Consider the following cost matrix for a transportation problem in

which the objective is to minimize the total transportation cost.

Source $1234$ Supply

$1694720$

$2325640$

$3482315$

Demand $10251525$

$($a$)$ Set up the transportation tableau and find an initial

basic feasible solution.

$($b$)$ Beginning with the initial basic feasible solution in part

$($a$),$ solve the problem using the transportation algorithm