$4\mathrm{.}8-3.$ Reconsider Prob. $4\mathrm{.}6-2.$

$($a$)$ Afterteformulating the problem appropriately to use the BigM method, construct the complete first simplex tableau for the simplex method and identify the corresponding initial $($artificial$)$ BF solution. Also identify the initial entering basic variable and the leaving basic variable.

I $($b$)$ Work through the simplex method step by step to solve the problem.