For the following transportation problem, find an initial basic feasib

Question

For the following transportation problem, find an initial basic feasible solution by North-West Corner method.

Factory	Ware house	$W_1$	$W_2$	$W_2$	Availability
$F_1$		16	20	12	200
$F_2$		14	8	18	160
$F_3$		26	24	16	90
Demand		180	120	150

Starting from the solution obtained by North-West Corner method, find an optimal solution and the optimal transportation cost.

10 Mar 2024

Answer :

Word Count : 533

To solve the given transportation problem using the North-West Corner method and then find the optimal solution, we need to follow these steps:

Step 1: Find an initial basic feasible solution using the North-West Corner method.

Supply
Demand | 16 20 12 20 01 48 18 16 02 62 41 69 | Total
-------+-----------------------------------------------+------
180 | 16 20 12 20 01 11 = 180 | 180
120 | 37 18 16 02 47 = 120 | 120
150 | 41 28 = 150 | 150
-------+-----------------------------------------------+------
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