following netwock repiesentation of a transportation problem. The supplies, demands, and tranaportation costs per unit are shown on the network. (a) Develog a linear programming model for this problems be sure to define the variables in your model. The supplies, demands, and trantgortation couts per unt are shown on the netware. (A) Develop a linaly programming model for this problem; be sure to define the varibbies int your model. tre x11 = amount shipped frons Jefferson Oty to Des Moines x32= arnount thloped from kefferson Cty bo kansas City x13= ameunt shicoed frem lefferson cty te st. Leuli x21= amount shipped frem Crahe to Des Moines 322 = ameunt shieged frert Creahe to Karkas City 23 23 amount thieged from Grahe to 5 t. Louls Min 16x11+9x12+8x13+8x21+11x22+25x23 s.t. Frem Dnahi x21+x22+x+2930 to Des Moines x11+x +al =20 Ta kansas city x12+x22=10 To. St. Lquis x12x1213+x21x22x230 (b) Solve the linear peogram to determine the sptral solution. Frown fenternat dip rrom Dmahe To Des Moines Ty Kansas Ctry Ta st. Lauh b) Solve ike livele program to deteimine than sotimal solution

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