The following payoff table provides profits based on various possible decision alternatives and various levels of demand.

States of Nature

Demand

Alternatives

Low

Medium

High

Alternative $1$

$80$

$120$

$140$

Alternative $2$

$90$

$90$

$90$

Alternative $3$

$50$

$70$

$150$

The probability of a low demand is $0\mathrm{.}4,$ while the probability of a medium and high demand is each $0\mathrm{.}3.$

What is the expected value of perfect information $($EVPI$)?$