Table $3\mathrm{.}1$: Regular & Super

Consider the following linear program, which maximizes profit for two products$--$regular $($R$)$ and super $($S$)$:

MAX $50R+75S$

$s.t.$

$1\mathrm{.}2R+1\mathrm{.}6S600$ assembly $(hours)$

$0\mathrm{.}8R+0\mathrm{.}5S300$ paint $(hours)$

$\mathrm{.}16R+0\mathrm{.}4S100$ inspection $(hours)$

Sensitivity Report:

$\backslash$table$[[$Cell$,$Name,$\backslash$table$[[$Final$],[$Value$]],\backslash$table$[[$Reduced$],[$Cost$]],\backslash$table$[[$Objective$],[$Coefficient$]],\backslash$table$[[$Allowable$],[$Increase$]],\backslash$table$[[$Allowable$],[$Decrease$]]],[$$$B$$$7,$Regular $=,291\mathrm{.}67,0\mathrm{.}00,50,70,20],[$$$C$$$7,$Super $=,133\mathrm{.}33,0\mathrm{.}00,75,50,43\mathrm{.}75],[,,,,,,],[,,$Final,Shadow,Constraint,Allowable,Allowable$],[$Cell$,$Name,Value,Price,R$.$H$.$ Side,Increase,Decrease$],[$$$E$$$3,$Assembly $($hr$/$unit$),563\mathrm{.}33,0\mathrm{.}00,600,1E+30,36\mathrm{.}67],[$$$E$$$4,$Paint $($hr$/$unit$),300\mathrm{.}00,33\mathrm{.}33,300,39\mathrm{.}29,175],[$$E$$5,$Inspect $($hr$/$unit$),100\mathrm{.}00,145\mathrm{.}83,100,12\mathrm{.}94,40]]$

The optimal number of regular products to produce i $,$ and the optimal number of super products to produce is for total profits of $($round to two decimal places, e$.$g$.,$ $$1\mathrm{.}01).$