Patrick Bateman is considering four alternatives Friday night. The payoff for each opportunity will depend on economic and other conditions, and are represented in the payoff table below. If the probabilities of each economic condition are $0\mathrm{.}5,0\mathrm{.}1,0\mathrm{.}35,$ and $0\mathrm{.}05,$ respectively, what is the expected value of perfect information? PoorAverageGoodExcellentReturn videotapes$50254025$Dinner at Dorsia$803002010$Pick up friends in his limo$100152550$Design new business cards$2575-5030$ Select one:a$.$The EVPI is $19.$b$.$The EVPI is $17.$c$.$The EVPI is $18.$d$.$The EVPI is $21.$