Given the following data for a transportation problem, create an initial feasible solution to the transportation problem using the northwest corner rule. Then, calculate all the improvement indices. Is this solution optimal?

From \ To	A	B	C	Supply
1	$10	$4	$11	70
2	12	5	8	50
3	9	7	6	30
Demand	40	50	60	150

Select one:

a. 1 to A = 40 | 1 to B = 30 | 2 to B = 20 | 2 to C = 30 | 3 to C = 30 | Optimal solution

b. 1 to A = 30 | 1 to B = 40 | 2 to A = 10 | 2 to B = 10 | 2 to C = 30 | 3 to C = 30 | Optimal solution

c. 1 to A = 40 | 1 to C = 30 | 2 to B = 50 | 3 to C = 30 | Optimal solution

d. 1 to A = 40 | 1 to B = 30 | 2 to B = 20 | 2 to C = 30 | 3 to C = 30 | Not optimal solution

e. 1 to A = 30 | 1 to B = 40 | 2 to A = 10 | 2 to B = 10 | 2 to C = 30 | 3 to C = 30 | Not optimal solution

f. 1 to A = 40 | 1 to C = 30 | 2 to B = 50 | 3 to C = 30 | Not optimal solution

g. None of the options provided.