Using the transportation matrices below.

First, solve the transportation problem using the Intuitive Least$-$Cost method.

Then, use the Northwest Corner method to get a feasible starting solution, and apply the Stepping$-$Stone method to find the optimal solution.

Please show all calculations $($e$.$g$.,$ total transportation costs, improvement indices$).$

Intuitive Least$-$Cost Method

Store $1$ Store $2$ Inventory Capacity

$1513$

Warehouse $127$

$1312$

Warehouse $266$

Demands $553893$

Northwest Corner Method

Store $1$ Store $2$ Inventory Capacity

$1513$

Warehouse $127$

$1312$

Warehouse $266$

Demands $553893$

Stepping$-$Stone Method

Store $1$ Store $2$ Inventory Capacity

$1513$

Warehouse $127$

$1312$

Warehouse $266$

Demands $553893$

Store $1$ Store $2$ Inventory Capacity

$1513$

Warehouse $127$

$1312$

Warehouse $266$

Demands $553893$