$\backslash$table$[[$Variable$,$Value,Reduced Cost$],[,----.,----,..................],[$E$,,00000,0\mathrm{.}00000],[$S$,,00000,0\mathrm{.}00000],[$D$,,00000,-24\mathrm{.}00000],[$Constraint$,$Slack,rplus,Dual Value$],[,-$cdots,dots,$---------------],[1,,\mathrm{.}00000,31\mathrm{.}00000],[2,,\mathrm{.}00000,32\mathrm{.}00000],[3,,\mathrm{.}00000,0\mathrm{.}00000],[,$Objective,Allowable,Allowable$],[$Variable$,$Coefficient,Increase,Decrease$],[--------,--.-.-.-.-.-.,-.-.-.-.-.-.,-...........],[$E$,63\mathrm{.}00000,12\mathrm{.}00000,15\mathrm{.}50000],[s,95\mathrm{.}00000,31\mathrm{.}00000,8\mathrm{.}00000],[$D$,135\mathrm{.}00000,24\mathrm{.}00000,$Infinite.$],[,$RHS$,$Allowable,Allowable$],[$Constraint$,$Value,Increase,Decrease$],[,,-.-.-.-.-.-.-,-...-.-.-.],[1,200\mathrm{.}00000,80\mathrm{.}00000,40\mathrm{.}00000],[2,320\mathrm{.}00000,80\mathrm{.}00000,120\mathrm{.}00000],[3,2400\mathrm{.}00000,$Infinite,$320\mathrm{.}00000]]$

Suppose the profit for the economy model is increased by $$6$ per unit, the profit for the standard model is decreased by $$2$ per unit, and the profit for the deluxe model is increased by $$4$ per unit. What will the new optimal solution be$?$

The new solutiont an be found using Excel or Desmos

the optimal solution of $E=80,S=120,D=0$ will change

Both answers are correct: the optimal solution of $E=80,S=120,D=0$ will change and the new solution can be found using Excel or Desmos.

the optimal solution of $E=80,S=120,D=0$ will not change