Solve the transportation modelling problem using the North-West Corner method and Lowest cost method.

Northwest-Corner Rule: Start in the upper left-hand cell (or northwest corner) of the table and allocate units to shipping routes as follows: 1. Exhaust the supply (factory capacity) of each row before moving down to the next row 2. Exhaust the (warehouse) requirements of each column before moving to the next column 3. Check to ensure that all supplies and demands are met

Lowest-Cost Method: 1.Identify the cell with the lowest cost 2.Allocate as many units as possible to that cell without exceeding supply or demand; then cross out the row or column (or both) that is exhausted by this assignment 3.Find the cell with the lowest cost from the remaining cells 4.Repeat steps 2 and 3 until all units have been allocated

\begin{tabular}{c|c|c|c|c|c} From| To & Hamilto & Toront & Waterlo & Londo n & Capacit y \\ \hline Kitchene r & $4 & $6 & $2 & $5 & 400 \\ \hline Guelph & $7 & $5 & $4 & $6 & 200 \\ \hline Brampto n & $6 & $2 & $7 & $4 & 500 \\ \hline Demand & 300 & 500 & 100 & 200 & \\ \hline \end{tabular}