You work for the Brad's Nailer Company which manufactures two types of nailers: a pneumatic model and a cordless model. You have contracted to supply a national retail chain with both pneumatic nailers and cordless nailers. However, Brad's nailer production capability is limited in three departments: production, testing, and packaging. Your answer will be the testing hours needed to execute a production plan that minimizes costs $-$ rounded to the nearest whole hour. $($The number of nailers must be a whole number.$)$

Use Scenario $1$

$\backslash$table$[[,$Scenario $1,$Scenario $2,$Scenario $3],[$Pneum$.$ Cost,$69\mathrm{.}14,55\mathrm{.}50,38\mathrm{.}50],[$Pneum$.$ Prod Hrs$,0\mathrm{.}75,0\mathrm{.}6,0\mathrm{.}35],[$Pneum$.$ Test Hrs$,0\mathrm{.}4,0\mathrm{.}35,0\mathrm{.}4],[$Pneum$.$ Pkg Hrs$,0\mathrm{.}1,0\mathrm{.}2,0\mathrm{.}1],[$Pneum$.$ Sales,$7,800,24,500,18,000],[$Cordless Cost,$74\mathrm{.}45,69\mathrm{.}75,44],[$Cordless Prod Hrs$,0\mathrm{.}8,0\mathrm{.}7,0\mathrm{.}4],[$Cordless Test Hrs$,0\mathrm{.}4,0\mathrm{.}4,0\mathrm{.}4],[$Cordless Pkg Hrs$,0\mathrm{.}15,0\mathrm{.}25,0\mathrm{.}2],[$Cordless Sales,$10,500,15,500,14,000],[$Prod Hrs max,$20,000,30,000,20,000],[$Testing Hrs max,$9,000,15,000,18,000],[$Pkg Hrs max,$5,000,15,000,5,000]]$