Variable Cells

$\backslash$table$[[$Cell$,$Name,$\backslash$table$[[$Final$],[$Value$]],\backslash$table$[[$Reduced$],[$Cost$]],\backslash$table$[[$Objective$],[$Coefficient$]],\backslash$table$[[$Allowable$],[$Increase$]],\backslash$table$[[$Allowable$],[$Decrease$]]],[c$$$4,$X$1,6,0,1,0\mathrm{.}5,0\mathrm{.}333333333],[$D$$4,x2,6,0,1,0\mathrm{.}5,0\mathrm{.}333333333]]$

Constraints

$\backslash$table$[[$Cell$,$Name,$\backslash$table$[[$Final$],[$Value$]],\backslash$table$[[$Shadow$],[$Price$]],\backslash$table$[[$Constraint$],[$R$.$H$.$ Side$]],\backslash$table$[[$Allowable$],[$Increase$]],\backslash$table$[[$Allowable$],[$Decrease$]]],[$$E$$8,,30,0\mathrm{.}2,30,15,10],[$$E$$9,,30,0\mathrm{.}2,30,15,10]]$

$(1)$ What is the current optimal solution? What is the current optimal objective value?

$(2)$ What is the new optimal objective value $($z$)$ if the right$-$hand$-$side coefficient of the first constraint $($b$1)$ changes to $35?$

$(3)$ What is the new optimal objective value $(z)$ if the right$-$hand$-$side coefficient of the second constraint $($b$2)$ changes to $28?$

$(4)$ For what range of the objective coefficient of X$1($c$1)$ does the current optimal solution remain optimal?

$(5)$ If the objective coefficient of X$2($c$2)$ changes to $0\mathrm{.}75,$ find the new optimal solution $(x1,x2)$ and the new optimal objective value $($z$).$