$\backslash$table$[[R,$Gloves Standard,$260\mathrm{.}000,0\mathrm{.}000,5\mathrm{.}000,7\mathrm{.}000,1\mathrm{.}000],[C,$Gloves Deluxe,$270\mathrm{.}000,0\mathrm{.}000,8\mathrm{.}000,2\mathrm{.}000,4\mathrm{.}667]]$

Constraints

$\backslash$table$[[$Constraint Number,Name,$\backslash$table$[[$Final$],[$Value$]],$Shadow Price,Constraint R$.$H$.$ Side,$\backslash$table$[[$Allowable$],[$Increase$]],\backslash$table$[[$Allowable$],[$Decrease$]]],[1,$Cutting and Dyeing Hours Used,$665\mathrm{.}000,0\mathrm{.}000,800\mathrm{.}000,1$E$+30,135\mathrm{.}000],[2,-$ Finishing Hours Used,$220\mathrm{.}000,3\mathrm{.}000,220\mathrm{.}000,180\mathrm{.}000,86\mathrm{.}667],[3,$Packaging and Shipping Hours Used,$100\mathrm{.}000,28\mathrm{.}000,100\mathrm{.}000,27\mathrm{.}000,45\mathrm{.}000]]$

$($a$)$ Determine the objective coefficient ranges. $($Round your answers to two decimal places.$)$

regular glove to

catcher's mitt to

$($b$)$ Interpret the ranges in part $($a$).($Round your answers to two decimal places.$)$

As long as the profit contribution for the regular glove is between $ and $ $$ the current solution $$ optimal. As long as the pr contribution for the catcher's mitt is between $ $$ and $\sqrt[\phantom{2}]{},$ the current solution $$ optimal.

$($c$)$ Interpret the right$-$hand$-$side ranges.

The shadow prices for the resources are applicable over the following ranges. $($If there is no upper or lower limit$,$ enter NO LIMIT. Round your answers to two decimal pla cutting and sewing to $$ finishing $$ to $$ packaging and shipping $$ to $$