$95,$ and $$135,$ respectively. The production requirements per unit are as follows:Number ofFansNumber ofCooling CoilsManufacturingTime $($hours$)$Economy$118$Standard$1212$Deluxe$1414$For the coming production period, the company has $240$ fan motors, $340$ cooling coils, and $2,500$ hours of manufacturing time available. How many economy models $($E$),$ standard models $($S$),$ and deluxe models $($D$)$ should the company produce in order to maximize profit? The linear programming model for the problem is as follows:Max $63$E $+95$S $+135$Ds$.$t$\mathrm{.}1$E $+1$S $+1$D $240$ Fan motors$1$E $+2$S $+4$D $340$ Cooling coils$8$E $+12$S $+14$D $2,500$ Manufacturing timeE, S$,$ D $0$