Questions:

$1.$ What $is$ the optimal solution? What are the values $of$ the decision variables?

$2.$ What are the basic variables? Non basic variables?

$3.$ What are the binding constraints? Non$-$binding constraints?

$4.$ What are the slacks?

$5.$ What $is$ the range $of$ optimality for the coefficient $of$ the first variable?

$6.If$ the coefficient $ofx2is$ changed from $30to33.$ How does the optimal solution change?

$7.If$ the coefficient $ofx2is$ changed from $30to25.$ How does the optimal solution change?

$8.If$ the coefficient $ofx1is$ changed from $60to61.$ How does the optimal solution change?

$9.If$ the coefficient $ofx3is$ changed from $20to23.$ How does the optimal solution change?

$10.If$ the $RHSof$ the first constraint $is$ changed from $48to52.$ How does the optimal solution change?

$11.If$ the $RHSof$ the first constraint $is$ changed from $48to20.$ How does the optimal solution change?

$12.If$ the $RHSof$ the second constraint $is$ changed from $20to21.$ How does the optimal solution change?

$13.If$ the $RHSof$ the second constraint $is$ changed from $20to25.$ How does the optimal solution change?

$14.If$ the $RHSof$ the third constraint $is$ changed from $8to9.$ How does the optimal solution change?

$15.If$ the $RHSof$ the third constraint $is$ changed from $8to9$ and the $RHSof$ the second constraint decreased $by2at$ the same time, how would these changes affect the optimal solution?