In addition to the three options, the management is considering another one: $($D$)$ Extend the existing facility. The profit is estimated to be $$250$k for high demand, $$10$k for medium demand, and $-$$$300$k for low demand, respectively. Which of the following statement$($s$)$ is$/$are true? $($There can be multiple true statements.$)$

Group of answer choices

The best option is $($D$)$ because its expected profit is greater than those of other options.

The best option is $($B$)$ because the expected profit of option $($D$)$ does not exceed $$80\mathrm{.}5$k$.$

The firm$$s best expected profit is strictly decreased by adding option $($D$).$

The firm$$s expected value of perfect information $($EVPI$)$ is not affected by adding option $($D$)$ because it is not selected.