$(25$ pts$.)$

After many years, Wiglaf has extended his product line to produce helmets. His team now produces helmets, chain mail and plate armor. Every product requires steel, fabric and labor. Wiglaf has formulated the following LP and sensitivity report to help answer some questions about his smithing business. Due to technological advancements and optimization efforts, numbers have changed over the years.

Answer the following questions as specifically and completely as is possible without resolving the problem. Justify your answers using the results from the following sensitivity report only.

$\backslash$table$[[,$Helmets,Chain,Plate,,,,,,,,,,$],[$Production$,20,0,4,,,$Total Profit,,,,,,,$],[$Profit per Unit,$$30,$$$45,$$$75,,,$$$900,,,,,,,],[,,,,,,,,,,,,,],[$Resources$,$Resources per Unit,Total,,Available$],[$Steel $($lb$),2,2\mathrm{.}5,9,76,,80,,,,,,,],[$Fabric $($lb$),2,4,2,48,,48,,,,,,,],[$Labor $($hr$),8,20,40,320,,320,,,,,,,],[$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$]]],[$$B$$2,$Production Helmets,$20,0,30,45,11],[C$$$2,$Production Chain,$0,-20\mathrm{.}625,45,20\mathrm{.}625,1E+30$