PLEASE ANSWER PART $B$ THANK YOU!!

Consider the following network representation $of$ a transportation problem.

The 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.

Let

$x_{11}=$ amount shipped from Jefferson City $to$ Des Moines

$x_{12}=$ amount shipped from Jefferson City $to$ Kansas City

$x_{13}=$ amount shipped from Jefferson City $toSt.$ Louis

$x_{21}=$ amount shipped from Omaha $to$ Des Moines

$x_{22}=$ amount shipped from Omaha $to$ Kansas City

$x_{23}=$ amount shipped from Omaha $toSt.$ Louis

Min

$s.t.$

From Jefferson City

From Omaha

$To$ Des Moines

$To$ Kansas City

$ToSt.$ Louis

$x_{{11}^{\text{'}}}{x}_{{12}^{\text{'}}}{x}_{{13}^{\text{'}}}{x}_{{21}^{\text{'}}},x_{{22}^{\text{'}}}{x}_{23}0$

$(b)$ Solve the linear program $to$ determine the optimal solution.