The supplies, demands, and transportation costs per unit are shown on the network. The optimal $($cost minimizing$)$ distribution plan is given below. $($Assume 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 to St$.$ Louis, x$21=$ amount shipped from Omaha to Des Moines, x$22=$ amount shipped from Omaha to Kansas City, and x$23=$ amount shipped from Omaha to St$.$ Louis.$)$

Des Moines Kansas City St$.$ Louis Supply

Jefferson City $3804684$

Omaha $2351074$

Demand $615146$

Use the procedure described in Section $12\mathrm{.}7$ to try to find an alternative optimal solutio