Question $1$

Waja Steel Sdn Bhd owns steel mills in three cities, A B and C with the capacity to

produce the amounts of steel as shown in TABLE Q$1$a$.$ These mills supply steel to

three cities, $x,Y$ and Z $,$ for the construction sector and the average demands as shown

in TABLE Q$1$b$.$ Shipping costs per ton of steel to the three cities are shown in TABLE

Q$1$c$.$

TABLE Q$1$a

TABLE Q$1$b

TABLE Q$1$c

a$.$ Develop a transportation matrix for the problem.

$[6$ marks$]$

b$.$ Evaluate feasible solutions for the problem using the northwest$-$corner method

and the intuitive lowest cost approach.

c$.$ Propose the optimal solution based on the feasible solution from northwest$-$

corner method.