Questions $25$ and $26$ are based on the linear program for the Profit & Gambit Co$.$ advertising problem we introduced in Chapter $2.$

The following summarizes the formulation and the sensitivity report.

$\backslash$table$[[\backslash$table$[[$Minimize$],[$subject to$]],C=$$$1TV+$$$2PM,$Variable Cells$],[$Cell Name,$\backslash$table$[[$Final$],[$Va$/$ue$]],\backslash$table$[[$Reduced$],[$Cost$]],\backslash$table$[[$Objective$],[$Coefficient$]],\backslash$table$[[$Allowable$],[$Increase$]],\backslash$table$[[$Allowable$],[$Decrease$]]],[PM=,\backslash$table$[[$$C$$14$ Advertising Units Television$],[$$D$$14$ Advertising Units Print Media$]],\backslash$table$[[4],[3]],\frac{0}{0},,\frac{2}{1E+30},1\mathrm{.}333333333],[$and$,3TV+2PM18,$Constraints,,,,,$],[-TV+4PM4,\backslash$table$[[$Cell$,$Name$],[$$E$$8,$Stain Remover Sales$]],\backslash$table$[[\backslash$table$[[$Final$],[$Value$]]],[0\mathrm{.}03]],\backslash$table$[[\backslash$table$[[$Shadow$],[$Price$]]],[133\mathrm{.}3333333]],\backslash$table$[[\backslash$table$[[$Constraint$],[$R$.$H$.$ Side$]]],[0\mathrm{.}03]],\backslash$table$[[\backslash$table$[[$Allowable$],[$Increase$]]],[0\mathrm{.}06]],\backslash$table$[[\backslash$table$[[$Allowable$],[$Decrease$]]],[0\mathrm{.}008571429]]],[TV0,PM0,$$E$$9$ Liquid Detergent Sales,$0\mathrm{.}18,33\mathrm{.}33333333,0\mathrm{.}18,0\mathrm{.}12,0\mathrm{.}12],[,$$E$$10$ Powder Detergent Sales,$0\mathrm{.}08,0,0\mathrm{.}04,0\mathrm{.}04,1E+30$