d$)$ Matahari Sdn$.$ Bhd$.$ has $5$ retail shops $($namely A$,$ B$,$ C$,$ D$,$ and E$)$ with a total of $300$ sales

associates. Currently, the number of sales associates that artached to retail shop A$,$ B$,$ C$,$ D$,$

and $E$ are $50,60,55,65,$ and $70$ respectively. During a peak season, the company need to

shuffle its $300$ sales associates among the $5$ retail shops to cover necessary demands $($i$.$e$.,$

sales associates from one shop may need to work at other shop$).$ However, the shuffling

will cost the company a transportation allowance that need to be given to the sales

associates. Table Q$3$d listed the transportation allowances $($e$.$g$.,$ transferring sales associate

from shop A to B or from B to A will cost the company RM$18/$person$.$ Note that, there is

no transfer should be made between$-$shep B and E because of unfamiliarity of the job.

During the peak season, the number of sales associates need for shop $A,B,C,D,$ and $E$ are

$80,40,50,30,$ and $90$ respectively.

i$.$ Construct the transportation tableau for this problem.

ii$.$ Use minimum cost method to find the initial feasible solution.

iii. Based on the initial feasible solution, calculate the total transportation allowance?

iv$.$ Based on the initial feasible solution, during that peak season, which shop will have

sales associates more than it needs? Justify your answer.

Table Q$3$d