Find the Initial Basic Feasible solution using VAM of the given transportation cost matrix. Also find minimum transportation cost using MODI Method: $(4+6=10$ Marks$)$

DESTINATION

SOURCE

D$1$

$21$

D$2$

$16$

D$3$ D$4$

$25$

$13$

Supply

$11$

S$1$

S$2$

$17$

$18$

$14$

$23$

$13$

$32$

$6$

$27$

$18$

$41$

S$3$

$10$

$12$

$19$

Demand

$15$