in this tutorial I'm going to use the northwest corner method to find the initial basic feasible solution of the transportation problem and that is a three sources F1 F2 and F3 four destinations a b c enter d what you are having there what is in those are small squares there like the 60 is indicating that the cost of transportation from Source F1 to destination a for one single unit is a six it's uh indicating that um Source F1 is a supply capacity over 30. and then at the bottom there where the demand is indicating that a destination a is a demand over 35. so now to find out this initial basic feasible solution using the northwest corner method we start by looking at the top left enter cell this one here and what we do we check at the supply and then the demand and we look at the minimum of those two that I have highlighted in yellow there the 30 and the 35. the minimum there is a 30. so that means we can allocate in that cell the cell in green we can allocate 30 units there so we allocate 30. but the moment we allocate the 30 units there that means for Source F1 we have already exhausted its Supply capacity so we can no longer allocate anything else in the other sales there so I would have to cross them out indicating that we can no longer allocate anything because if we allocate anything in that row it will exceed the supply or Source F1 so we can no longer allocate so I close them out and since we can no longer allocate in that row we now move on to the second row and for that row what to Dev to look at is this one here for F2 to a we look at the supply it is the supply capacity of 40 and our demand there for Destination a is 35. but when you're looking at the demand there but in this column we've already allocated a 30 so to see how much we can allocate there would have to subtract the 30 from the total demand for the destination so to be 35 minus 30 which gives us a 5. and then we take the minimum of the 5 and the 40 and we see that the minimum a is F5 so what you have to do is we have to allocate A5 here and when you allocate a 5 the total there for data column where we have the a it now brings us to 35 so that means we have reached the demand for Destination a and if we have reached that demand that means we can no longer allocate anything in that uh column there where we have destination a so I will cross it out what we have to do now we have to move to the next cell which is now moving to the next column where we have to be there and uh we are looking at this one F2 to B we look at the supply the 40 the demand the 28. but to see how much you can allocate there when you are looking at the supply side we are having a 40 but in this row we have already allocated the five so when you are looking at the raw constraints the supply constraints what you have to allocate it to be 40 minus the 5 which gives us a 35. then when you look at the demand the demand the maximum that we can allocate is a 28. so we now look at uh the minimum of the 28 and 35 which gives us a 28 there so we allocate 28 and that's so at the moment we allocate 2018 but so that means we have uh we reached the demand requirements or destination B we can no longer allocate anything in that row we have reached the 28 so I'll close it out to indicate we can no longer allocate in that column we now have to move on to the next cell which is this one F2 to C or f22c we are looking at the supply the 40 but when you are looking at the supply we should not forget that we have already allocated 5 and 28. so in terms of Supply what we have to look at is 40 minus 5 minus 28 then consider it with the minimum offer a pet 2 for the demand there and the minimum that we get there is a seven because if we say 40 minus uh 5 minus 28 it is as a seven and then the minimum of seven and the page two it gives us the seven days over so we have to allocate seven units there and the moment when we allocate seven that means for the supply constraint with F5 plus 28 plus 7 which gives us a forty so we can no longer allocate anything in that row so I have there to cross out or the f2d there we now move on to the next possible cell is now this cell F3 to destination C and we have to consider the supply the 50 but the demand is a 32 but you have to take note we have already allocated a seven there so when we are looking at the demand what we have to allocate there is a 32-7 and it will give us a 25 so we look at the minimum of the 25 when you're looking at the demand and the supply we're having a 50. so 50 and 25 the minimum is a 25 we have to allocate 25 in that cell then we move on to the last sale on the F3 G there this one here so we have to look at the supply there is a 50 and for the demand is a 25 but when you're looking at the supply of data row or radius at 25. so what would you have to allocate the a to be 50 minus 25 which is as a 25 and when you're looking at the demand maximum possible that we can allocate there is a 25 so we go on and allocate 25 units there so when you have finished doing the allocations we can now go on enter interpret water data Transportation table is saying so we have the destination the allocation and the cost what you are saying there is the date there one uh the destination F1 to a is indicating that we are allocating Petty units there at a unit cost of six if one unit costs six dollars to transport and you are transporting 30 of them the total cost there will be 30 times 6 which gives us 180. for Destination F2 to a we are having five units and each unit they cost five dollars to transport so if I have in five to five of them it would be five times five to get the cost which gives us 25. for Destination F2 to B we are saying we are allocating 28 units 28 units at a unit cost of 11 so the cost there will be 28 times 11 which gives us 308. for Destination F2 to see we are having there seven units seven units at a unit cost of nine so when the cost to be 7 times 9 which gives us the 63. and for the next one the destination F3 to C we are having there 25 units 25 units at a unit cost of seven so the cost will be 25 times 7 which gives us a 175. and lastly we are looking at a destination F3 to D we are allocating 25 units at a unit cost of 18. for the total cost there will be 25 times 18 which gives us 300 yenda 25. foreign and we get that the cost a is a 1076. so for the initial basic feasible solution we have those allocations which are appearing in the table which gives us of the total cost of 1000 and 76.