Consider the given balanced transportation tableau given in Table $1.$

Table $1.$

a$)$ If the numbers in cells are profit coefficients, then Use Minimum Cost Method

to find an initial bfs $($basic feasible solution$).($Max $z=$ Min $-z$ pts$)$

b$)$ Apply transportation simplex algorithm to find the optimum solution $($use initial

bfs you found in $($a$)).$ Report the values of basic variables and objective

function value $(15pts).$