Deborah$$ Hollwager, a concessionaire for the Amway Center in$$ Orlando, has developed a table of conditional values for the

various alternatives$($stocking decision$)$ and states of nature$($size of$$ crowd$)$:

$$

States of Nature$($size of$$ crowd$)$

Alternatives

Large

Average

Small

Large Inventory

$ $18$ comma $000$

$ $10$ comma $000$

negative $ $2$ comma $000$

Average Inventory

$ $16$ comma $000$

$ $16$ comma $000$

$ $8$ comma $000$

Small Inventory

$ $9$ comma $000$

$ $4$ comma $000$

$ $5$ comma $000$

Probabilities associated with the states of nature are $0\mathrm{.}30$ for a large$$ crowd, $0\mathrm{.}50$ for an average$$ crowd, and $0\mathrm{.}20$ for a small crowd.

$$a$)$ The alternative that provides Deborah the greatest expected monetary value $($EMVLOADING$...)$ is

$$

$.$

The EMV for this decision is $$$

$$

enter your response here $($enter your answer as a whole $$number$).$