A transportation problem involves the following costs, supply, and demand. To From 1 23 4 Supply 1 $500 $750 $300 $450 12 2 650 800 400 600 17 3 400 700 500 550 11 Demand 10 10 10 10 a. Find the initial solution using the northwest corner method, the minimum cell cost method, and Vogel’s approximation model. Compute total cost for each. b. Using the VAM initial solution, find the optimal solution using the modified distribution method (MODI).