Refer to the following sensitivity report:

Variable cells

Cell Name Final Value Reduced Cost Objective Coefficient Allowable Increase Allowable Decrease

$B$$2$ Product$\_102521$E$+30$

$B$$3$ Product$\_2175071$E$+301$

$B$$4$ Product$\_301\mathrm{.}591\mathrm{.}51$E$+30$

Constraints

Cell Name Final Value Shadow Price Constraint R$.$H$.$ Side Allowable Increase Allowable Decrease

$H$$9$ Resource A $001001$E$+30100$

$H$$10$ Resource B $52508001$E$+30275$

$H$$11$ Resource C $7001\mathrm{.}75700366\mathrm{.}6666667700$

If the objective function coefficient for Product$\_1$ were increased to a value of $8,$ which of the following would be TRUE?

The optimal solution would change.

The optimal objective function value would stay the same.

Product$\_1$ would enter the solution $($the final value of the variable Product$\_1$ would be greater than zero$).$

Multiple Choice

I only

II only

III only

I, II$,$ and III are all true.

Only I and III are true.