Classwork $8$

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 $\backslash$ 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.