Consider the graphical solution to the product mix problem. Now imagine that another constraint$$ any constr$\backslash$table$[[,$A$,$B$,$C$,$D$,$E$],[1,$Building PCs$,,,,],[2,,,,,],[3,$Labor cost$/$hr assembly,$$11,,,],[4,$Labor cost$/$hr testing,$$15,,,],[5,,,,,],[6,$Input,,,,$],[7,,$PC$1,$PC$2,$PC$3,],[8,$Labor hrs$.($assembly$),5,6,8,],[9,$Labor hrs$.($testing$),1,2,3,],[10,$Cost of hardware,$$150,$$$225,275,],[11,$Selling price,$$300,$$$450,560,],[12,$Test profit,$$80,$$$129,$$$152,],[13,,,,,],[14,$Testing profit model,,,,$],[15,,$PC$1,$PC$2,$PC$3,],[16,$Production quantity,

$\backslash$table$[[18,$Maximum sales,$600,1200,50,],[19,,,,,,,],[20,$Constraints $($monthly hrs$.),$Hours used,,Hours available,,,$],[21,$Assembly labor usage,Testing labor usage,Net total profit,PC$1,$PC$2,$PC$3,$Total,,$],[25,,$$$41,120,$$$154,800,$$$4,408,$$$200,328,,]]$aint$$is added. Which of the following three things are possible: $(1)$ the feasible region shrinks; $(2)$ the feasible region stays the same;

$(3)$ the feasible region expands? Which of the following three things are possible: $(1)$ the optimal value in objective cell decreases; $(2)$ the optimal value in objective cell stays the same; $(3)$ the optimal value in objective cell increases?

Explain your answers. Do they hold just for this particular model, or do they hold in general? Please help ASAP and send pictures!