During the war in Iraq large amounts of military material and supplies had to be shipped daily from supply depots in the United Sates to bases in the Middle East. The critical factor in the movement of these supplies was speed. The following table shows the number of planeloads of supplies available each day from each of six supply depots and the number of daily loads demanded at each of five bases. (Each planeload is approximately equal in tonnage.) Also included in the table are the transport hours per plane (where transport hours include loading and fuelling time, actual flight time, and unloading and refuelling times). The objective is to determine the daily flight schedule that will minimize the transport time.

	Military Base					Supply
Supply Depot	A	B	C	D	E
1	36	40	32	43	29	8
2	28	27	29	40	38	12
3	34	35	41	29	31	7
4	41	42	35	27	36	10
5	25	28	40	34	38	9
6	31	30	43	38	40	6
Demand	9	6	12	8	10

a. Determine the initial feasible solution using : i. Least Cost Method (LCM) ii. Vogels Approximation Method. b. Determine the optimal daily flight schedule that will minimize total transport time using Stepping Stone Method, and compute the total minimum transport time of the optimal assignment