Check if above solution is optimal or not. If not,

Perform the transportation simplex algorithm. (THE LOOP METHOD) (would prefer not to use excel solver)

Please show all the steps and the complete answer. Thanks in advance.

Source 1 2 3 4 5 Supply 1 61 (16.5) 72 (6) 45 55 66 22.5 2 69 78 (12) 60 (13.5) 49 (4.5) 56 30 3 59 66 63 61 (10.5) 47 (12) 22.5 Demand 16.5 18 13.5 15 12 75 ence, the minimum total transportation cost (or the IBF): (61*16.5) + (72*6) + (78*12) + (60*13.5) + (49*4.5) + (61*10.5) + (47*12) = 4609.5