Refer to the following sensitivity report:

Variable Cells

CellNameFinal ValueReduced CostObjective CoefficientAllowable IncreaseAllowable Decrease$B$$2$Product$\_102521$E$+30$$B$$3$Product$\_2175071$E$+301$$B$$4$Product$\_301\mathrm{.}591\mathrm{.}51$E$+30$

Constraints

CellNameFinal ValueShadow PriceConstraint R$.$H$.$ SideAllowable IncreaseAllowable 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 changed to $6$ and the objective function coefficient for Product$\_3$ were changed to $10,$ what would be the effect on the optimal solution?

Multiple Choice

The optimal solution remains the same.

The optimal solution may or may not remain the same.

The optimal solution will change.

The shadow prices are valid.

None of the answer choices is correct.