$$Andrea Dawson, a sandwich vendor at her town's annual Hard Rock Festival, created a table of conditional values for the various alternatives $($stocking decision$)$ and states of nature $($size of crowd$)$ Alternatives Large Stock Average Stock Small Stock States of Nature $($demand $)$ BigAverageSmall $22,000$ $ $10,000$ $$2,000$ $ $14,000$ $$11,000$ $$6,500$ $$8,400$ $$8,100$ $ $4,800$ The probabilities associated with the states of nature are $0\mathrm{.}30$ for a big demand $,0\mathrm{.}45$ for an average demand $,$ and $0\mathrm{.}25$ for a small demand $.$ a$)$ The alternative that provides Andrea Daswon the greatest expected monetary value $($EMV $)$ is The EMV of this decision is enter your answer as a whole number $)$ bThe expected value of perfect information EVP $)$ Dawson enter your answer as a whole number $)$